chapter 7 resource masters -...

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Teacher’s Guide to UsingChapter 7 Resources ..............................................iv

Chapter 7 Graphic Organizer ....................................... 1Student Glossary .............................................................. 2Family Letter .................................................................... 4Family Letter Spanish .... ..................... ...........................5Chapter 7 Anticipation Guide ...................................... 6Chapter 7 Game .............................................................. 7

Lesson 7-1 Multiples of 10, 100, and 1,000Reteach ....................................................................... 8Skills Practice ........................................................... .9Homework Practice ...............................................10Problem-Solving Practice ....................................11Enrich .........................................................................12

Lesson 7-2 Problem-Solving Skill: Reasonable Answers Reteach .....................................................................13Skills Practice ..........................................................15Homework Practice ...............................................16 Enrich .........................................................................17

Lesson 7-3 Use Rounding to Estimate ProductsReteach .....................................................................18Skills Practice ..........................................................19Homework Practice ...............................................20Problem-Solving Practice ....................................21Enrich .........................................................................22

Lesson 7-4 Multiply Two-Digit NumbersReteach .....................................................................23Skills Practice ..........................................................24Homework Practice ...............................................25Problem-Solving Practice ....................................26Enrich .........................................................................27

Lesson 7-5 Problem-Solving Investigation: Choose a StrategyReteach .....................................................................28Skills Practice ..........................................................30Homework Practice ...............................................31Enrich .........................................................................32

Lesson 7-6 Multiply Multi–Digit Numbers Reteach .....................................................................33Skills Practice ..........................................................34Homework Practice ...............................................35Problem-Solving Practice ....................................36Enrich .........................................................................37

Lesson 7-7 Multiply Across Zeros Reteach .....................................................................38Skills Practice ..........................................................39Homework Practice ...............................................40Problem-Solving Practice ....................................41Enrich .........................................................................42

Individual Progress Checklist .....................................43

Chapter Tests:Chapter Diagnostic Assessment ...............................44Chapter Pretest ..............................................................45Quiz 1 ................................................................................46Quiz 2 ................................................................................47Quiz 3 ..............................................................................48Mid-Chapter Review .....................................................49Vocabulary Test ..............................................................50Oral Assessment ............................................................51Chapter Project Rubric .................................................53Foldables Rubric ............................................................54Test Form 1 .....................................................................55Test Form 2A ...................................................................57Test Form 2B ...................................................................59Test Form 2C ...................................................................61Test Form 2D ..................................................................63Test Form 3 .....................................................................65Extended-Response Test .............................................67

Recording Sheet ..........................................................68

Cumulative Standardized Test Practice ...........69

Answer Pages ...............................................................A1

Grade 4 Chapter 7Table of Contents

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Teacher’s Guide to Using the Chapter 7 Resource Masters

The Chapter 7 Resource Masters includes the core materials needed for Chapter 7. These materials include worksheets, extensions, and assessment options. The answers for these pages appear at the back of this booklet.

All of the materials found in this booklet are included for viewing and printing on the TeacherWorks PlusTM CD-ROM.

Chapter ResourcesGraphic Organizer (page 1) This master is a tool designed to assist students with comprehension of grade-level concepts. You can use this graphic organizer in coordination with the appropriate lesson. While the content and layout of these tools vary, their goal is to assist students by providing a visual representation from which they can learn new concepts.

Student Glossary (page 2) This master is a study tool that presents the key vocabulary terms from the chapter. You may suggest that students highlight or star the terms they do not understand. Give this list to students before beginning Lesson 7-1. Remind them to add these pages to their mathematics study notebooks.

Anticipation Guide (page 6) This master is a survey designed for use before beginning the chapter. You can use this survey to highlight what students may or may not know about the concepts in the chapter. If feasible, interview students in small groups, asking them the interview questions in the guide. There is space for recording how well students answer the questions before they complete the chapter. You may find it helpful to interview students a second time, after completing the chapter, to determine their progress.

Game (page 7) A game is provided to reinforce chapter concepts and may be used at appropriate times throughout the chapter.

Resources for LessonsReteach Each lesson has an associated Reteach worksheet. In general, the Reteach worksheet focuses on the same lesson content but uses a different approach, learning style,

or modality than that used in the Student Edition. The Reteach worksheet closes with computational practice of the concept.

Skills Practice The Skills Practice worksheet for each lesson focuses on the computational aspect of the lesson. The Skills Practice worksheet may be helpful in providing additional practice of the skill taught in the lesson. It also contains word problems that cover the skill. Spaces for students’ answers are provided on the worksheet.

Homework Practice The Homework Practice worksheet provides an opportunity for additional computational practice. The Homework Practice worksheet includes word problems that address the skill taught in the lesson. Spaces for students’ answers are provided on the worksheet.

Problem-Solving Practice The Problem-Solving Practice worksheet presents additional reinforcement in solving word problems that apply both the concepts of the lesson and some review concepts.

Enrich The Enrich worksheet presents activities that extend the concepts of the lesson or offer a historical or multicultural look at the lesson’s concepts. Some Enrich materials are designed to widen students’ perspectives on the mathematics they are learning.

Resources for Problem-Solving Lessons In recognition of the importance of problem-solving strategies, worksheets for problem-solving lessons follow a slightly different format. For problem-solving lessons, a two-page Reteach worksheet offers a complete model for choosing a problem-solving strategy. For each Problem-Solving Strategy lesson, Reteach and Homework

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Practice worksheets offer reinforcement of the strategy taught in the Student Edition lesson. In contrast, the Problem-Solving Investigation worksheets include a model strategy on the Reteach worksheets and provide problems requiring several alternate strategies on practice worksheets.

Assessment OptionsThe assessment masters in the Chapter 7 Resource Masters offer a wide variety of assessment tools for monitoring progress as well as final assessment.

Individual Progress Checklist This checklist explains the chapter’s goals or objectives. Teachers can record whether a student’s mastery of each objective is beginning (B), developing (D), or mastered (M). The checklist includes space to record notes to parents as well as other pertinent observations.

Chapter Diagnostic Assessment This one-page test assesses students’ grasp of skills that are needed for success in the chapter.

Chapter Pretest This one-page quick check of the chapter’s concepts is useful for determining pacing. Performance on the pretest can help you determine which concepts can be covered quickly and which specific concepts may need additional time.

Mid-Chapter Review This one-page chapter test provides an option to assess the first half of the chapter. It includes both multiple-choice and free-response questions.

Quizzes Three free-response quizzes offer quick assessment opportunities at appropriate intervals in the chapter.

Vocabulary Test This one-page test focuses on chapter vocabulary. It is suitable for all students. It includes a list of vocabulary words and questions to assess students’ knowledge of the words.

Oral Assessment This two-page test consists of one page for teacher directions and questions and a second page for recording responses. Although this assessment is designed to be used with all students, the interview format focuses on assessing chapter content assimilated by ELL students. The variety of

approaches includes solving problems using manipulatives as well as pencil and paper.

Chapter Project Rubric This one-page rubric is designed for use in assessing the chapter project. You may want to distribute copies of the rubric when you assign the project and use the rubric to record each student’s chapter project score.

Foldables Rubric This one-page rubric is designed to assess the Foldables graphic organizer. The rubric is written to the students, telling them what you will be looking for as you evaluate their completed Foldables graphic organizer.

Leveled Chapter Tests• Form 1 assesses basic chapter concepts

through multiple-choice questions and is designed for use with on-level students.

• Form 2A is designed for on-level students and is primarily for those who may have missed the Form 1 test. It may be used as a retest for students who received additional instruction following the Form 1 test.

• Form 2B is designed for students with a below-level command of the English language.

• Form 2C is a free-response test designed for on-level students.

• Form 2D is written for students with a below-level command of the English language.

• Form 3 is a free-response test written for above-level students.

• Extended-Response Test is an extended response test for on-level students.

Student Recording Sheet This one-page recording sheet is for the standardized test in the Student Edition.

Cumulative Standardized Test Practice This three-page test, aimed at on-level students, offers multiple-choice questions and free-response questions.

AnswersThe answers for the Anticipation Guide and Lesson Resources are provided as reduced pages with answers appearing in black. Full size line-up answer keys are provided for the Assessment Masters.

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Graphic Organizer7

Fill in the table.

×10 ×100 ×1000

8

6

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Student-Built Glossary

This is an alphabetical list of new vocabulary terms you will learn in Chapter 7: Multiplying One-Digit Numbers. As you study the chapter, complete each term’s definition or description. Remember to add the page number where you found the term. Add this page to your math study notebook to review vocabulary at the end of the chapter.

Vocabulary TermFound

on PageDefinition/Description/Example

addition

division

estimate

7


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7

multiplication

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Student-Built Glossary (continued)


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Grade 4 4 Chapter 7Grade 4 4 Chapter 7

Dear Family, Today my class started Chapter 7: Multiply by One-Digit Numbers. I will be learning to multiply multiples of 10, 100, and 1,000. I will also be learning to estimate products by rounding. Here are my vocabulary words and an activity that we can do together. Love, ______________________

The Rajah’s Rice by David Barry

The King’s Chessboard by David Birch

Amanda Bean’s Amazing Dreamby Cindy Neuschwander

Books to Read

Key Vocabulary

addition An operation on two or more addends that is equal to a sum. 4 + 4 = 8.

division An operation on two numbers in which the first number is split into equal groups. Each group has a size equal to the second number.

estimate A number close to an exact value; an estimate indicates about how much. An estimate for $4.99 is $5.

multiplication An operation on two numbers to find their product. It can be thought of as repeated addition. 5 × 5 = 25.

product The answer to a multiplication problem. It also refers to expressing a number as a product of its factors. 4 × 3 = 12.

product

Collect 10 dimes, 20 nickels, and

30 pennies. If you multiplied each

total number by 10, how many of

each coin would you have?

Activity

subtraction An operation on two numbers that tells the difference, when some or all are taken away. 7 - 3 = 4.

whole number The numbers 0, 1, 2, 3, 4 . . .

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Grade 4 5 Chapter 7Grade 4 5 Chapter 7

Estimada familia: Hoy mi clase comenzó el Capítulo 7: Multiplica por números de un dígito. Aprenderé a multiplicar por múltiplos de 10, 100 y, 1000 y también a estimar productos por redondeo. A continuación, están mis palabras de vocabulario y una actividad que podemos hacer juntos Cariños, ________________

The Rajah’s Rice de David BarryThe King’s Chessboard de David BirchAmanda Bean’s Amazing Dream de Cindy Neuschwander

Libros recomendados

Vocabulario clave

adición Operación en dos o más sumandos que resulta en una suma. 4 + 4 = 8

división Operación de dos números en la cuál el primer número está dividido en grupos iguales. Cada grupo tiene un tamaño igual al segundo número.

estimación Número cercano a un valor exacto. Una estimación indica aproximadamente cuánto. Una estimación para $4.99 es $5.

multiplicación Operación en dos números para calcular su producto. También se puede interpretar como una adición repetida. 5 × 5 = 25

producto Repuesta de un problema de multiplicación. También se refiere a la expresión de un número como el producto de sus factores. 4 × 3 = 12

producto

Reúnan 10 monedas de 10¢, 20

monedas de 5¢, y 30 monedas de

1¢. Si multiplicaran cada número

total por 10, ¿cuántas de cada

moneda tendrías?

Actividad

sustracción Operación en dos números que indica la diferencia, cuando algunos o todos son eliminados. 7 – 3 = 4

número entero Los números 0, 1, 2, 3, 4 . . .

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Grade 4 6 Chapter 7

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Before you begin Chapter 7

• Read each statement. • Decide whether you agree (A) or disagree (D) with the statement. • Write A or D in the first column OR if you are not sure whether you agree or

disagree, write NS (not sure).

Anticipation GuideMultiply by One-Digit Numbers

STEP 1

STEP 2 After you complete Chapter 7

• Reread each statement and complete the last column by entering an A (agree) or a D (disagree).

• Did any of your opinions about the statements change from the first column?

• For those statements that you mark with a D, use a separate sheet of paper to explain why you disagree. Use examples, if possible.

STEP 1A, D, or NS

StatementSTEP 2A or D

1. Knowing basic facts and number patterns can help you to multiply mentally.

2. 2 × 2,000 = 4,000

3. 5 × 10,000 = 50,000

4. 3 × 900 = 7,200

5. Using partial products can help you to multiply multi-digit numbers.

6. When multiplying by a four-digit number, you should multiply the ones, then the tens, then the hundreds, and finally the thousands, and then add them all together.

7. Using estimation, 5 × $3,300 is about $15,000 (5 × $3,000).

8. Using estimation, 4 × 6,700 is about 28,000 (4 × 7,000).

9. You multiply multi-digit numbers the same way that you multiply a two-digit number by a one-digit number.

10. 7 × 20 > 6 × 90

7Name Date


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7Chapter 7 Game

Product plus!

You will need: 3 number cubes

Paper and pencil

Clear some space, clear your mind, and get ready to roll!

1. Roll the cubes.

2. Use the cubes to create a 2-digit times 1-digit multiplication problem.

3. Have each player record his or her problem and find the product.

4. Roll the cubes again.

5. Create a problem and add the product to the product from the first roll.

6. Continue to roll and add the products. The winner is the first player whose sum reaches 1,000.

32 6

41 5

65 2

63

2524×

147

399252+

21

1477×


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ReteachMultiples of 10, 100, and 1,000

Multiply each number below by 10 by adding a zeroto the end of the number.

1. 2 × 10 = 2. 3 × 10 =

Multiply each number below by 100 by adding two zerosto the end of the number.

3. 7 × 100 = 4. 1 × 100 =

Multiply each number below by 1,000 by adding three zerosto the end of the number.

5. 6 × 1,000 = 6. 9 × 1,000 =

Multiply. Use basic facts and patterns.

7. 3 × 5 = 15

3 × 50 = 150

3 × 500 =

3 × 5,000 = 15,000

8. 5 × 2 =

5 × 20 = 100

5 × 200 = 1,000

5 × 2,000 =

7–1

9. 4 × 2 = 8

4 × 20 = 80

4 × 200 =

4 × 2,000 =

10. 6 × 5 = 30

6 × 50 = 300

6 × 500 =

6 × 5,000 =


11. 1 × 1,000 =

13. 9 × 200 =

15. 3 × 9,000 =

17. 5 × 50 =

19. 8 × 6,000 =

12. 6 × 400 =

14. 8 × 90 =

16. 2 × 700 =

18. 4 × 8,000 =

20. 7 × 500 =

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1. 6 × 30 = 11. 600 × 5 =

2. 5 × 300 = 12. 7,000 × 4 =

3. 4 × 3,000 = 13. 30 × 2 =

4. 5 × 40 = 14. 7 × 200 =

5. 7 × 300 = 15. 8 × 700 =

6. 9 × 1,000 = 16. 9 × 700 =

7. 8 × 20 = 17. 8 × 50 =

8. 7 × 500 = 18. 700 × 6 =

9. 2 × 9,000 = 19. 4,000 × 9 =

10. 9 × 80 = 20. 5 × 60 =

Fine the value of each variable.

21. 5 × n = 2,500 23. 1 × n = 10

22. 8 × n = 32,000 24. 60 × n = 120

Skills PracticeMultiples of 10, 100, and 1,000

7–1

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1. 4 × 1 = 2. 6 × 7 =

4 × 10 = 6 × 70 =

4 × 100 = 6 × 700 =

4 × 1,000 = 6 × 7,000 =

Multiply. Use mental math.

3. 2 × 70 = 4. 9 × 500 =

5. 7 × 4,000 =

ALGEBRA Find the value of each variable.

6. 30 × n = 120 7. 6 × n = 3,600

ALGEBRA Find the value of each expression if k = 2.

8. 20 × k = 9. k × 500 =

10. Joe bought a house. His payments are $1,000 a month. How much

will he pay for 5 months?

Tell whether each equation is balanced. Explain. (Lesson 6–7)

11. 48 ÷ 8 = (4 × 3) ÷ 2

12. 6 × 5 × 2 = 2 × 7 × 3

13. 3 × 9 × 2 = 6 × 3 × 3

Complete each equation to make it balanced.

14. (16 - 4) × = 3 × 8 15. 3 × (10 - 3) = × 7

7–1Homework PracticeMultiples of 10, 100, and 1,000


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Solve.

1. There were 20 pirates on a ship. Each one had 1 eye patch.How many eye patches were on the ship in all?

2. The pirates had 6 treasure chests with gold coins. Each chest had 9,000 gold coins. How many gold coins did the pirates have in all?

3. The pirates traveled 50 miles every day. They have been at sea for 8 days. How many miles have they traveled altogether?

4. One day the pirates sighted 2 whales every hour for 10 hours. How many total whales were sighted?

5. Over the 8 days that they have been at sea, the pirates ate 20 fish each day. How many fish were eaten in all?

6. The pirates plan to explore 3 islands which will require walking 20 miles per day. How many miles will they have walked if it takes 4 days to explore all 3 islands?

7. Four of the pirates have been away at sea for 200 days. How many days total have these four pirates been away at sea?

Problem-Solving PracticeMultiples of 10, 100, and 1,000

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The numbers in these patterns are multiples of 10. Continue each pattern and write the rule.

1. 200, 2,000, 20,000, 200,000,

The rule is:

2. 10, 50, 250, 1,250,

The rule is:

3. 9,600, 4,800, 2,400, 1,200,

The rule is:

4. 30, 60, 120, 240,

The rule is:

5. 3,400,000,000, 34,000,000, 340,000, 3400,

The rule is:

Solve these problems. Use the answers to the fill in the blanks so that the paragraph makes sense.

3 × 1 = 3 × 10 = 3 × 100 =

About 126 kinds of fish and 346 kinds of mammals are on the

endangered species list. The mountain gorilla, one of kinds of gorillas that live in Africa, is endangered. Fewer than 640 mountain gorillas exist in the wild. They live in groups and eat mostly plants. The

average male weighs more than pounds and lives between

and 50 years.

7–1EnrichExTENding Patterns

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Jeff wants to invite some friends over for dinner. He has a large rectangular table and knows there is room to seat 10 people on each of the long sides and 4 on the two ends of his table.

If Jeff wants everyone seated at the table, how many friends can he invite? Is it reasonable for him to invite 40 people?

Step 1: Understand. What facts do you know?Jeff can seat 10 people on each of the long sides of his table.Jeff can seat 4 people on each of the ends of his table.Jeff wants everyone seated at the table.

Step 2: Plan. What you need to know?How many friends is it reasonable for Jeff to invite?

Step 3: Solve. What math do you need to do?You need to figure out the number of people that can sit at the table, based on all of the amounts that you have.2 long sides, 10 people each: 10 × 2 = 20 2 ends, 4 people each: 4 × 2 = 8Add the amounts: 20 + 8 = 28 people can sit at the table.

Step 4: Check. See if your answer makes sense.When you compare the amount that can sit at the table, 28, to the amount of people that Jeff wants to invite, 40, you can see that it is not reasonable for him to invite 40 guests. If Jeff only has seats for 28, how many friends should he invite? (Remember, Jeff needs a seat too!)

Use the steps above to solve the following problem.Brittany was given 3 movies to watch in her free time. Each movie is 100 minutes long. Brittany has 70 minutes to relax before she goes to work every day, Monday through Friday. Is it reasonable for her to expect to watch all three movies, starting Monday and ending on Friday?

ReteachProblem–Solving Skill: Reasonable Answers

7–2


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Step 1: Understand. What facts do you know?

Step 2: Plan. What you need to know?

Step 3: Solve. What math do you need to do?

Figure out the total minutes it will take to watch all three movies.

Step 4: Check. See if your answer makes sense.

Decide whether each answer is reasonable. Explain your reasoning.

1. Sandy owns her own pizza restaurant. Her profit is about $2,000 a week. She needs to put aside $400 a week for taxes. Is it

reasonable for her to spend $1,900 a week?

2. Sandy works 5 days a week. Her total number of hours each week is 50. Is it reasonable to say that Sandy works 7 hours a day?

Reteach (continued)

Problem–Solving Skill: Reasonable Answers

7–2


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1. Jill is in charge of the school fair that will go on for a week. There will be 10 different volunteers helping each day. Is 70 a reasonable estimate of the number of people who are expected to volunteer?

2. Jill will have to walk home from the fair each day for the week. The fair is 1 mile from her home. Is it reasonable to say that she will walk more than 10 miles before the week is over?

3. Jill expects that the sale of donated soda will bring in about $50 a day for the week. Is it reasonable for her to expect at least $500 from soda sales by the end of the week?

4. Jill was able to collect donations of about $60 a month for the 10 months that she was planning the fair. She saved all of the money. In addition, she was given $350 that had been put aside from the previous fair. She needs $1,000 to rent a ferris wheel. Is it reasonable to say that she can pay for the ferris wheel rental in full?

Types of Prizes Number Collected

stuffed animals 98

plastic models 54

yo-yos 96

stopwatches 49

5. The table above shows the numbers of different prizes Jill collected for the fair. Is it reasonable for her to say that she has close to 300 prizes to give to those who win games?

6. Jill has spent a total of 6,000 minutes organizing the fair. Is it reasonable for her to claim that she organized the fair in under

10 hours?

Skills PracticeProblem–Solving Skill: Reasonable Answers

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1. Sam travels from Baltimore to Boston each year. It takes him 10 hours to get to Boston. He stops 3 times, for an hour each time. If he only stopped once, is it reasonable to say that he could get there in 6 hours?

2. The table below shows Sam’s expenses for his trip to Boston. Was it reasonable for Sam to say that the trip cost him close to $400?

Expenses Amount Spent

Food $103

Gas $252

Tolls $36

3. Write a problem that would have $1,000 as a reasonable answer.

Multiply. Use mental math. (Lesson 7–1)

4. 2 × 4,000 = 5. 3 × 80 =

6. 9 × 600 = 7. 4 × 5,000 =

8. 5 × 50 = 9. 6 × 900 =

10. 6 × 200 = 11. 8 × 1,000 =

12. 9 × 30 = 13. 5 × 70 =

ALGEBRA Find the value of each variable.

14. n × 20 = 60

15. t × 8 = 56,000

Homework PracticeProblem–Solving Skill: Reasonable Answers

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1 2 3 4

8 9 105 6 7 11

15 16 1712 13 14 18

22 23 2419 20 21 25

29 30 3126 27 28

OCTOBERS M T W T F S

Today is Tuesday and Scott has a book report due a week from next Friday. His favorite stories are science fiction.

1. If Scott starts reading a 72-page book on Tuesday, and he reads 9 pages every day, on what day of the week will he finish reading the book?

2. What if Scott reads 10 pages a day?

3. On Thursday, October 2, Scott’s teacher announced that three book reports were due by the end of the month – on each of the dates that is a multiple of ten. On what days and dates are the book reports due?

Day Date

EnrichBook Reports

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To estimate products, round numbers. Then use basic facts and multiply.Look at the number lines below.

4 5 6 7 8 9 100 1 2 3

50 60 70 80 90 10010 20 30 40

500 600 700 800 900 1,000100 200 300 400

Ones

Tens

Hundreds

When a number is halfway between two numbers, round up.

Round the greater factor to its

greatest place.

Use basic facts and multiply.

1. 59 × 5

2. 579 × 4

3. 788 × 3

4. 6,222 × 6

5. 8,951 × 4

6. 42 × 7

7. 6,450 × 8

8. 683 × 4

9. 7,395 × 3

ReteachUse Rounding to Estimate Products

Remember to round the greater factor to its greatest place.

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Estimate each product.

Solve.

29. The ambulance workers order 6 first aid kits. Each kit costs $39. About how much does it cost for 6 kits?

30. An ambulance travels about 386 miles a day. About how many miles does it travel in a week?

Skills PracticeUse Rounding to Estimate Products

1. 5 × 21 =

2. 3 × 39 =

3. 7 × $46 =

4. 85 × 6 =

5. 17 × 9 =

6. 81 × 3 =

7. 2 × $298 =

8. 4 × 305 =

9. 478 × 6 =

10. 5 × 784 =

11. 612 × 9 =

12. 6 × 556 =

13. 2 × 1,987 =

14. 3 × $2,126 =

15. 7 × 1,905 =

16. 8 × 3,495 =

17. 4,723 × 4 =

18. 5 × $7,118 =

19. 41 × 6 =

20. 28 × 7 =

21. 96 × 2 =

22. 17 × 8 =

23. 31 × 9 =

24. 255 × 4 =

25. 488 × 3 =

26. 563 × 5 =

27. 2,307 × 5 =

28. 7,596 × 6 =


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1. 2 × 36 = 6. 5 × 423 =

2. 96 × 3 = 7. 6 × 523 =

3. 6 × 28 = 8. 3 × 667 =

4. 68 × 4 = 9. 2 × 366 =

5. 5 × 41 = 10. 4 × 712 =

Solve.

Homework Practice Use Rounding to Estimate Products

11. An airline pilot travels about 6,457 miles a week. About how many miles would she travel in a month?

12. If the L.A. Dodgers win about 21 games a month, about how many games would they win after three months?

Decide whether each answer is reasonable. Explain your reasoning. (Lesson 7-2)

13. Ted Williams had about 30 home runs a season. Is it reasonable to say that he had 300 home runs within a 6-year period?

14. Roger Clemens pitched about 16 winning games per year. After he had played 8 years for the Boston Red Sox, is it reasonable to say that he had about 130 wins?


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Problem-Solving PracticeUse Rounding to Estimate Products


1. Each fourth-grade class has 28 students. There are three classes in the school. About how many fourth-grade students are there in all?

2. Pizzas cost $11 each. Miss Adams buys 4 pizzas. About how much does she spend on pizzas?

3. Chad’s family wants to buy 6 different board games. Each board game costs $17.99. About how much will all of the board games cost?

4. Habib buys 3 books that cost $9 each. About how much money does he spend on books?

5. Mr. Bell buys 4 shirts that cost $17 each. He has $50 to spend. Does he have enough money? Explain.

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In the center of each flower below, you will see a range of products. Use your rounding and estimation skills to complete the multiplication problems on the petals so that the answers fall into that range of products.

Flower 1

3 ×

4 ×

5 ×

6 ×

7 ×

125−150

EnrichFlower Power

Range of Products: 125–150

5 petals: 3 ×

4 ×

5 ×

6 ×

7 ×

Flower 2

6 ×

7 ×

8 ×

9 ×

10 ×

700−800

Range of Products: 700–800

5 petals: 6 ×

7 ×

8 ×

9 ×

10 ×


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Step 1 Multiply the ones.

3 × 5 = 15

This time the product of the ones is larger. You need to regroup. You have 1 ten and 5 ones. You need to add that ten to the other tens.

Step 2Multiply the tens. Add the new ten.

1 10 × 5 = 50 + 10

The tens (50 + 10) added to the ones (5) = 65

13×5

5

13×5

513×565

13×565

Step 1 Multiply the ones. 3 × 3 = 9

0 1 2 3 4 5 6 7 8 9

Step 2Multiply the tens.

10 × 3 = 30

0 10 20 30

The tens (30) added to the ones (9) = 39

13×3

9

13×3

9

13×339

13×339

ReteachMultiply Two-Digit Numbers

Find 13 × 3. First, think in terms of tens and ones. 13 has 1 ten and 3 ones.

Second, set up the problem with the greater number on top.

Solve the problem.

13×313×3

7–4

Find 13 × 5.First, think in terms of tens and ones. 13 has 1 ten and 3 ones. Second, set up the problem with the greater number on top.

13×5

Solve the problem.

Multiply. Check for reasonableness.

1. 26 × 5 = 2. 22 × 7 = 3. 45 × 3 =


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1. 21 × 7 =

2. 38 × 5 =

3. 54 × 2 =

4. 49 × 6 =

5. 17 × 4 =

6. 25 × 9 =

7. 53 × 4 =

8. 28 × 7 =

9. 61 × 8 =

10. 39 × 2 =

11. 62 × 2 =

12. 38 × 4 =

13. 91 × 3 =

14. 46 × 5 =

15. 78 × 6 =

Skills PracticeMultiply Two-Digit Numbers

7–4

31. Look back over this page and circle every product greater than 300.

Multiply.

16. 98 × 5 =

17. 76 × 6 =

18. 24 × 9 =

19. 56 × 7 =

20. 48 × 8 =

21. 66 × 6 =

22. 77 × 7 =

23. 94 × 3 =

24. 59 × 4 =

25. 44 × 9 =

26. 24 × 7 =

27. 19 × 8 =

28. 67 × 5 =

29. 84 × 4 =

30. 91 × 2 =


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Solve.

17. A rectangle is 5 tiles wide by 13 tiles high. How many tiles are in the rectangle?

18. Books are stacked in 3 stacks with 17 books in each stack. How many books are in the stacks?

Estimate each product. (Lesson 7-3)

Homework PracticeMultiply Two-Digit Numbers

7–4

1. 73 × 3 =

3. 44 × 5 =

5. 31 × 7 =

7. 68 × 8 =

9. 32 × 9 =

11. 65 × 5 =

13. 33 × 6 =

15. 96 × 3 =

2. 88 × 4 =

4. 74 × 5 =

6. 85 × 4 =

8. 77 × 6 =

10. 97 × 2 =

12. 66 × 8 =

14. 94 × 3 =

16. 59 × 7 =

Multiply.

19. 89 × 2 =

21. 6 × 105 =

23. 4 × 209 =

20. 396 × 4 =

22. 3 × 412 =

24. 3 × 970 =

Solve.

25. A football player runs about 104 yards each game. After he has played 2 games, about how many yards has he run?


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1. There are 3 birds on the ground. Each bird eats 10 worms. How many worms are eaten all together?

2. Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?

3. The school auditorium has 4 rows of seats. There are 18 seats in each row. How many students can sit in the auditorium?

4. The school cafeteria has 6 rows of tables. Each row has 22 places to sit. How many students can eat in the school cafeteria?

5. Scott is playing a game of memory with some picture cards. He makes 4 rows and puts 23 cards in each row. How many picture cards is Scott using in this game?

6. Kate would like to play the memory game, too. She adds her cards to the game. Now, there are 8 rows, and 24 cards in each row. How many cards are there now?

7. John wants to buy birthday gifts for 8 friends. He can spend $19 for each gift. How much will he spend in all?

8. Caroline makes $5 an hour pet-sitting for the neighbors. Last summer she worked 31 hours. How much money did Caroline earn?

7–4Problem-Solving PracticeMultiply Two-Digit Numbers

Solve.


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Use the clues to figure out each factor. Write them in the two top boxes. Then multiply and write the product in the third box.

1. Prime number between 25 and 30 × Odd number greater than 6 and divisible by 3

2. Letters in “multiplication” × Quarts in a gallon

3. Square number close to 50 × Half a dozen

4. Inches in a yard × Days in a week

5. Five times eleven × Sides of an octagon

EnrichWhat’s the Problem?

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ReteachProblem-Solving Investigation

Choose the Best Strategy

Here are five problem-solving strategies and tips on how to use them.

Strategy How to Use ItUse the four-step plan Understand the facts. Plan your

strategy. Solve the problem using the strategy. Check your work.

Draw a picture Create a picture from the words in the problem to help you find the answer.

Look for a pattern Spot whether there is something in the problem that repeats or looks the same.

Make a table Organize data by making a table with columns for each category and rows for each number. Fill in the numbers to solve the problem.

Work backward Start with the information given in the problem. Then use subtraction to find the answer to the problem.

Use any strategy shown below to solve. Tell what strategy you used.

• Use the four-step plan • Make a table • Draw a picture • Work backward • Look for a pattern

1. Bob wants to treat his 3 friends to rides at an amusement park. All-day passes cost $10. What will Bob have to pay for himself and his friends to go on the rides all day?

7–5


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2. Russ is setting up his science project about the seashore at the fair. He has several rocks at the edge of the water, on the right side of the display. He has sand on the left side. Five starfish are on the right side of the rocks, touching the water. Are the starfish next to the sand?

3. Fill in the missing number. 3, 6, 12, 24, , 96, 192

4. There are 5 marbles in each bag. How many marbles do you have if you are given 10 bags of red marbles, 12 bags of yellow marbles, and 8 bags of blue marbles?

5. Mary now has 5 pairs of sneakers. Her friend gave her 1 white pair yesterday. Her mom bought her new pink ones this morning. How many pairs did she have originally?

6. Hank is planting pepper plants. In the first row, he plants 1 pepper. In the second row, he plants 2. In the third row, he plants 4. In the fourth row he plants 8. How many peppers will he plant in the sixth row?

7. Now, Jay has a collection of 20 baseball hats. He just got a new one on a school trip. Last week, his father’s friend gave him 6 hats. How many hats did he have originally?

8. Jerry was late to school all week. On Monday, Tuesday, and Wednesday; Jerry was 30 minutes late. On Thursday and Friday he was 50 minutes late. The principal told him that he would have to stay after school and make up all of the time before the end of the year. How many minutes will Jerry have to stay after school?

Reteach (continued)

Problem-Solving Investigation

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Problem-Solving Strategies

• Draw a picture • Make a table • Look for a pattern • Work backward

Use any strategy shown above to solve. Tell what strategy you used.

1. Fred is buying soda and snacks for a school event. He has to walk to the store and can only carry a limited amount at one time. He walked to the store 4 times. The first time he brought back 10 items, the second time 32, the third time 12, and the last time 15. How many items did he purchase?

2. Joe is building a storage shed. He needs 200 nails for each one of the 4 sides, 500 nails for the roof, 100 nails for the door, and 200 nails for the steps. How many nails will he need in all?

3. Andy is creating a design using colored shapes. He is starting with a triangle and ending with another triangle. In between the triangles, he has a circle to the left of a square. What does the design look like?

4. Gary rakes leaves. The first day, he fills 6 bags. The second day, he fills 8 bags. The third day, he fills 10 bags of leaves. If this pattern continues, how many bags will he fill on the fourth day?

5. Sherri now has 25 pairs of earrings. Last week she was given 2 pairs for her birthday. Just yesterday, her older sister gave her 2 sets of earrings. How many sets of earrings did she have originally?

Skills PracticeProblem-Solving Investigation

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Use any strategy to solve.

1. Joe has 5 new notebooks for school. Two of those notebooks have 3 sections and three have 5 sections. Joe needs 20 sections in all.

Does he have enough?

2. Each class uses 1,000 sheets of paper every week. The school uses a total of 9,000 sheets of paper every week. How many classes are

in the school?

3. Write a problem that you can solve by looking for a pattern. Explain the pattern you used.

Multiply. (Lesson 7-4)

4. 55 × 5 = 10. 4 × 52 = 16. 9 × 22 =

5. 75 × 6 = 11. 63 × 7 = 17. 72 × 8 =

6. 8 × 47 = 12. 29 × 9 = 18. 33 × 5 =

7. 6 × 39 = 13. 32 × 5 = 19. 2 × 90 =

8. 2 × 98 = 14. 4 × 60 =

9. 84 × 6 = 15. 66 × 8 =

Solve.

20. There are 26 teams in the basketball league. Each team has 9 players on its roster. How many players are there all together?

7–5Homework PracticeProblem-Solving Investigation


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1 2 3 4

8 9 105 6 7 11

15 16 1712 13 14 18

22 23 2419 20 21 25

29 30 3126 27 28

OCTOBERS M T W T F S

Angie has to sell 72 calendars for her school fundraiser.

1. If Angie starts selling on Thursday, and she sells 9 calendars every day, on what day of the week will she sell all of the calendars?

2. What if Angie sells 12 calendars a day?

On Monday, Angie’s teacher announced that the fundraiser would last for a total of 4 weeks. If Angie sold at a rate of 9 calendars a day, how many would she sell by the end of the fundraiser? Use the worksheet to help you find the answer.

By Week 1

By Week 2

By Week 3

By Week 4

Enrich Weekly Sales

7–5


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Multiply by following steps.

Find 22 × 6.

Step 1

Think in terms of tens and ones.22 is 2 tens and 2 ones.

Tens

2

Ones

2

Step 2

Multiply the ones. Tens

2

Ones

2

6 1 22× 6

6× 2 12

Regroup 12 ones as 1 ten + 2 ones. Be sure to put the 1 in the tens column above the two.

Step 3

Multiply the tens. Tens

2

Ones

2

6 1 22× 6 132

6 × 2 tens = 12 tens. Add the regrouped ten.12 tens + 1 ten = 13 tens.Regroup 13 tens as 1 hundred and 3 tens.

Multiply.

1. Tens

3

Ones

1

7

→

2. Tens

3

Ones

5

6

→

7–6ReteachMultiply Multi–Digit Numbers


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Multiply.

1. 114 × 6 =

2. 261 × 4 =

3. 628 × 8 =

4. 739 × 5 =

5. 295 × 3 =

6. 375 × 5 =

7. 648 × 7 =

8. 1,525 × 6 =

9. 1,313 × 9 =

10. 4,512 × 5 =

11. 6,421 × 3 =

12. $1,225 × 9 =

ALGEBRA Find the value of each expression if t = 7.

13. t × 385 =

14. t × 7,441 =

15. t × 1,123 =

Compare. Use >, <, or =.

16. 396 × 4 5 × 423

17. 4 × 712 3 × 412

18. 3 × 656 7 × 366

19. 6 × 523 2 × 379

20. 2 × 961 8 × 612

Skills PracticeMultiply Multi–Digit Numbers

7–6


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Multiply.

1. 416 × 6 = 6. 5,216 × 6 =

2. 293 × 5 = 7. $3,591 × 3 =

3. 153 × 4 = 8. $4,325 × 9 =

4. 310 × 3 = 9. 2,135 × 2 =

5. 2,135 × 4 = 10. 5,112 × 4 =

ALGEBRA Find the value of each expression if n = 3.

11. n × 6,421 =

12. n × 1,913 =

Homework PracticeMultiply Multi–Digit Numbers

7–6

Solve.

13. There are 9 children in the scout troop. Each of them contributed 127 hours to community clean-up projects. What is the total number of hours the scout troop contributed?

14. Five people donated to the school library this year. Each person donated $225. How much money did the library get in donations this year?

Use any strategy to solve. (Lesson 7-5)

15. For the past 6 weeks, fourth-grade safety guards have worked after school and waited with first-grade students until their parents came for them. The first week they waited with 5 first-graders, the second week with 7, the third week with 9. If the pattern continued, how many first-graders did they wait with for the fourth, fifth, and sixth weeks?

16. Twenty babysitters in the babysitters club earned a total of $400 for the club each month. How much would 40 babysitters earn?


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Solve.

1. The first floor of an apartment building has space for 112 small apartments. The next 5 floors are the same. The first 6 floors of the apartment building have space for how many apartments?

2. Each year 6,578 people eat lunch in a certain restaurant. During a period of 5 years, how many people will eat in this restaurant?

3. The maximum number of people that can be on the top of a building at one time is 400. By 10 A.M. one morning there had already been 4 groups of 398 people to the top. How many people have been to the top of the building already?

4. In one greenhouse, there were 427 plants. If there were 5 greenhouses growing the same number of plants, how many plants would there be altogether?

5. A famous concert hall seats 9,551 people. Every seat was filled for the 9 concerts that took place in June. How many people heard a concert in this concert hall in June?

6. A taxi driver kept track of how many people were friendly to him in a day. Sixteen people told him what they were doing in the city, 8 asked him if he had a family, 23 told him what they liked best about the city, and 3 asked if they could buy him coffee. The taxi driver wanted his friends to believe that people are friendly, so he tripled his numbers. How many people did the taxi driver say were friendly to him?

Problem-Solving PracticeMultiply Multi-Digit Numbers

7–6

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Using only 1, 2, 3, and 6 to make three-digit numbers, find six even multiples of three. (You may not repeat these numerals in the samethree-digit number, so numbers like 222 are not allowed.)

Write the six even multiples of three in orderfrom least to greatest:

1.

2.

3.

4.

5.

6.

Use them, in that order, to complete these multiplication problems. Then solve the problems.

1. 2. 3.

× 5

× 6

× 9

4. 5. 6.

× 4

× 7

× 8

EnrichMore Multiples

7–6


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You can use the same steps to multiply numbers that contain zeros that you use to multiply any multidigit number.

Find 305 × 4.

Step 1

Think in terms of hundreds, tens, and ones.305 is 3 hundreds + 0 tens + 4 ones.

Step 2

Multiply the ones.

2 305

× 4 4 × 5 = 20 0

Regroup 20 ones as 2 tens + 0 ones. Be sure to put the 2 in the tens column above the 0.

Step 3

Multiply the tens.

2 305

× 4 20

4 × 0 tens = 0 tensAdd the regrouped 2 tens.0 tens + 2 tens = 2 tens

Step 4

Multiply the hundreds.

2 305

× 4 1220

4 × 3 hundreds = 1 thousand + 2 hundreds. 0 ones + 2 tens + 2 hundreds + 1 thousand = 1220

ReteachMultiply Across Zeros

→

→

↖

Multiply.

1. 402 × 8 =

2. 7,009 × 3 =

3. 5 × 301 =

4. 6 × 9,020 =

5. 2 × 1,099 =

6. 7 × 8,107 =

7. 806 × 9 =

8. 5,007 × 4 =

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1. 709 × 6 =

2. 450 × 3 =

3. 805 × 5

4. 6,058 × 8 =

5. 5,608 × 4 =

6. 5,079 × 8 =

7. 1,047 × 7 =

8. 2,009 × 2 =

9. 4,010 × 3 =

10. 7,028 × 4 =

11. 5,001 × 9 =

12. 7,084 × 9 =

13. 4,807 × 7 =

14. 3,009 × 4 =

15. 9,012 × 6 =

16. 7,040 × 8 =

17. 1,027 × 5 =

18. 5,405 × 5 =

19. 3,004 × 3 =

20. 4,303 × 2 =

21. 1,009 × 3 =

22. 9,300 × 1 =

23. 9,099 × 9 =

Skills PracticeMultiply Across Zeros

Solve.

24. Tamara has 5 tall trees in her back yard. Each tree is 108 feet tall.

How tall are all the trees put together?

25. Look back over the page and circle every product that has a 3 inthe tens place. Draw a box around every product that has

a 2 in the thousands place.

Multiply.

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Homework PracticeMultiply Across Zeros

Multiply.

For exercise 11, complete the table.

11. Multiply by 5,809.

Input 5 6 7 8 9

Output

Solve.

12. Jaime has 8 boxes of beads. Each box has 50 beads in it. How

many beads does she have in all?

Solve (Lesson 7-6)

13. 9,732 × 9 =

14. 2,581 × 2 =

15. There are 182 bulletin boards throughout the school. Each bulletin board is covered by 8 large pieces of colored paper. Every summer the colored paper is replaced. How many sheets of paper does it

take to cover the bulletin boards?

16. The school bulletin boards display at least 1,000 students’ papers. The bulletin boards are changed 9 times during the school year. At

least how many student papers are displayed over the year?

1. 460 × 6 =

2. 308 × 8 =

3. 6,404 × 3 =

4. 5,060 × 5 =

5. 7,032 × 4 =

6. 3,056 × 6 =

7. 7,501 × 4 =

8. 7,810 × 8 =

9. $2,058 × 3 =

10. $8,040 × 2 =

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Problem-Solving PracticeMultiply Across Zeros

Solve.

1. The school has 206 boxes of chalk. Each box has 8 pieces of chalk inside. How many pieces of chalk are there in all?

2. There are 401 windows in the school. Each window has 9 panes. When Mr. Parker washes each window pane by hand, how many panes does he wash?

3. The art teacher ordered 201 sets of markers for her students to use. Each set has 32 markers. How many markers did she order in all?

4. Each time the art class paints pictures, 108 brushes must be cleaned. If the art class paints pictures 9 times during the year, how many brushes will be cleaned?

5. Brent rode his bicycle 4 miles during the last day of August. His bicycle has an odometer that measures how far in miles and yards. Each mile has 1,760 yards. How many yards did Brent ride on the last day of August?

6. Cassandra ran 7 miles during the week. She wears a pedometer that measures how far she runs in miles and yards. Each mile has 1,760 yards. How many yards did Cassandra run in the week?

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EnrichMental Math Challenge

Choose factors from the box to make true multiplication equations.

3 810 5 608

402 6 2,003 9

7 4,005 4 906

306 2 5,002 8

1. × = 1,206

2. × = 1,530

3. × = 14,021

4. × = 3,240

5. × = 24,030

6. × = 1,836

7. × = 40,016

8. × = 5,472

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7

B D M Goal Progress

multiply multiples of 10 using basic facts and patterns

multiply multiples of 100 using basic facts and patterns

multiply multiples of 1,000 using basic facts and patterns

evaluate whether a solution to a problem is reasonable

estimate products by rounding

multiply a two-digit number by a one-digit number

choose the best strategy to solve a problem

multiply a three-digit number by a one-digit number

multiply multidigit numbers with zeros by a one-digit number

Notes

Individual Progress Checklist

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7Chapter Diagnostic Assessment

Read each question carefully. Write your answer on the line provided.

Multiply. Use models if needed.

1. 3 × 4 3. 4 × 5

2. 3 × $2 4. 6 × $4

$10

5. Mrs. Williams wants to buy 5 soccer balls for her class. How much will she spend?

Identify the place value of the underlined digit.

6. 1,576 8. 32,187

7. $7,432 9. 889

10. Lake Tahoe, in Tahoe City, California, is 1,645 feet deep. Identify the place value of each digit in 1,645.

Round each number to its greatest place value.

11. 37

12. 368

13. 3,487

14. $42,898

15. There are 10,187 people in Chen’s town. Approximately how many people live in his town?

1.

2.

3.

4.

5.

11.

12.

13.

14.

15.


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7Chapter Pretest


Multiply.

1. 7 × 900 = 5. 28 × 7 =

2. 5,000 × 4 = 6. $4,843 × 9 =

3. 3 × 20 = 7. 107 × 5 =

4. 37 × 3 = 8. 2 × 800 =

Decide whether each answer in reasonable.

9. Jill runs about 10 miles a week. Is it reasonable to assume she will run at least 500 miles in a year?

10. Larry’s father travels 1,200 miles on each business trip. He goes on business trips about once a month. Is it reasonable to assume he will travel 30,000 miles in a year?

11. Opie takes karate classes twice a week. The classes cost $105 per week. Is it reasonable to assume he will pay more than $1,200 for the karate classes in a month?

Estimate each product by rounding.

12. 8 × 990 =

13. $4,689 × 3 =

14. 792 × 5 =

Solve. Check for reasonableness.

15. The Lachica family’s electricity bill averages $103 per month. How much will they pay for electricity after6 months?

16. Gailynn visits her grandmother in Hawaii every summer. The flight time from Los Angeles, where Gailynn lives, to Honolulu is about 4 hours. How many minutes does Gailynn spend on an airplane each summer? (Remember, she flies there and back.)

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

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7Quiz 1 (Lessons 7-1 through 7-2)



1. 5 × 35 × 305 × 3005 × 3,000

2. 5 × 70 =

3. 20 × 4 =

4. n × 30 = 90

5. m × 4 = 240

6. 9 × 8,000 =

Find the value of each expression if k = 9.

7. 3,000 × k =

8. 200 × k =

9. Five friends want to go to a Broadway show. The tickets for the show they want to see are $40 each. How much money will the friends’ tickets cost?

10. Suppose that each member of a family of four makes 30 phone calls during a week. How many phone calls will they make all together?

Decide whether the answer is reasonable. Explain your reasoning.

11. A school lunch costs $3. Is it reasonable to assume that Harvey will spend more than $10 on lunch this week if he buys lunch every day?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.


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7

Estimate each product by rounding.

1. 6 × 375 =

2. 888 × 7 =

3. 7 × 2,221 =

4. 2 × 991 =

5. 4,326 × 4 =


6. 21 × 8 =

7. 5 × 38 =

8. 72 × 9 =

9. 69 × 2 =

10. 45 × 7 =

Solve.

11. The Wang family is planning a road trip across the country. If they drive 515 miles a day for 6 days, about how many miles will they drive in all?

12. The Mullen brothers take golf lessons that cost $785 per year. About how much will 5 years of golf lessons cost?

Quiz 2 (Lessons 7-3 through 7-4)

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Quiz 3 (Lessons 7-5 through 7-7)7


Multiply.

1. $177 × 9 =

2. 355 × 7 =

3. $644 × 8 =

4. 501 × 3 =

5. 7 × $5,003 =

6. 904 × 6 =

Find the value of each expression if n = 6.

7. n × 5,334 =

8. 662 × n =

Solve. Tell what strategy you used.

9. Kellie now has $45. Today she earned $21 babysitting, and she received $4 for her allowance. How much money did she have yesterday?

10. Mr. and Mrs. Kwan played miniature golf with their four children at the carnival. It cost $5 for adults and $3 for children to play. How much did they spend on miniature golf?

11. Gabriel planted seeds in his garden. He planted 3 seeds in the first row, 7 seeds in the second row, and 11 seeds in the third row. If the pattern continues, how many seeds will he plant in the seventh row?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.


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7Mid-Chapter Review (Lessons 7-1 through 7-4)


1. Multiply. Use mental math. 6 × 4 =

A. 12 B. 20 C. 21 D. 24

2. It costs the Gerardo family about $80 a day to eat while on vacation. If they are on vacation for 5 days, about how much will it cost them to eat?

F. $40 G. $250 H. $300 J. $400

3. Ben bikes at least 60 miles each month. How many miles is it reasonable to estimate that he will bike in 5 months?

A. 200 B. 300 C. 400 D. 700

Estimate the product.

4. 2 × 257

F. 200 G. 410 H. 514 J. 600

5. 7 × 2,566

A. 14,000 B. 17,962 C. 18,000 D. 21,000

6. Janie is putting her books away. She can fit 10 books on each shelf of her bookcase. There are 4 shelves. How many books will fit on the bookcase?

7. Juanita makes $10 an hour as a lifeguard at the recreation center. Last month she worked 90 hours. How much money did Juanita earn?


8. 33 × 2

9. $24 × 4

10. The sales tax in Betty’s town is 5 cents for each dollar that is spent on any item in any store. How much sales tax is charged for a computer program that costs $200?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

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Using the word bank below, complete each sentence by writing the correct word or words in the blank.

additiondivisionestimatemultiplicationproductsubtractionwhole numbers

1. The term means to split a number into equal parts.

2. is an operation on two numbers to find their product. It can be thought of as repeated addition.

3. An operation on two or more addends that is equal to a sum is .

4. An is a number close to an exact value; it indicates about how much.

5. is an operation on two numbers that tells the difference, when some or all are taken away.

6. A is the answer to a multiplication problem. It also refers to expressing a number as a product of its factors.

7. The numbers 0, 1, 2, 3, 4 are .

Vocabulary Test7


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Read each question aloud to the student. Then write the student’s answers on the lines below the question.

Arrange 4 groups of 3 base-ten blocks and 2 ones.

1. How many groups do we have? How many objects are in each group?

2. Use the blocks to show the product of 2 × 32.

3. Tell how you got your answer.

4. Use the blocks to show the product of 4 × 32.


6. What is the product of 2 × 4? 2 × 40? 2 × 400?

7. Describe the pattern you see in Exercise 6.

Oral Assessment7

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8. Elena is cleaning her room. She can fit 25 books on each shelf of her bookcase. There are 6 shelves. How many books will fit on the bookcase?

9. How many books would fit on the bookcase if there were 5 shelves?


11. If she could fit 20 books on a shelf and there were 4 shelves, how many books could she fit?


13. If she could fit 30 books on a shelf and there were 4 shelves, how many books could she fit?


7Oral Assessment (continued)


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Score Explanation

3 Student successfully completed the chapter project.Student demonstrated appropriate use of chapter information in completing the chapter project.

2 Student completed the chapter project with partial success.Student partially demonstrated appropriate use of chapter information in completing the chapter project.

1 Student did not complete the chapter project or completed it with little success.Student demonstrated very little appropriate use of chapter information in completing the chapter project.

0 Student did not complete the chapter project.Student demonstrated inappropriate use of chapter information in completing the chapter project.

Chapter Project Rubric 7


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Multiply by One-Digit Numbers

Four-Door Book Foldables

Score Explanation

3 Student properly assembled Foldables graphic organizer according to instructions.Student recorded information related to the chapter in the manner directed by the Foldables graphic organizer.Student used the Foldables graphic organizer as a study guide and organizational tool.

2 Student exhibited partial understanding of proper Foldables graphic organizer assembly.Student recorded most but not all information related to the chapter in the manner directed by the Foldables graphic organizer.Student demonstrated partial use of the Foldables graphic organizer as a study guide and organizational tool.

1 Student showed little understanding of proper Foldables graphic organizer assembly.Student recorded only some information related to the chapter in the manner directed by the Foldables graphic organizer.Student demonstrated little use of the Foldables graphic organizer as a study guide and organizational tool.

0 Student did not assemble Foldables graphic organizer according to instructions.Student recorded little or no information related to the chapter in the manner directed by the Foldables graphic organizer.Student did not use the Foldables graphic organizer as a study guide and organizational tool.

Foldables Rubric7


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7Chapter Test, Form 1


1. 5 × 30, 5 × 300, and 5 × 3,000

A. 15, 150, 1,500 B. 25, 1,500, 30,000 C. 150, 1,500, 15,000 D. 250, 2,500, 25,000

2. 2 × 4,000

F. 800 G. 8,000 H. 12,000 J. 42,000

3. Four friends are going to a concert. The tickets are $20 per person. What is the total cost of the tickets?

A. $80 B. $100 C. $405 D. $800

4. Mr. Johnson goes for a 30-minute walk every day. How many minutes does he walk in 7 days?

F. 200 minutes G. 210 minutes H. 310 minutes J. 2,000 minutes

5. 500 × 6

A. 300 B. 3,000 C. 30,000 D. 300,000

6. 5 × 3,000

F. 1,500 G. 15,000 H. 150,000 J. 1,500,000

7. 440 × 2

A. 88 B. 880 C. 8,800 D. 88,000

8. 1,600 × 4

F. 6 G. 640 H. 6,400 J. 60,000

9. Estimate the product. 3 × 241

A. 600 B. 700 C. 723 D. 850


F. 108 G. 270 H. 1,072 J. 1,200

11. Mrs. Black teaches 6 classes. Each class has 29 students. About how many students does Mrs. Black have all together?

A. 180 B. 174 C. 120 D. 100

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4.

5.

6.

7.

8.

9.

10.

11.

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12. Jessica is packing her books into boxes. If she has 100 books and can fit 10 books into one box, how many boxes will she need to pack all of her books?

F. 5 G. 10 H. 20 J. 50

13. Multiply with regrouping. Choose the most reasonable answer.23 × 6

A. 110 B. 138 C. 150 D. 300


F. 240 G. 280 H. 288 J. 300

15. Multiply the ones, tens, and hundreds. Which choice correctly shows this process? 239 × 7

A. 7 × 239 B. 9 × 7, 9 × 39, 9 × 2 C. 7 × 9 ones, 7 × 3 tens, 7 × 2 hundreds D. 2 × 7, 3 × 7, 9 × 7

16. The circus sold 300 tickets on Monday. If each ticket cost $8, how much did the circus make?

F. $900 G. $1,200 H. $1,800 J. $2,400

17. Multiply. Check for reasonableness. 204 × 3

A. 408 B. 612 C. 2,000 D. 2,652

18. Find the value of this expression if k = 7.372 × k

F. 379 G. 2,604 H. 2,772 J. 2,802

12.

13.

14.

15.

16.

17.

18.

Chapter Test, Form 1 (continued)7


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Chapter Test, Form 2A7


1. 6 × 40, 6 × 400, and 6 × 4,000

A. 250, 2,500, 25,000 B. 240, 2,400, 24,000 C. 24, 140, 1,400 D. 24, 400, 34,000

2. 2 × 8,000 =

F. 16,000 G. 12,000 H. 1,600 J. 800

3. Three friends are going to a concert. The tickets are $20 per person. What is the total cost of the tickets?

A. $600 B. $120 C. $60 D. $40

4. Sally goes for a 40-minute walk every day. How many minutes does she walk in 5 days?

F. 200 minutes G. 210 minutes H. 310 minutes J. 2,000 minutes

5. 700 × 6 =

A. 300 B. 1,300 C. 4,200 D. 42,000

6. 4 × 2,000 =

F. 8,000 G. 15,000 H. 80,000 J. 8,500,000


A. 1,500 B. 1,200 C. 1,000 D. 723

8. Estimate the product.2 × 266

F. 600 G. 400 H. 270 J. 108

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Chapter Test, Form 2A (continued)7

9.

10.

11.

12.

13.

14.

15.

16.


A. 240 B. 232 C. 120 D. 100

10. Jessica is packing her books into boxes. If she has 5 boxes, and puts 10 books into one box, how many books does she have?

F. 50 G. 15 H. 10 J. 5

11. Multiply with regrouping.27 × 6

A. 150 B. 162 C. 180 D. 300


F. 240 G. 280 H. 288 J. 300

13. Multiply the ones, tens, and hundreds. Which choice correctly shows this process? 139 × 7

A. 7 × 239 B. 9 × 7, 7 × 39, 7 × 139 C. 7 × 9 ones, 7 × 3 tens, 7 × 1 hundred D. 2 × 7, 3 × 7, 9 × 7

14. The circus sold 409 tickets on Monday. If each ticket cost $9, how much did the circus make?

F. $4,090 G. $3,681 H. $1,318 J. $1,100

15. Multiply. Check for reasonableness.204 × 3

A. 408 B. 612 C. 2,000 D. 2,652

16. Find the value of this expression if k = 7.372 × k

F. 2,800 G. 2,772 H. 2,604 J. 379


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7Chapter Test, Form 2B


1. 6 × 40

A. 250 B. 240 C. 24

2. 6 × 400

F. 2,400 G. 2, 500 H. 240

3. 6 × 4,000

A. 21,000 B. 24,000 C. 240,000

4. Three friends are going to a concert. The tickets are $20 each. What is the total cost of the tickets?

F. $600 G. $60 H. $40

5. 700 × 6

A. 300 B. 4,200 C. 42,000

6. 4 × 2,000

F. 8,000 G. 15,000 H. 80,000

7. Multiply with regrouping. 27 × 6

A. 180 B. 162 C. 150


F. 1,000 G. 1,155 H. 1,200


A. 600 B. 400 C. 108


F. 240 G. 232 H. 120

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.


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7Chapter Test, Form 2B (continued)

11. Jessica is packing her books into boxes. If she has 50 books, and can fit 10 books into one box, how many boxes will she need to pack all of her books?

A. 50 B. 20 C. 5


F. 280 G. 288 H. 300

13. Multiply the ones, tens, and hundreds. Which choice shows this? 139 × 7

A. 7 × 239

B. 9 × 7, 7 × 39, 7 × 139

C. 7 × 9 ones, 7 × 3 tens, 7 × 1 hundred


F. 200 minutes G. 210 minutes H. 2,000 minutes


A. 720 B. 7,200 C. 7,440

16. There are band members going to a parade. They are going in 8 vans that seat 12 people. If all the vans are full, how many band members are going?

F. 72 members G. 96 members H. 116 members

11.

12.

13.

14.

15.

16.

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Chapter Test, Form 2C7


1. Three friends are going to a concert. The tickets are $30 per person. What is the total cost of the tickets?



4. Estimate the product.2 × 266


6. 700 × 5

7. 3 × 2,000

8. 603 × 6

9. 216 × 2

10. Jessica is packing her books into boxes. If she has 5 boxes, and can fit 10 books into one box, how many books does she pack?

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.


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Chapter Test, Form 2C (continued)7

11. Multiply with regrouping. 27 × 6

12. There are band members going to a parade. They are going in 9 vans that seat 8 passengers each. How many band members are going?

13. Estimate the product by rounding. 51 × 6

14. Multiply the ones, tens, and hundreds. Show the steps.7 × 139

15. Solve when n = 6.400 × n


17. Solve 6 × 40, 6 × 400 and 6 × 4,000.

18. 2 × 8,000

11.

12.

13.

14.

15.

16.

17.

18.


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7Chapter Test, Form 2D


1. Three friends are going to a concert. The tickets are $30 each. What is the total cost of the tickets?


3. Estimate the answer by rounding.5 × 231

4. Estimate the answer by rounding.2 × 266

5. Mrs. Black teaches 7 classes. Each class has 29 students. About how many students does Mrs. Black have altogether?

6. 700 × 5

7. 3 × 2,000

8. Jessica is packing her books into boxes. If she has 5 boxes, and can fit 10 books into one box, how many books does she have?

1.

2.

3.

4.

5.

6.

7.

8.


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9. Multiply with regrouping. What is the best estimate?27 × 6

10. There are band members in 9 vans going to a parade. Eight people can fit in one van. How many band members are going?

11. Estimate the answer by rounding. 51 × 6

12. Multiply the ones, tens, and hundreds. Show each step.7 × 139

13. The circus sold 400 tickets on Monday. If each ticket cost $9, how much money did the circus make?

14. Solve for x.300x = 2,400

15. Solve 6 × 40, 6 × 400 and 6 × 4,000.

16. 2 × 8,000

7Chapter Test, Form 2D (continued)

9.

10.

11.

12.

13.

14.

15.

16.


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1. Five friends are going to a concert. The tickets are $32.50 per person. To the nearest ten dollars, what is the approximate cost of the tickets?

2. Sally walks 210 minutes in 6 days. How many minutes does she walk in 12 days?


4. Estimate the product by rounding.2 × 246

5. Mrs. Black teaches a total of 210 students. If each student has 3 pencils, about how many pencils do the students have?

6. 700 × 5

7. 3 × 2,000

8. Jessica needs 5 boxes to pack her books. If she can fit 10 books into one box, how many books does she have?

7Chapter Test, Form 3

1.

2.

3.

4.

5.

6.

7.

8.


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9. Multiply with regrouping.27 × 6

10. There are band members going to a parade. They are going in 9 vans that seat 8 passengers. How many band members are going?


12. Multiply the ones, tens, and hundreds. Show this process.7 × 139

13. The circus sold 400 tickets on Monday. If each ticket cost $9, how much money did the circus make?

14. Solve when t = 8.3,000 × t

15. Solve 6 × 40, 6 × 400 and 6 × 4,000.

16. 2 × 8,000

7Chapter Test, Form 3 (continued)

9.

10.

11.

12.

13.

14.

15.

16.


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Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solution in more than one way or investigate beyond the requirements of the problem. If necessary, record your answer on another piece of paper.

1. What basic facts and patterns can you use to find 4 × 9,000? Show your work.

2. Evaluate the reasonableness of the solution in the context of this problem:

Mary donated 2 cases of crayons to a childcare center. Each case has 20 packs of crayons. The childcare center has 30 children. Mary says she donated more than enough packs of crayons in order for each child to have their own pack. Is this claim reasonable?

3. Write a real-world multiplication problem that involves the multiplication sentence 10 × 4. Solve the problem.

4. Identify the multiplication problem that does not belong with the other three. Explain.

201 × 4 = 804

262 × 5 = 1,310

765 × 2 = 1,530

923 × 8 = 7,384

Chapter Extended-Response Test7


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7Student Recording Sheet

Use this recording sheet with pages 294–295 of the Student Edition.Read each question. Then fill in the correct answer.

1. A B C D

2. F G H J

3. A B C D

4. F G H J

5. A B C D

6. F G H J

7. A B C D

8. F G H J

9. A B C D

10. F G H J


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Test Example

How many paperclips are in 7 boxes of 500?

A. 7,500 paperclips B. 7,000 paperclips C. 5,000 paperclips D. 3,500 paperclips

Read the QuestionYou need to know the number of paperclips in 7 boxes.

Solve the QuestionLook for the basic fact in the problem. Solve it.The basic fact is 7 × 5. The answer is 35.

Then count the number of zeros in the factor.There are 2 zeros in the factor 500.

Add 2 zeros to 35.So, 7 × 500 = 3,500.

The answer is D.


1. Irene has 10 bags of carrots. Each bag has 30 carrots. How many carrots does she have?

A. 300 carrots B. 3,000 carrots C. 3,100 carrots D. 30,000 carrots

2. A jumbo jet can travel 483 miles per hour. About how many miles will it travel in 5 hours?

F. 2,500 miles G. 2,000 miles H. 1,000 miles J. 500 miles

3. Cristina needs to purchase 4 tickets to a play. Each ticket costs $23. How much will 4 tickets cost?

A. $46 B. $80 C. $92 D. $100

1.

2.

3.

7Cumulative Standardized Test Practice


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4. The bakery has 12 display shelves. Each shelf can hold 12 desserts. How many desserts can the bakery display at one time?

F. 104 G. 144 H. 244 J. 404

5. The hotel that the Nguyen family is staying in costs $80 a day. Their vacation is 6 days long. How much is the total cost of the hotel?

A. $480 B. $500 C. $520 D. $4,800

6. Find n if 17 + n = 34

F. 7 G. 17 H. 19 J. 27

7. What is the value of y?(9 + 6) × (2 × 3) = y

A. 20 B. 90 C. 120 D. 260

8. This frequency table shows the number of dogs groomed by Ernesto’s dog grooming business in one month.

WeekNumber of Dogs

Groomed1 102 203 254 20

Which week did Ernesto groom more than 20 dogs?

F. Week 1 G. Week 2 H. Week 3 J. Week 4

4.

5.

6.

7.

8.

7Cumulative Standardized Test Practice (continued)


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9. The table shows how many miles an airplane traveled over 4 weeks.

Week Number of Miles

1 6232 5133 7834 723

About how many total miles did the airplane travel over 4 weeks?

A. 2,000 B. 2,600 C. 2,800 D. 2,900

10. Find 3,200 - 2,121

F. 979 G. 1,079 H. 1,180 J. 1,181

11. Multiply 8 × 8,000 using mental math.

12. Find the value of the expression n × 30 if n = 7.

13. Estimate the product of 2 × 290.

14. Multiply 46 × 3 using partial products.

15. Multiply $3,291 × 4 using the standard method.

7Cumulative Standardized Test Practice (continued)

9.

10.

11.

12.

13.

14.

15.


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Grade 4 A1 Chapter 7

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Answers (Graphic Organizer and Anticipation Guide)

Chapter Resources

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Answers (Lesson 7-1)


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cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

10

C

hapt

er 7

4NS3

.0, 4

MR2

.2

Mu

ltip

ly. U

se b

asic

fac

ts a

nd

pat

tern

s.

1.

4 ×

1 =

4

2.

6 ×

7 =

42

4

× 1

0 =

40

6

× 7

0 =

42

0

4 ×

100

=

400

6

× 7

00 =

4,

200

4

× 1

,000

= 4,

000

6

× 7

,000

= 4

2,00

0M

ult

iply

. Use

men

tal

mat

h.

3.

2 ×

70

=

140

4.

9 ×

500

= 4,

500

5.

7 ×

4,0

00 =

28,

000

ALG

EBR

A F

ind

th

e va

lue

of e

ach

var

iab

le.

6.

30 ×

n =

120

4

7.

6 ×

n =

3,6

00

600

ALG

EBR

A F

ind

th

e va

lue

of e

ach

exp

ress

ion

if

k =

2.

8.

20 ×

k =

40

9.

k×

500

= 1

,000

10.

Joe

boug

ht a

hou

se. H

is p

aym

ents

are

$1,

000

a m

onth

. How

muc

h

will

he

pay

for

5 m

onth

s? $

5,00

0

Tell

wh

eth

er e

ach

eq

uat

ion

is

bal

ance

d. E

xpla

in. (

Less

on 6

–7)

11.

48 ÷

8 =

(4

× 3

) ÷

2Y

es. B

oth

sid

es e

qu

al 6

. 12

. 6

× 5

× 2

= 2

× 7

× 3

No.

On

e si

de

equ

als

60, t

he

oth

ersi

de

equ

als

42.

13.

3 ×

9 ×

2 =

6 ×

3 ×

3

Y

es. B

oth

sid

es e

qu

al 5

4.Co

mp

lete

eac

h e

qu

atio

n t

o m

ake

it b

alan

ced

.

14.

(16

- 4

) ×

2

= 3

× 8

15

. 3

× (

10 -

3)

= 3

× 7

7–1

Hom

ewor

k Pr

acti

ceM

ultip

les

of 1

0, 1

00, a

nd 1

,000

008_

012_

C07

_L01

_105

841.

indd

Pag

e 10

5/7

/10

10:

11:0

4 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

11

C

hapt

er 7

Solv

e.

1.

Ther

e w

ere

20 p

irate

s on

a s

hip.

Eac

h on

e ha

d 1

eye

patc

h.H

ow m

any

eye

patc

hes

wer

e on

the

shi

p in

all?

20 e

ye p

atch

es 2

. Th

e pi

rate

s ha

d 6

trea

sure

che

sts

with

gol

d co

ins.

Eac

h ch

est

had

9,00

0 go

ld c

oins

. How

man

y go

ld c

oins

did

the

pira

tes

have

in a

ll?

54,0

00 g

old

coi

ns

3.

The

pira

tes

trav

eled

50

mile

s ev

ery

day.

The

y ha

ve b

een

at s

ea f

or

8 da

ys. H

ow m

any

mile

s ha

ve t

hey

trav

eled

alto

geth

er?

400

mil

es 4

. O

ne d

ay t

he p

irate

s si

ghte

d 2

wha

les

ever

y ho

ur f

or 1

0 ho

urs.

H

ow m

any

tota

l wha

les

wer

e si

ghte

d?

20 w

hal

es 5

. O

ver

the

8 da

ys t

hat

they

hav

e be

en a

t se

a, t

he p

irate

s at

e 20

fis

h ea

ch d

ay. H

ow m

any

fish

wer

e ea

ten

in a

ll?

160

fish

6.

The

pira

tes

plan

to

expl

ore

3 is

land

s w

hich

will

req

uire

wal

king

20

mile

s pe

r da

y. H

ow m

any

mile

s w

ill t

hey

have

wal

ked

if it

take

s 4

days

to

expl

ore

all 3

isla

nds?

80 m

iles

7.

Four

of

the

pira

tes

have

bee

n aw

ay a

t se

a fo

r 20

0 da

ys. H

ow

man

y da

ys t

otal

hav

e th

ese

four

pira

tes

been

aw

ay a

t se

a?

800

day

s

Prob

lem

-Sol

ving

Pra

ctic

eM

ultip

les

of 1

0, 1

00, a

nd 1

,000

7–1

4NS3

.0, 4

MR3

.2

008_

012_

C07_

L01_

1058

41.in

dd P

age

11 5

/8/1

0 5

:52:

39 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

12

C

hapt

er 7

The

nu

mb

ers

in t

hes

e p

atte

rns

are

mu

ltip

les

of 1

0. C

onti

nu

e ea

ch

pat

tern

an

d w

rite

th

e ru

le.

1.

200,

2,

000,

20

,000

, 20

0,00

0,

2,00

0,00

0

The

rul

e is

: Mu

ltip

ly b

y 10

2.

10,

50,

250,

1,

250,

6,

250

T

he r

ule

is:

Mu

ltip

ly b

y 5

3.

9,60

0,

4,80

0,

2,40

0,

1,20

0,

600

T

he r

ule

is:

Div

ide

by

2

4.

30,

60,

120,

24

0,

480

T

he r

ule

is:

Mu

ltip

ly b

y 2

5.

3,40

0,00

0,00

0,

34,0

00,0

00,

340,

000,

34

00,

34

T

he r

ule

is: D

ivid

e b

y 10

0

Solv

e th

ese

pro

ble

ms.

Use

th

e an

swer

s to

th

e fi

ll i

n t

he

bla

nks

so

that

th

e p

arag

rap

h m

akes

sen

se.

3

× 1

=

3

3 ×

10

=

30

3 ×

100

= 30

0Ab

out

126

kind

s of

fis

h an

d 34

6 ki

nds

of m

amm

als

are

on t

he

enda

nger

ed s

peci

es li

st. T

he m

ount

ain

goril

la, o

ne o

f 3

kin

ds o

f go

rilla

s th

at li

ve in

Afr

ica,

is e

ndan

gere

d. F

ewer

tha

n 64

0 m

ount

ain

goril

las

exis

t in

the

wild

. The

y liv

e in

gro

ups

and

eat

mos

tly p

lant

s. T

he

aver

age

mal

e w

eigh

s m

ore

than

300

pou

nds

and

lives

bet

wee

n 30

and

50

year

s.

7–1

Enri

chEx

TEN

ding

Pat

tern

s

4NS3

.0, 4

MR3

.3

008_

012_

C07_

L01_

1058

41.in

dd P

age

12 5

/8/1

0 5

:52:

40 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

13

C

hapt

er 7

4MR3

.1, 4

NS3

.0

Jeff

wan

ts t

o in

vite

som

e fr

iend

s ov

er f

or d

inne

r. H

e ha

s a

larg

e re

ctan

gula

r ta

ble

and

know

s th

ere

is r

oom

to

seat

10

peop

le o

n ea

ch

of t

he lo

ng s

ides

and

4 o

n th

e tw

o en

ds o

f hi

s ta

ble.

If Je

ff w

ants

eve

ryon

e se

ated

at

the

tabl

e, h

ow m

any

frie

nds

can

he

invi

te?

Is it

rea

sona

ble

for

him

to

invi

te 4

0 pe

ople

?

Step

1:

Un

der

stan

d. W

hat

fac

ts d

o yo

u k

now

?Je

ff ca

n se

at 1

0 pe

ople

on

each

of

the

long

sid

es o

f hi

s ta

ble.

Jeff

can

seat

4 p

eopl

e on

eac

h of

the

end

s of

his

tab

le.

Jeff

wan

ts e

very

one

seat

ed a

t th

e ta

ble.

Step

2:

Pla

n. W

hat

you

nee

d t

o kn

ow?

How

man

y fr

iend

s is

it r

easo

nabl

e fo

r Je

ff to

invi

te?

Step

3:

Solv

e. W

hat

mat

h d

o yo

u n

eed

to

do?

You

need

to

figur

e ou

t th

e nu

mbe

r of

peo

ple

that

can

sit

at t

he t

able

, ba

sed

on a

ll of

the

am

ount

s th

at y

ou h

ave.

2 lo

ng s

ides

, 10

peop

le e

ach:

10

× 2

= 2

0 2

ends

, 4 p

eopl

e ea

ch: 4

× 2

= 8

Add

the

amou

nts:

20

+ 8

= 2

8 pe

ople

can

sit

at t

he t

able

.

Step

4:

Chec

k. S

ee i

f yo

ur

answ

er m

akes

sen

se.

Whe

n yo

u co

mpa

re th

e am

ount

that

can

sit

at th

e ta

ble,

28,

to th

e am

ount

of p

eopl

e th

at J

eff w

ants

to in

vite

, 40,

you

can

see

that

it is

not

re

ason

able

for

him

to in

vite

40

gues

ts. I

f Jef

f onl

y ha

s se

ats

for

28, h

ow

man

y fri

ends

sho

uld

he in

vite

? (R

emem

ber,

Jeff

need

s a

seat

too!

)

Use

th

e st

eps

abov

e to

sol

ve t

he

foll

owin

g p

rob

lem

.B

ritta

ny w

as g

iven

3 m

ovie

s to

wat

ch in

her

free

tim

e. E

ach

mov

ie is

10

0 m

inut

es lo

ng. B

ritta

ny h

as 7

0 m

inut

es t

o re

lax

befo

re s

he g

oes

to w

ork

ever

y da

y, M

onda

y th

roug

h Fr

iday

. Is

it re

ason

able

for

her

to

expe

ct t

o w

atch

all

thre

e m

ovie

s, s

tart

ing

Mon

day

and

endi

ng o

n Fr

iday

?

Rete

ach

Prob

lem

–Sol

ving

Ski

ll: R

easo

nabl

e A

nsw

ers

7–2

013_

017_

C07

_L02

_105

841.

indd

Pag

e 13

5/7

/10

11:

01:4

6 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Answers (Lessons 7-1 and 7-2)


P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

14

C

hapt

er 7

4MR3

.1, 4

NS3

.0

Step

1:

Un

der

stan

d. W

hat

fac

ts d

o yo

u k

now

?B

ritt

any

has

70

min

ute

s to

rel

ax f

or 5

day

s.B

ritt

any

has

3 m

ovie

s to

wat

ch.

Each

mov

ie i

s 10

0 m

inu

tes

lon

g.St

ep 2

: P

lan

. Wh

at y

ou n

eed

to

know

?

Is it

rea

sona

ble

for

Bri

ttan

y to

exp

ect

to w

atch

all

thre

e m

ovie

s in

fiv

e da

ys?

Step

3:

Solv

e. W

hat

mat

h d

o yo

u n

eed

to

do?

Fin

d o

ut

Bri

ttan

y’s

tota

l m

inu

tes

of

free

tim

e b

y m

ult

iply

ing

70 ×

5 =

35

0 m

inu

tes

Figu

re o

ut t

he t

otal

min

utes

it w

ill t

ake

to w

atch

all

thre

e m

ovie

s.

100

× 3

= 3

00 m

inu

tes

Step

4:

Chec

k. S

ee i

f yo

ur

answ

er m

akes

sen

se.

Com

par

e. T

he

300

min

ute

s th

at i

t w

ill t

ake

tow

atch

th

e m

ovie

s is

les

s th

an B

ritt

any’

s to

tal

free

tim

e, s

o ye

s, h

er p

lan

is

reas

onab

le.

Dec

ide

wh

eth

er e

ach

an

swer

is

reas

onab

le. E

xpla

in y

our

reas

onin

g.

1.

Sand

y ow

ns h

er o

wn

pizz

a re

stau

rant

. Her

pro

fit is

abo

ut $

2,00

0 a

wee

k. S

he n

eeds

to

put

asid

e $4

00 a

wee

k fo

r ta

xes.

Is it

r

easo

nabl

e fo

r he

r to

spe

nd $

1,90

0 a

wee

k? n

o, $

1,60

0 2

. Sa

ndy

wor

ks 5

day

s a

wee

k. H

er t

otal

num

ber

of h

ours

eac

h w

eek

is 5

0. Is

it r

easo

nabl

e to

say

tha

t Sa

ndy

wor

ks 7

hou

rs a

day

?

n

o, 1

0Rete

ach

(con

tinue

d)

Prob

lem

–Sol

ving

Ski

ll: R

easo

nabl

e A

nsw

ers

7–2

013_

017_

C07

_L02

_105

841.

indd

Pag

e 14

5/7

/10

11:

01:5

5 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

15

C

hapt

er 7

4MR3

.1, 4

NS3

.0

Dec

ide

whe

ther

eac

h an

swer

is r

easo

nabl

e. E

xpla

in y

our

reas

onin

g.

1.

Jill i

s in

cha

rge

of t

he s

choo

l fai

r th

at w

ill g

o on

for

a w

eek.

Th

ere

will

be

10 d

iffer

ent

volu

ntee

rs h

elpi

ng e

ach

day.

Is 7

0 a

reas

onab

le e

stim

ate

of t

he n

umbe

r of

peo

ple

who

are

exp

ecte

d to

vol

unte

er? ye

s; 1

0 ×

7 =

70

2.

Jill w

ill h

ave

to w

alk

hom

e fro

m th

e fa

ir ea

ch d

ay fo

r th

e w

eek.

The

fa

ir is

1 m

ile fr

om h

er h

ome.

Is it

rea

sona

ble

to s

ay th

at s

he w

ill w

alk

mor

e th

an 1

0 m

iles

befo

re th

e w

eek

is o

ver?

no,

7 m

iles

3.

Jill e

xpec

ts t

hat

the

sale

of

dona

ted

soda

will

brin

g in

abo

ut $

50

a da

y fo

r th

e w

eek.

Is it

rea

sona

ble

for

her

to e

xpec

t at

leas

t $5

00

from

sod

a sa

les

by t

he e

nd o

f th

e w

eek?

no,

$35

0 4

. Jil

l was

abl

e to

col

lect

don

atio

ns o

f ab

out

$60

a m

onth

for

the

10

mon

ths

that

she

was

pla

nnin

g th

e fa

ir. S

he s

aved

all

of t

he

mon

ey. I

n ad

ditio

n, s

he w

as g

iven

$35

0 th

at h

ad b

een

put

asid

e fr

om t

he p

revi

ous

fair.

She

nee

ds $

1,00

0 to

ren

t a

ferr

is w

heel

. Is

it r

easo

nabl

e to

say

tha

t sh

e ca

n pa

y fo

r th

e fe

rris

whe

el r

enta

l in

full?

no,

sh

e on

ly h

as $

950

Typ

es o

f P

rize

sN

um

ber

Col

lect

ed

stuf

fed

anim

als

98

plas

tic m

odel

s54

yo-y

os96

stop

wat

ches

49

5.

The

tabl

e ab

ove

show

s th

e nu

mbe

rs o

f di

ffere

nt p

rizes

Jill

co

llect

ed f

or t

he f

air.

Is it

rea

sona

ble

for

her

to s

ay t

hat

she

has

clos

e to

300

priz

es t

o gi

ve t

o th

ose

who

win

gam

es?

yes,

297

pri

zes

is c

lose

to

300

pri

zes

6.

Jill h

as s

pent

a t

otal

of

6,00

0 m

inut

es o

rgan

izin

g th

e fa

ir. Is

it

reas

onab

le f

or h

er t

o cl

aim

tha

t sh

e or

gani

zed

the

fair

in u

nder

1

0 ho

urs?

no,

it

has

tak

en h

er 1

00 h

ours

Skill

s Pr

acti

cePr

oble

m–S

olvi

ng S

kill:

Rea

sona

ble

Ans

wer

s

7–2

013_

017_

C07

_L02

_105

841.

indd

Pag

e 15

5/7

/10

10:

13:0

3 A

M e

lhi-4

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umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

16

C

hapt

er 7

4MR3

.1, 4

NS3

.0

Dec

ide

whe

ther

eac

h an

swer

is r

easo

nabl

e. E

xpla

in y

our

reas

onin

g.

1.

Sam

tra

vels

fro

m B

altim

ore

to B

osto

n ea

ch y

ear.

It ta

kes

him

10

hou

rs t

o ge

t to

Bos

ton.

He

stop

s 3

times

, for

an

hour

eac

h tim

e. If

he

only

sto

pped

onc

e, is

it r

easo

nabl

e to

say

tha

t he

cou

ld

get

ther

e in

6 h

ours

? no

, it

wou

ld t

ake

8 ho

urs

2.

The

tabl

e be

low

sho

ws

Sam

’s e

xpen

ses

for

his

trip

to

Bos

ton.

Was

it

reas

onab

le f

or S

am t

o sa

y th

at t

he t

rip c

ost

him

clo

se t

o $4

00?

yes,

$39

1 Exp

ense

sA

mou

nt

Spen

t

Food

$103

Gas

$252

Tolls

$36

3.

Writ

e a

prob

lem

tha

t w

ould

hav

e $1

,000

as

a re

ason

able

ans

wer

.

You

get

pai

d $

100

a m

onth

for

a y

ear.

You

spen

d $

200

on c

loth

es a

nd

sav

e th

e re

st. I

s it

reas

onab

le t

o sa

y th

at y

ou h

ave

$1,0

00 s

aved

?

Mul

tipl

y. U

se m

enta

l mat

h. (

Less

on 7

–1)

4.

2 ×

4,0

00 =

8,

000

5.

3 ×

80

=

240

6.

9 ×

600

= 5,

400

7.

4 ×

5,0

00 =

20,

000

8.

5 ×

50

=

250

9.

6 ×

900

= 5,

400

10.

6 ×

200

= 1,

200

11

. 8

× 1

,000

= 8,

000

12.

9 ×

30

=

270

13

. 5

× 7

0 =

35

0A

LGEB

RA

Fin

d t

he

valu

e of

eac

h v

aria

ble

.

14.

n ×

20

= 6

0 n

= 3

15.

t ×

8 =

56,

000

t =

7,0

00

Hom

ewor

k Pr

acti

cePr

oble

m–S

olvi

ng S

kill:

Rea

sona

ble

Ans

wer

s

7–2

013_

017_

C07

_L02

_105

841.

indd

Pag

e 16

5/7

/10

11:

03:5

0 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

17

C

hapt

er 7

4MR3

.1, 4

NS3

.0

12

34

89

105

67

11

1516

1712

1314

18

2223

2419

2021

25

2930

3126

2728

OC

TO

BE

RS

MT

WT

FS

Toda

y is

Tue

sday

and

Sco

tt h

as a

boo

k re

port

due

a w

eek

from

nex

t Fr

iday

. His

fav

orite

sto

ries

are

scie

nce

fictio

n.

1.

If Sc

ott

star

ts r

eadi

ng a

72-

page

boo

k on

Tue

sday

, and

he

read

s 9

page

s ev

ery

day,

on

wha

t da

y of

the

wee

k w

ill h

e fin

ish

read

ing

the

book

?

on t

he

eigh

th d

ay, w

hic

h i

s th

e fo

llow

ing

Tues

day

2.

Wha

t if

Scot

t re

ads

10 p

ages

a d

ay?

He

wil

l st

ill

fin

ish

th

e b

ook

on t

he

foll

owin

gTu

esd

ay, b

ut

he’

ll r

ead

on

ly 2

pag

es t

hat

day

. 3

. O

n Th

ursd

ay, O

ctob

er 2

, Sco

tt’s

tea

cher

ann

ounc

ed t

hat

thre

e bo

ok r

epor

ts w

ere

due

by t

he e

nd o

f th

e m

onth

– o

n ea

ch o

f th

e da

tes

that

is a

mul

tiple

of

ten.

On

wha

t da

ys a

nd d

ates

are

the

bo

ok r

epor

ts d

ue?

Day

D

ate

Frid

ay

O

ctob

er 1

0

Mon

day

O

ctob

er 2

0

Thu

rsd

ay

O

ctob

er 3

0

Enri

chB

ook

Rep

orts

7–2

013_

017_

C07

_L02

_105

841.

indd

Pag

e 17

5/7

/10

11:

03:5

5 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

18

C

hapt

er 7

7–3

4NS3

.0, 4

NS1

.3

To e

stim

ate

prod

ucts

, rou

nd n

umbe

rs. T

hen

use

basi

c fa

cts

and

mul

tiply

.Lo

ok a

t th

e nu

mbe

r lin

es b

elow

. 45

67

89

100

12

3

5060

7080

9010

010

2030

40

500

600

700

800

900

1,00

010

020

030

040

0

One

s

Tens

Hun

dred

s

Whe

n a

num

ber

is h

alfw

ay b

etw

een

two

num

bers

, rou

nd u

p.

Rou

nd

th

e gr

eate

r fa

ctor

to

its

grea

test

pla

ce.

Use

bas

ic f

acts

an

d

mu

ltip

ly.

1.

59 ×

560

× 5

300

2.

579

× 4

600

× 4

2,40

0 3

. 78

8 ×

380

0 ×

32,

400

4.

6,22

2 ×

66,

000

× 6

36,0

00 5

. 8,

951

× 4

9,00

0 ×

436

,000

6.

42 ×

740

× 7

280

7.

6,45

0 ×

86,

000

× 8

48,0

00 8

. 68

3 ×

470

0 ×

42,

800

9.

7,39

5 ×

37,

000

× 3

21,0

00

Rete

ach

Use

Rou

ndin

g to

Est

imat

e Pr

oduc

ts

Rem

embe

r to

rou

nd

the

grea

ter

fact

or t

o its

gre

ates

t pl

ace.

Sam

ple

es

tim

ates

ar

e gi

ven

. A

ccep

t al

l re

ason

able

es

tim

ates

.

018_

022_

C07

_L03

_105

841.

indd

Pag

e 18

5/1

1/10

7:0

5:36

PM

elh

i-4/V

olum

es/1

06/G

O00

016_

r3/G

rade

_4%

0/A

pplic

atio

n_F

iles%

0/C

RM

_ch0

7/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

19

C

hapt

er 7

7–3

4NS3

.0, 4

NS1

.3

Esti

mat

e ea

ch p

rod

uct

.

Solv

e.

29.

The

ambu

lanc

e w

orke

rs o

rder

6 f

irst

aid

kits

. Eac

h ki

t co

sts

$39.

Ab

out

how

muc

h do

es it

cos

t fo

r 6

kits

?

6 ×

$40

= $

240

30.

An a

mbu

lanc

e tr

avel

s ab

out

386

mile

s a

day.

Abo

ut h

ow m

any

mile

s do

es it

tra

vel i

n a

wee

k?

400

mil

es ×

7 =

2,8

00 m

iles

Skill

s Pr

acti

ceU

se R

ound

ing

to E

stim

ate

Prod

ucts

1.

5 ×

21

=

5 ×

20

= 1

00

2.

3 ×

39

=

3 ×

40

= 1

20

3.

7 ×

$46

=

7 ×

$50

= $

350

4.

85 ×

6 =

90

× 6

= 5

40

5.

17 ×

9 =

20

× 9

= 1

80

6.

81 ×

3 =

80

× 3

= 2

40

7.

2 ×

$29

8 =

2

× $

300

= $

600

8.

4 ×

305

=

4 ×

300

= 1

,200

9.

478

× 6

=

500

× 6

= 3

,000

10.

5 ×

784

=

5 ×

800

= 4

,000

11.

612

× 9

=

600

× 9

= 5

,400

12.

6 ×

556

=

6 ×

600

= 3

,600

13.

2 ×

1,9

87 =

2

× 2

,000

= 4

,000

14.

3 ×

$2,

126

= 3

× $

2,00

0 =

$6,

000

15.

7 ×

1,9

05 =

7

× 2

,000

= 1

4,00

0

16.

8 ×

3,4

95 =

8

× 3

,000

= 2

4,00

0

17.

4,72

3 ×

4 =

5,

000

× 4

= 2

0,00

0

18.

5 ×

$7,

118

= 5

× $

7,00

0 =

$35

,000

19.

41 ×

6 =

40

× 6

= 2

40

20.

28 ×

7 =

30

× 7

= 2

10

21.

96 ×

2 =

10

0 ×

2 =

200

22.

17 ×

8 =

20

× 8

= 1

60

23.

31 ×

9 =

30

× 9

= 2

70

24.

255

× 4

=

300

× 4

= 1

,200

25.

488

× 3

=

500

× 3

= 1

,500

26.

563

× 5

=

600

× 5

= 3

,000

27.

2,30

7 ×

5 =

2,

000

× 5

= 1

0,00

0

28.

7,59

6 ×

6 =

8,

000

× 6

= 4

8,00

0

Sam

ple

est

imat

es a

re g

iven

. A

ccep

t al

l re

ason

able

est

imat

es.

018_

022_

C07

_L03

_105

841.

indd

Pag

e 19

5/1

1/10

7:0

5:46

PM

elh

i-4/V

olum

es/1

06/G

O00

016_

r3/G

rade

_4%

0/A

pplic

atio

n_F

iles%

0/C

RM

_ch0

7/W

orkb

ook



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

20

C

hapt

er 7

7–3

4NS3

.0, 4

NS1

.3

Esti

mat

e ea

ch p

rod

uct

.

1.

2 ×

36

=

2 ×

40

= 8

0

6. 5

× 4

23 =

5

× 4

00 =

2,0

00

2.

96 ×

3 =

10

0 ×

3 =

300

7.

6 ×

523

= 6

× 5

00 =

3,0

00

3.

6 ×

28

=

6 ×

30

= 1

80

8. 3

× 6

67 =

3

× 7

00 =

2,1

00

4.

68 ×

4 =

70

× 4

= 2

80

9. 2

× 3

66 =

2

× 4

00 =

800

5.

5 ×

41

=

5 ×

40

= 2

00

10.

4 ×

712

= 4

× 7

00 =

2,8

00

Solv

e.

Hom

ewor

k Pr

acti

ce

Use

Rou

ndin

g to

Est

imat

e Pr

oduc

ts

11.

An a

irlin

e pi

lot

trav

els

abou

t 6,

457

mile

s a

wee

k. A

bout

how

man

y m

iles

wou

ld s

he t

rave

l in

a m

onth

?

6,00

0 m

iles

× 4

= 2

4,00

0 m

iles

12.

If th

e L.

A. D

odge

rs w

in a

bout

21

gam

es a

mon

th, a

bout

how

man

y ga

mes

wou

ld t

hey

win

afte

r th

ree

mon

ths?

20 ×

3 =

60;

60

gam

es

Dec

ide

wh

eth

er e

ach

an

swer

is

reas

onab

le. E

xpla

in y

our

reas

onin

g. (

Less

on 7

-2)

13.

Ted

Will

iam

s ha

d ab

out

30 h

ome

runs

a s

easo

n. Is

it r

easo

nabl

e to

say

tha

t he

had

300

hom

e ru

ns w

ithin

a 6

-yea

r pe

riod?

No,

he

only

had

180

hom

e ru

ns.

14.

Roge

r C

lem

ens

pitc

hed

abou

t 16

win

ning

gam

es p

er y

ear.

Afte

r he

ha

d pl

ayed

8 y

ears

for

the

Bos

ton

Red

Sox,

is it

rea

sona

ble

to s

ay

that

he

had

abou

t 13

0 w

ins?

yes,

128

is

abou

t 13

0 w

ins.

Sam

ple

est

imat

es a

re g

iven

. A

ccep

t al

l re

ason

able

est

imat

es.

018_

022_

C07

_L03

_105

841.

indd

Pag

e 20

5/1

1/10

7:0

5:54

PM

elh

i-4/V

olum

es/1

06/G

O00

016_

r3/G

rade

_4%

0/A

pplic

atio

n_F

iles%

0/C

RM

_ch0

7/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

21

Cha

pter

7

7–3

4NS3

.0, 4

NS1

.3Pr

oble

m-S

olvi

ng P

ract

ice

Use

Rou

ndin

g to

Est

imat

e Pr

oduc

ts

Esti

mat

e ea

ch p

rod

uct

.

1.

Each

four

th-g

rade

cla

ss h

as 2

8 st

uden

ts. T

here

are

thr

ee c

lass

es in

th

e sc

hool

. Abo

ut h

ow m

any

four

th-g

rade

stu

dent

s ar

e th

ere

in a

ll?

3×

30

= 9

0; 9

0 fo

urt

h-g

rad

e st

ud

ents

2.

Pizz

as c

ost

$11

each

. M

iss

Adam

s bu

ys 4

piz

zas.

Abo

ut h

ow m

uch

does

she

spe

nd o

n pi

zzas

?

4×

$10

= $

40

3.

Cha

d’s

fam

ily w

ants

to

buy

6 di

ffere

nt b

oard

gam

es. E

ach

boar

d ga

me

cost

s $1

7.99

. Abo

ut h

ow m

uch

will

all

of t

he

boar

d ga

mes

cos

t?

6×

$20

= $

120

4.

Hab

ib b

uys

3 bo

oks

that

cos

t $9

eac

h. A

bout

how

muc

h m

oney

do

es h

e sp

end

on b

ooks

?

3×

$10

= $

30

5.

Mr.

Bel

l buy

s 4

shirt

s th

at c

ost

$17

each

. He

has

$50

to s

pend

. D

oes

he h

ave

enou

gh m

oney

? Ex

plai

n.

4×

$20

= $

80, N

o, h

e d

oes

not

hav

e en

ough

sin

ce $

80 >

$50

.

018_

022_

C07_

L03_

1058

41.in

ddPa

ge21

5/14

/10

10:4

9:19

PMs-

087

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CRM

_ch0

7/W

orkb

oo Answers (Lesson 7-3)

A01_A30_C07_ANS_105841.indd Page A8 5/14/10 10:58:38 PM s-087A01_A30_C07_ANS_105841.indd Page A8 5/14/10 10:58:38 PM s-087 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Pa


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

22

C

hapt

er 7

7–3

4NS3

.0, 4

NS1

.3

py g p

In t

he

cen

ter

of e

ach

flo

wer

bel

ow, y

ou w

ill

see

a ra

nge

of

pro

du

cts.

Use

you

r ro

un

din

g an

d e

stim

atio

n s

kill

s to

com

ple

te

the

mu

ltip

lica

tion

pro

ble

ms

on t

he

pet

als

so t

hat

th

e an

swer

s fa

ll i

nto

th

at r

ange

of

pro

du

cts.

Flow

er 1

3 × 4

×

5 ×

6 ×

7 ×

45

32

26

25

20

125−

150

Enri

chFl

ower

Pow

er

Rang

e of

Pro

duct

s: 1

25–1

50

5

peta

ls:

3 ×

45

4 ×

32

5 ×

26

6 ×

25

7 ×

20

Flow

er 2

6 × 7

×

8 ×

9 ×

10 ×

700−

800

120

100

95

81

75

Rang

e of

Pro

duct

s: 7

00–8

00

5

peta

ls:

6 ×

12

0

7

×

100

8 ×

95

9 ×

81

10 ×

75

018_

022_

C07_

L03_

1058

41.in

dd P

age

22 5

/8/1

0 5

:51:

33 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

23

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Step

1

Mu

ltip

ly t

he

ones

.

3

× 5

= 1

5

This

tim

e th

e pr

oduc

t of

the

one

s is

la

rger

. You

nee

d to

reg

roup

. You

hav

e 1

ten

and

5 on

es. Y

ou n

eed

to

add

th

at t

en

to t

he

oth

er t

ens.

Step

2M

ulti

ply

the

tens

. Add

the

new

ten

.

1

10

× 5

= 5

0 +

10

The

tens

(50

+ 1

0) a

dded

to

the

ones

(5

) =

65

13 ×5 513 ×5 5

13 ×5 6513 ×5 65

Step

1

Mu

ltip

ly t

he

ones

.

3 ×

3 =

9

01

23

45

67

89

Step

2M

ult

iply

th

e te

ns.

10 ×

3 =

30

010

2030

The

tens

(30

) ad

ded

to t

he o

nes

(9)

= 3

9

13 ×3 913 ×3 9

13 ×3 3913 ×3 39

Rete

ach

Mul

tiply

Tw

o-D

igit

Num

bers

Find

13

× 3

.

Firs

t, th

ink

in t

erm

s of

ten

s an

d on

es. 1

3 ha

s 1

ten

and

3 on

es.

Seco

nd, s

et u

p th

e pr

oble

m w

ith t

he g

reat

er n

umbe

r on

top

.

Solv

e th

e p

rob

lem

.

13 ×313 ×37–

4

Find

13

× 5

.Fi

rst,

thin

k in

ter

ms

of t

ens

and

ones

. 13

has

1 te

n an

d 3

ones

. Se

cond

, set

up

the

prob

lem

with

the

gre

ater

num

ber

on t

op.

13 ×5

Solv

e th

e p

rob

lem

.

Mu

ltip

ly. C

hec

k fo

r re

ason

able

nes

s.

1.

26

× 5

=

2

. 22

× 7

=

3.

45 ×

3 =

130;

30

× 5

= 1

5015

4; 2

0 ×

7 =

140

135;

50

× 3

= 1

50

023_

027_

C07

_L04

_105

841.

indd

Pag

e 23

5/7

/10

4:1

9:06

PM

elh

i-4/V

olum

es/1

06/G

O00

016_

r3/G

rade

_4%

0/A

pplic

atio

n_F

iles%

0/C

RM

_ch0

7/W

orkb

ook



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

24

C

hapt

er 7

4NS3

.0, 4

MR2

.1

1.

21 ×

7 =

147

2.

38 ×

5 =

190

3.

54 ×

2 =

108

4.

49 ×

6 =

294

5.

17 ×

4 =

68

6.

25 ×

9 =

225

7.

53 ×

4 =

212

8.

28 ×

7 =

196

9.

61 ×

8 =

488

10.

39 ×

2 =

78

11.

62 ×

2 =

124

12.

38 ×

4 =

152

13.

91 ×

3 =

273

14.

46 ×

5 =

230

15.

78 ×

6 =

468

Skill

s Pr

acti

ceM

ultip

ly T

wo-

Dig

it N

umbe

rs

7–4

31.

Look

bac

k ov

er t

his

page

and

circ

le e

very

pro

duct

gre

ater

tha

n 30

0.

S

ee s

tud

ents

’ wor

k.

Mul

tipl

y.

16.

98 ×

5 =

490

17.

76 ×

6 =

456

18.

24 ×

9 =

216

19.

56 ×

7 =

392

20.

48 ×

8 =

384

21.

66 ×

6 =

396

22.

77 ×

7 =

539

23.

94 ×

3 =

282

24.

59 ×

4 =

236

25.

44 ×

9 =

396

26.

24 ×

7 =

168

27.

19 ×

8 =

152

28.

67 ×

5 =

335

29.

84 ×

4 =

336

30.

91 ×

2 =

182

023_

027_

C07

_L04

_105

841.

indd

Pag

e 24

5/7

/10

11:

34:5

6 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

25

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Solv

e.

17.

A re

ctan

gle

is 5

tile

s w

ide

by 1

3 til

es h

igh.

How

man

y til

es a

re in

th

e re

ctan

gle?

65

til

es 18

. B

ooks

are

sta

cked

in 3

sta

cks

with

17

book

s in

eac

h st

ack.

How

m

any

book

s ar

e in

the

sta

cks?

51 b

ooks

Esti

mat

e ea

ch p

rod

uct

. (Le

sson

7-3

)

Hom

ewor

k Pr

acti

ceM

ultip

ly T

wo-

Dig

it N

umbe

rs

7–4

1.

73 ×

3 =

219

3.

44 ×

5 =

220

5.

31 ×

7 =

217

7.

68 ×

8 =

544

9.

32 ×

9 =

288

11.

65 ×

5 =

325

13.

33 ×

6 =

198

15.

96 ×

3 =

288

2.

88 ×

4 =

352

4.

74 ×

5 =

370

6.

85 ×

4 =

340

8.

77 ×

6 =

462

10.

97 ×

2 =

194

12.

66 ×

8 =

528

14.

94 ×

3 =

282

16.

59 ×

7 =

413

Mu

ltip

ly.

19.

89 ×

2 =

90

× 2

= 1

80

21.

6 ×

105

=

100

× 6

= 6

00

23.

4 ×

209

=

200

× 4

= 8

00

20.

396

× 4

= 4

00 ×

4 =

1,6

00

22.

3 ×

412

= 4

00 ×

3 =

1,2

00

24.

3 ×

970

= 1

,000

× 3

= 3

,000

Solv

e.

25.

A fo

otba

ll pl

ayer

run

s ab

out

104

yard

s ea

ch g

ame.

Afte

r he

has

pla

yed

2 ga

mes

, abo

ut h

ow m

any

yard

s ha

s he

run

? A

bou

t 20

0 ya

rds

023_

027_

C07

_L04

_105

841.

indd

Pag

e 25

5/7

/10

11:

05:3

7 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

26

C

hapt

er 7

4NS3

.0, 4

MR2

.1

1.

Ther

e ar

e 3

bird

s on

the

gro

und.

Eac

h bi

rd e

ats

10 w

orm

s. H

ow

man

y w

orm

s ar

e ea

ten

all t

oget

her?

3

0 w

orm

s 2

. Si

mon

has

12

CD

s. H

e bu

rns

3 co

pies

of

each

. How

man

y C

Ds

did

Sim

on m

ake?

3

6 CD

s 3

. Th

e sc

hool

aud

itoriu

m h

as 4

row

s of

sea

ts. T

here

are

18

seat

s in

ea

ch r

ow. H

ow m

any

stud

ents

can

sit

in t

he a

udito

rium

?

7

2 st

ud

ents

4.

The

scho

ol c

afet

eria

has

6 r

ows

of t

able

s. E

ach

row

has

22

plac

es

to s

it. H

ow m

any

stud

ents

can

eat

in t

he s

choo

l caf

eter

ia?

13

2 st

ud

ents

5.

Scot

t is

pla

ying

a g

ame

of m

emor

y w

ith s

ome

pict

ure

card

s. H

e m

akes

4 r

ows

and

puts

23

card

s in

eac

h ro

w. H

ow m

any

pict

ure

card

s is

Sco

tt u

sing

in t

his

gam

e?

9

2 p

ictu

re c

ard

s 6

. Ka

te w

ould

like

to

play

the

mem

ory

gam

e, t

oo. S

he a

dds

her

card

s to

the

gam

e. N

ow, t

here

are

8 r

ows,

and

24

card

s in

eac

h ro

w.

How

man

y ca

rds

are

ther

e no

w?

1

92 c

ard

s 7

. Jo

hn w

ants

to

buy

birt

hday

gift

s fo

r 8

frie

nds.

He

can

spen

d $1

9 fo

r ea

ch g

ift. H

ow m

uch

will

he

spen

d in

all?

$

152

8.

Car

olin

e m

akes

$5

an h

our

pet-

sitt

ing

for

the

neig

hbor

s. L

ast

sum

mer

she

wor

ked

31 h

ours

. How

muc

h m

oney

did

Car

olin

e ea

rn?

$

155

7–4

Prob

lem

-Sol

ving

Pra

ctic

eM

ultip

ly T

wo-

Dig

it N

umbe

rs

Solv

e.

023_

027_

C07_

L04_

1058

41.in

dd P

age

26 5

/8/1

0 5

:51:

06 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

27

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Use

th

e cl

ues

to

figu

re o

ut

each

fac

tor.

Wri

te t

hem

in

th

e tw

o to

p

box

es. T

hen

mu

ltip

ly a

nd

wri

te t

he

pro

du

ct i

n t

he

thir

d b

ox.

1.

Prim

e nu

mbe

r be

twee

n 25

and

30

×

O

dd n

umbe

r gr

eate

r th

an 6

and

div

isib

le b

y 3

2.

Lett

ers

in “

mul

tiplic

atio

n” ×

Qua

rts

in a

gal

lon

3.

Squa

re n

umbe

r cl

ose

to 5

0 ×

Hal

f a

doze

n

4.

Inch

es in

a y

ard

× D

ays

in a

wee

k

5.

Five

tim

es e

leve

n ×

Sid

es o

f an

oct

agon

Enri

chW

hat’s

the

Pro

blem

?

7–4

299 261

496 294

144 56

367 252

558 440

023_

027_

C07_

L04_

1058

41.in

dd P

age

27 5

/8/1

0 5

:51:

06 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

28

C

hapt

er 7

4MR1

.0, 4

NS3

.0Re

teac

hPr

oble

m-S

olvi

ng In

vest

igat

ion

Choo

se t

he

Bes

t St

rate

gy

Her

e ar

e fiv

e pr

oble

m-s

olvi

ng s

trat

egie

s an

d tip

s on

how

to

use

them

.

Stra

tegy

How

to

Use

It

Use

th

e fo

ur-

step

pla

nU

nder

stan

d th

e fa

cts.

Pla

n yo

ur

stra

tegy

. Sol

ve t

he p

robl

em u

sing

the

st

rate

gy. C

heck

you

r w

ork.

Dra

w a

pic

ture

Cre

ate

a pi

ctur

e fr

om t

he w

ords

in

the

prob

lem

to

help

you

fin

d th

e an

swer

.Lo

ok f

or a

pat

tern

Spot

whe

ther

the

re is

som

ethi

ng in

th

e pr

oble

m t

hat

repe

ats

or lo

oks

the

sam

e.M

ake

a ta

ble

Org

aniz

e da

ta b

y m

akin

g a

tabl

e w

ith

colu

mns

for

eac

h ca

tego

ry a

nd r

ows

for

each

num

ber.

Fill

in t

he n

umbe

rs

to s

olve

the

pro

blem

.W

ork

bac

kwar

dSt

art

with

the

info

rmat

ion

give

n in

the

pr

oble

m. T

hen

use

subt

ract

ion

to f

ind

the

answ

er t

o th

e pr

oble

m.

Use

an

y st

rate

gy s

how

n b

elow

to

solv

e. T

ell

wh

at s

trat

egy

you

use

d.

•

Use

the

fou

r-st

ep p

lan

• M

ake

a ta

ble

•

Dra

w a

pic

ture

•

Wor

k ba

ckw

ard

•

Look

for

a p

atte

rn

1.

Bob

wan

ts t

o tr

eat

his

3 fr

iend

s to

rid

es a

t an

am

usem

ent

park

. All-

day

pass

es c

ost

$10.

Wha

t w

ill B

ob h

ave

to p

ay

for

him

self

and

his

frie

nds

to g

o on

the

rid

es a

ll da

y?

$40;

fou

r-st

ep p

lan

7–5

028_

032_

C07_

L05_

1058

41.in

dd P

age

28 5

/8/1

0 5

:50:

32 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

29

C

hapt

er 7

4MR1

.0, 4

NS3

.0

Copygt©aca/cGaw,advsooecGawCopaes,c.

2.

Russ

is s

ettin

g up

his

sci

ence

pro

ject

abo

ut t

he s

eash

ore

at t

he

fair.

He

has

seve

ral r

ocks

at

the

edge

of

the

wat

er, o

n th

e rig

ht

side

of

the

disp

lay.

He

has

sand

on

the

left

side

. Fiv

e st

arfis

h ar

e on

the

rig

ht s

ide

of t

he r

ocks

, tou

chin

g th

e w

ater

. Are

the

sta

rfis

h ne

xt t

o th

e sa

nd?

N

o, t

hey

are

on

th

e ri

ght

sid

e, t

he

rock

s ar

e in

bet

wee

n t

he

san

d a

nd

th

est

arfi

sh. D

raw

a P

ictu

re 3

. Fi

ll in

the

mis

sing

num

ber.

3, 6

, 12,

24,

, 9

6, 1

9248

; lo

ok f

or a

pat

tern

4.

Ther

e ar

e 5

mar

bles

in e

ach

bag.

How

man

y m

arbl

es

do y

ou h

ave

if yo

u ar

e gi

ven

10 b

ags

of r

ed m

arbl

es,

12 b

ags

of y

ello

w m

arbl

es, a

nd 8

bag

s of

blu

e m

arbl

es?

150;

mak

e a

tab

le 5

. M

ary

now

has

5 p

airs

of

snea

kers

. Her

frie

nd g

ave

her

1 w

hite

pai

r ye

ster

day.

Her

mom

bou

ght

her

new

pin

k on

es

this

mor

ning

. How

man

y pa

irs d

id s

he h

ave

orig

inal

ly?

3 p

airs

; w

ork

bac

kwar

d

6.

Han

k is

pla

ntin

g pe

pper

pla

nts.

In t

he f

irst

row

, he

plan

ts 1

pep

per.

In t

he s

econ

d ro

w, h

e pl

ants

2. I

n th

e th

ird r

ow, h

e pl

ants

4. I

n th

e fo

urth

row

he

plan

ts

8. H

ow m

any

pepp

ers

will

he

plan

t in

the

six

th r

ow?

32;

look

for

a p

atte

rn o

r m

ake

a ta

ble

7.

Now

, Jay

has

a c

olle

ctio

n of

20

base

ball

hats

. He

just

got

a

new

one

on

a sc

hool

trip

. Las

t w

eek,

his

fat

her’s

frie

nd

gave

him

6 h

ats.

How

man

y ha

ts d

id h

e ha

ve o

rigin

ally

? 13

; w

ork

bac

kwar

d 8

. Je

rry

was

late

to

scho

ol a

ll w

eek.

On

Mon

day,

Tue

sday

, and

W

edne

sday

; Jer

ry w

as 3

0 m

inut

es la

te. O

n Th

ursd

ay a

nd F

riday

he

was

50

min

utes

late

. The

prin

cipa

l tol

d hi

m t

hat

he w

ould

hav

e to

sta

y af

ter

scho

ol a

nd m

ake

up a

ll of

the

tim

e be

fore

the

end

of

the

year

. How

man

y m

inut

es w

ill J

erry

hav

e to

sta

y af

ter

scho

ol?

190

min

ute

s; m

ake

a ta

ble

Rete

ach

(con

tinue

d)

Prob

lem

-Sol

ving

Inve

stig

atio

n

7–5

028_

032_

C07_

L05_

1058

41.in

dd P

age

29 5

/8/1

0 5

:50:

33 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook



P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Nam

e D

ate

Gra

de 4

30

C

hapt

er 7

4MR1

.0, 4

NS3

.0

py g p

Pro

ble

m-S

olvi

ng

Stra

tegi

es

•

Dra

w a

pic

ture

•

Mak

e a

tabl

e

• Lo

ok f

or a

pat

tern

•

Wor

k ba

ckw

ard

Use

an

y st

rate

gy s

how

n a

bov

e to

sol

ve. T

ell

wh

at s

trat

egy

you

use

d.

1.

Fred

is b

uyin

g so

da a

nd s

nack

s fo

r a

scho

ol e

vent

. He

has

to w

alk

to t

he s

tore

and

can

onl

y ca

rry

a lim

ited

amou

nt a

t on

e tim

e. H

e w

alke

d to

the

sto

re 4

tim

es. T

he f

irst

time

he b

roug

ht b

ack

10

item

s, t

he s

econ

d tim

e 32

, the

thi

rd t

ime

12, a

nd t

he la

st t

ime

15.

How

man

y ite

ms

did

he p

urch

ase?

mak

e a

tab

le;

69 i

tem

s 2

. Jo

e is

bui

ldin

g a

stor

age

shed

. He

need

s 20

0 na

ils f

or e

ach

one

of

the

4 si

des,

500

nai

ls f

or t

he r

oof,

100

nails

for

the

doo

r, an

d 20

0 na

ils f

or t

he s

teps

. How

man

y na

ils w

ill h

e ne

ed in

all?

mak

e a

tab

le;

1,60

0 n

ails

3.

Andy

is c

reat

ing

a de

sign

usi

ng c

olor

ed s

hape

s. H

e is

sta

rtin

g w

ith a

tria

ngle

and

end

ing

with

ano

ther

tria

ngle

. In

betw

een

the

tria

ngle

s, h

e ha

s a

circ

le t

o th

e le

ft of

a s

quar

e. W

hat

does

the

de

sign

look

like

?

d

raw

a p

ictu

re o

r lo

ok f

or a

pat

tern

;tr

iang

le, c

ircl

e, s

qu

are,

tri

angl

e 4

. G

ary

rake

s le

aves

. The

firs

t da

y, h

e fil

ls 6

bag

s. T

he s

econ

d da

y, h

e fil

ls 8

bag

s. T

he t

hird

day

, he

fills

10

bags

of

leav

es. I

f th

is p

atte

rn

cont

inue

s, h

ow m

any

bags

will

he

fill o

n th

e fo

urth

day

?

look

for

a p

atte

rn;

12 b

ags

5.

Sher

ri no

w h

as 2

5 pa

irs o

f ear

rings

. Las

t w

eek

she

was

giv

en 2

pai

rs

for

her

birt

hday

. Jus

t ye

ster

day,

her

old

er s

iste

r ga

ve h

er 2

set

s of

ea

rrin

gs. H

ow m

any

sets

of

earr

ings

did

she

hav

e or

igin

ally

?

wor

k b

ackw

ard

, 21

sets

Skill

s Pr

acti

cePr

oble

m-S

olvi

ng In

vest

igat

ion

7-5

028_

032_

C07_

L05_

1058

41.in

dd P

age

30 5

/8/1

0 5

:50:

34 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

31

C

hapt

er 7

4MR1

.0, 4

NS3

.0

Use

an

y st

rate

gy t

o so

lve.

1.

Joe

has

5 ne

w n

oteb

ooks

for

sch

ool.

Two

of t

hose

not

eboo

ks h

ave

3 se

ctio

ns a

nd t

hree

hav

e 5

sect

ions

. Joe

nee

ds 2

0 se

ctio

ns in

all.

Doe

s he

hav

e en

ough

? ye

s, h

e h

as 2

1 2

. Ea

ch c

lass

use

s 1,

000

shee

ts o

f pa

per

ever

y w

eek.

The

sch

ool u

ses

a to

tal o

f 9,

000

shee

ts o

f pa

per

ever

y w

eek.

How

man

y cl

asse

s ar

e

in t

he s

choo

l? 9

cla

sses

3.

Writ

e a

prob

lem

tha

t yo

u ca

n so

lve

by lo

okin

g fo

r a

patt

ern.

Ex

plai

n th

e pa

tter

n yo

u us

ed.

Jill

cal

led

4 f

rien

ds

and

tol

d t

hem

sh

e w

asm

ovin

g. E

ach

of

her

fri

end

s ca

lled

4 d

iffe

ren

tp

eop

le a

nd

tol

d t

hem

to

say

good

bye

to

Jill

. H

ow m

any

peo

ple

kn

ow t

hat

Jil

l is

mov

ing?

4 ×

4 +

th

e or

igin

al 4

+ J

ill

= 2

1

Mu

ltip

ly. (

Less

on 7

-4)

4.

55 ×

5 =

275

10

. 4

× 5

2 =

208

16

. 9

× 2

2 =

198

5.

75 ×

6 =

450

11

. 63

× 7

= 4

41

17.

72 ×

8 =

576

6.

8 ×

47

= 3

76

12.

29 ×

9 =

261

18

. 33

× 5

= 1

65 7

. 6

× 3

9 =

234

13

. 32

× 5

= 1

60

19.

2 ×

90

= 1

80 8

. 2

× 9

8 =

196

14

. 4

× 6

0 =

240

9.

84 ×

6 =

504

15

. 66

× 8

= 5

28So

lve.

20.

Ther

e ar

e 26

tea

ms

in t

he b

aske

tbal

l lea

gue.

Eac

h te

am h

as

9 pl

ayer

s on

its

rost

er. H

ow m

any

play

ers

are

ther

e al

l tog

ethe

r?

234

pla

yers

7–5

Hom

ewor

k Pr

acti

cePr

oble

m-S

olvi

ng In

vest

igat

ion

028_

032_

C07

_L05

_105

841.

indd

Pag

e 31

5/7

/10

11:

07:5

8 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k


P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

32

C

hapt

er 7

4MR1

.0, 4

NS3

.0

py g p

12

34

89

105

67

11

1516

1712

1314

18

2223

2419

2021

25

2930

3126

2728

OC

TO

BE

RS

MT

WT

FS

Angi

e ha

s to

sel

l 72

cale

ndar

s fo

r he

r sc

hool

fun

drai

ser.

1.

If An

gie

star

ts s

ellin

g on

Thu

rsda

y, a

nd s

he s

ells

9 c

alen

dars

eve

ry

day,

on

wha

t da

y of

the

wee

k w

ill s

he s

ell a

ll of

the

cal

enda

rs?

on t

he

eigh

th d

ay, w

hic

h i

s th

e fo

llow

ing

Thu

rsd

ay 2

. W

hat

if An

gie

sells

12

cale

ndar

s a

day?

If A

ngi

e so

ld 1

2 ca

len

dar

s a

day

sh

e w

ould

fin

ish

on

th

e si

xth

day

.O

n M

onda

y, A

ngie

’s t

each

er a

nnou

nced

tha

t th

e fu

ndra

iser

wou

ld la

st

for

a to

tal o

f 4

wee

ks. I

f An

gie

sold

at

a ra

te o

f 9

cale

ndar

s a

day,

how

m

any

wou

ld s

he s

ell b

y th

e en

d of

the

fun

drai

ser?

Use

the

wor

kshe

et

to h

elp

you

find

the

answ

er.

By

Wee

k 1 63

cal

end

ars

By

Wee

k 2 12

6 ca

len

dar

sB

y W

eek

3 18

9 ca

len

dar

sB

y W

eek

4 25

2 ca

len

dar

s

Enri

ch

Wee

kly

Sale

s

7–5

028_

032_

C07_

L05_

1058

41.in

dd P

age

32 5

/8/1

0 5

:50:

35 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Chapter Resources

Nam

e D

ate

Gra

de 4

33

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Mu

ltip

ly b

y fo

llow

ing

step

s.

Find

22

× 6

.

Step

1

Thin

k in

ter

ms

of t

ens

and

ones

.22

is 2

ten

s an

d 2

ones

.

Tens 2

One

s

2

Step

2

Mul

tiply

the

one

s.

→

Tens 2

One

s

2 6

1

22

×

6

6

× 2

1

2 Reg

roup

12

ones

as

1 te

n +

2 o

nes.

Be

sure

to

put

the

1 in

the

ten

s co

lum

n ab

ove

the

two.

Step

3

Mul

tiply

the

ten

s.

Tens 2

One

s

2 6

→

1

2

2×

6

132

6 ×

2 t

ens

= 1

2 te

ns. A

dd t

he r

egro

uped

ten

.12

ten

s +

1 t

en =

13

tens

.Re

grou

p 13

ten

s as

1 h

undr

ed a

nd 3

ten

s.

Mu

ltip

ly.

1.

Tens 3

One

s

1 7

→

2.

Te

ns 3

One

s

5 6

→

217

217

210

210

7–6

Rete

ach

Mul

tiply

Mul

ti–D

igit

Num

bers

033_

037_

C07

_L06

_105

841.

indd

Pag

e 33

5/7

/10

11:

08:2

4 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

34

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Mu

ltip

ly.

1.

114

× 6

= 6

84 2

. 26

1 ×

4 =

1,0

44 3

. 62

8 ×

8 =

5,0

24 4

. 73

9 ×

5 =

3,6

95 5

. 29

5 ×

3 =

885

6.

375

× 5

= 1

,875

7.

648

× 7

= 4

,536

8.

1,52

5 ×

6 =

9,1

50 9

. 1,

313

× 9

= 1

1,81

7 10

. 4,

512

× 5

= 2

2,56

0 11

. 6,

421

× 3

= 1

9,26

3 12

. $1

,225

× 9

= $

11,0

25

ALG

EBR

A F

ind

th

e va

lue

of e

ach

exp

ress

ion

if

t =

7.

13. t

× 3

85 =

2,6

9514

. t ×

7,4

41 =

52,

087

15.

t ×

1,1

23 =

7,8

61Co

mp

are.

Use

>, <

, or

=.

16.

396

× 4

<

5 ×

423

17.

4 ×

712

>

3 ×

412

18.

3 ×

656

<

7 ×

366

19.

6 ×

523

>

2 ×

379

20.

2 ×

961

<

8 ×

612

Skill

s Pr

acti

ceM

ultip

ly M

ulti–

Dig

it N

umbe

rs

7–6

033_

037_

C07

_L06

_105

841.

indd

Pag

e 34

5/7

/10

11:

08:3

2 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

35

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Mu

ltip

ly.

1.

416

× 6

=

2,49

6

6. 5

,216

× 6

= 31

,296

2.

293

× 5

=

1,46

5

7. $

3,59

1 ×

3 =

$1

0,77

3 3

. 15

3 ×

4 =

61

2

8. $

4,32

5 ×

9 =

$3

8,92

5 4

. 31

0 ×

3 =

93

0

9. 2

,135

× 2

=

4,27

0 5

. 2,

135

× 4

= 8

,540

10

. 5,

112

× 4

= 2

0,44

8A

LGEB

RA

Fi

nd

th

e va

lue

of e

ach

exp

ress

ion

if

n =

3.

11.

n ×

6,4

21 =

19,

263

12.

n ×

1,9

13 =

5,

739

Hom

ewor

k Pr

acti

ceM

ultip

ly M

ulti–

Dig

it N

umbe

rs

7–6

Solv

e.

13.

Ther

e ar

e 9

child

ren

in t

he s

cout

tro

op. E

ach

of t

hem

con

trib

uted

12

7 ho

urs

to c

omm

unity

cle

an-u

p pr

ojec

ts. W

hat

is t

he t

otal

nu

mbe

r of

hou

rs t

he s

cout

tro

op c

ontr

ibut

ed?

1,

143

hou

rs 14

. Fi

ve p

eopl

e do

nate

d to

the

sch

ool l

ibra

ry t

his

year

. Eac

h pe

rson

do

nate

d $2

25. H

ow m

uch

mon

ey d

id t

he li

brar

y ge

t in

don

atio

ns

this

yea

r? $

1,12

5

Use

an

y st

rate

gy t

o so

lve.

(Le

sson

7-5

)

15.

For

the

past

6 w

eeks

, fou

rth-

grad

e sa

fety

gua

rds

have

wor

ked

afte

r sc

hool

and

wai

ted

with

firs

t-gr

ade

stud

ents

unt

il th

eir

pare

nts

cam

e fo

r th

em. T

he f

irst

wee

k th

ey w

aite

d w

ith 5

firs

t-gr

ader

s,

the

seco

nd w

eek

with

7, t

he t

hird

wee

k w

ith 9

. If

the

patt

ern

cont

inue

d, h

ow m

any

first

-gra

ders

did

the

y w

ait

with

for

the

fo

urth

, fift

h, a

nd s

ixth

wee

ks? 11

, 13,

15

16.

Twen

ty b

abys

itter

s in

the

bab

ysitt

ers

club

ear

ned

a to

tal o

f $4

00

for

the

club

eac

h m

onth

. How

muc

h w

ould

40

baby

sitt

ers

earn

?

$800

033_

037_

C07

_L06

_105

841.

indd

Pag

e 35

5/7

/10

11:

08:3

8 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

36

Cha

pter

7

4NS3

.0, 4

MR2

.1

Solv

e.

1.

The

first

flo

or o

f an

apa

rtm

ent

build

ing

has

spac

e fo

r 11

2 sm

all

apar

tmen

ts. T

he n

ext

5 flo

ors

are

the

sam

e. T

he f

irst

6 flo

ors

of

the

apar

tmen

t bu

ildin

g ha

ve s

pace

for

how

man

y ap

artm

ents

?

672

2.

Each

yea

r 6,

578

peop

le e

at lu

nch

in a

cer

tain

res

taur

ant.

Dur

ing

a pe

riod

of 5

yea

rs, h

ow m

any

peop

le w

ill e

at in

thi

s re

stau

rant

?

32,8

90 p

eop

le

3.

The

max

imum

num

ber

of p

eopl

e th

at c

an b

e on

the

top

of

a bu

ildin

g at

one

tim

e is

400

. By

10 A

.M. o

ne m

orni

ng t

here

ha

d al

read

y be

en 4

gro

ups

of 3

98 p

eopl

e to

the

top

. How

m

any

peop

le h

ave

been

to

the

top

of t

he b

uild

ing

alre

ady?

1,59

2 p

eop

le

4.

In o

ne g

reen

hous

e, t

here

wer

e 42

7 pl

ants

. If

ther

e w

ere

5 gr

eenh

ouse

s gr

owin

g th

e sa

me

num

ber

of

plan

ts, h

ow m

any

plan

ts w

ould

the

re b

e al

toge

ther

?

2,13

5 p

lan

ts

5.

A fa

mou

s co

ncer

t ha

ll se

ats

9,55

1 pe

ople

. Eve

ry s

eat

was

fill

ed f

or t

he 9

con

cert

s th

at t

ook

plac

e in

Jun

e. H

ow

man

y pe

ople

hea

rd a

con

cert

in t

his

conc

ert

hall

in J

une?

85,9

59 p

eop

le

6.

A ta

xi d

river

kep

t tr

ack

of h

ow m

any

peop

le w

ere

frie

ndly

to

him

in a

day

. Six

teen

peo

ple

told

him

wha

t th

ey w

ere

doin

g in

the

city

, 8 a

sked

him

if h

e ha

d a

fam

ily, 2

3 to

ld

him

wha

t th

ey li

ked

best

abo

ut t

he c

ity, a

nd 3

ask

ed if

the

y co

uld

buy

him

cof

fee.

The

tax

i driv

er w

ante

d hi

s fr

iend

s to

be

lieve

tha

t pe

ople

are

frie

ndly

, so

he t

riple

d hi

s nu

mbe

rs.

How

man

y pe

ople

did

the

tax

i driv

er s

ay w

ere

frie

ndly

to

him

?

150

peo

ple

Prob

lem

-Sol

ving

Pra

ctic

eM

ultip

ly M

ulti-

Dig

it N

umbe

rs

7–6

033_

037_

C07_

L06_

1058

41.in

ddPa

ge36

5/14

/10

10:5

0:57

PMs-

087

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CRM

_ch0

7/W

orkb

oo

Chapter Resources

Nam

e D

ate

Gra

de 4

37

C

hapt

er 7

4NS3

.0, 4

MR2

.1

Usi

ng o

nly

1, 2

, 3, a

nd 6

to

mak

e th

ree-

digi

t nu

mbe

rs, f

ind

six

even

m

ultip

les

of t

hree

. (Yo

u m

ay n

ot r

epea

t th

ese

num

eral

s in

the

sam

eth

ree-

digi

t nu

mbe

r, so

num

bers

like

222

are

not

allo

wed

.)

Wri

te t

he

six

even

mu

ltip

les

of t

hre

e in

ord

erfr

om l

east

to

grea

test

:

1. 12

6 2

. 13

2 3

. 16

2 4

. 21

6 5

. 31

2 6.

612

Use

th

em, i

n t

hat

ord

er, t

o co

mp

lete

th

ese

mu

ltip

lica

tion

p

rob

lem

s. T

hen

sol

ve t

he

pro

ble

ms.

1.

2.

3.

×

5

630

×

6

792

×

9

1,45

8

4.

5.

6.

×

4

864

×

7

2,18

4

×

8

4,89

6

Enri

chM

ore

Mul

tiple

s

7–6

033_

037_

C07_

L06_

1058

41.in

dd P

age

37 5

/8/1

0 5

:49:

56 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook




Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

38

C

hapt

er 7

7–7

You

can

use

th

e sa

me

step

s to

mu

ltip

ly n

um

ber

s th

at c

onta

in

zero

s th

at y

ou u

se t

o m

ult

iply

an

y m

ult

idig

it n

um

ber

.

Find

305

× 4

.

Step

1

Thin

k in

term

s of

hun

dred

s, te

ns,

and

ones

.30

5 is

3 h

undr

eds

+ 0

ten

s +

4

ones

.

Step

2

Mul

tiply

the

on

es.

2

305

× 4

4

× 5

= 2

0

0 Re

grou

p 20

one

s as

2 te

ns +

0

ones

. Be

sure

to

put

the

2 in

the

ten

s co

lum

n ab

ove

the

0.

Step

3

Mul

tiply

the

ten

s.

2

305

× 4

20

4 ×

0 t

ens

= 0

ten

sAd

d th

e re

grou

ped

2 te

ns.

0 te

ns +

2 t

ens

= 2

ten

s

Step

4

Mul

tiply

the

hu

nd

red

s.

2

305

× 4

1220

4 ×

3 h

undr

eds

= 1

tho

usan

d +

2

hund

reds

. 0 o

nes

+ 2

ten

s +

2

hund

reds

+ 1

tho

usan

d =

122

0

Rete

ach

Mul

tiply

Acr

oss

Zero

s→

→

↖

Mu

ltip

ly.

1.

402

× 8

= 3

,216

2.

7,00

9 ×

3 =

21,

027

3.

5 ×

301

= 1

,505

4. 6

× 9

,020

= 5

4,12

0

5. 2

× 1

,099

= 2

,198

6.

7 ×

8,1

07 =

56,

749

7.

806

× 9

= 7

,254

8.

5,00

7 ×

4 =

20,

0284N

S3.0

, 4M

R2.1

038_

042_

C07

_L07

_105

841.

indd

Pag

e 38

5/7

/10

11:

11:3

4 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

39

C

hapt

er 7

7–7

1.

709

× 6

= 4,

254

2.

450

× 3

= 1,

350

3.

805

× 5

4,

025

4.

6,05

8 ×

8 =

48,

464

5.

5,60

8 ×

4 =

22,

432

6.

5,07

9 ×

8 =

40,

632

7.

1,04

7 ×

7 =

7,

329

8.

2,00

9 ×

2 =

4,

018

9.

4,01

0 ×

3 =

12,

030

10.

7,02

8 ×

4 =

28,

112

11.

5,00

1 ×

9 =

45,

009

12.

7,08

4 ×

9 =

63,

756

13.

4,80

7 ×

7 =

33,

649

14.

3,00

9 ×

4 =

12,

036

15.

9,01

2 ×

6 =

54,

072

16.

7,04

0 ×

8 =

56,

320

17.

1,02

7 ×

5 =

5,

135

18.

5,40

5 ×

5 =

27,

025

19.

3,00

4 ×

3 =

9,

012

20.

4,30

3 ×

2 =

8,

606

21.

1,00

9 ×

3 =

3,

027

22.

9,30

0 ×

1 =

9,

300

23.

9,09

9 ×

9 =

81,

891

Skill

s Pr

acti

ceM

ultip

ly A

cros

s Ze

ros

Solv

e.

24.

Tam

ara

has

5 ta

ll tr

ees

in h

er b

ack

yard

. Eac

h tr

ee is

108

fee

t ta

ll.

How

tal

l are

all

the

tree

s pu

t to

geth

er?5

40 f

eet

25.

Look

bac

k ov

er t

he p

age

and

circ

le e

very

pro

duct

tha

t ha

s a

3 in

the

tens

pla

ce. D

raw

a b

ox a

roun

d ev

ery

prod

uct

that

has

a 2

in t

he t

hous

ands

pla

ce. S

ee s

tud

ents

’ wor

k.

Mu

ltip

ly.

4NS3

.0, 4

MR2

.1

038_

042_

C07

_L07

_105

841.

indd

Pag

e 39

5/7

/10

11:

11:4

3 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Nam

e D

ate

Gra

de 4

40

C

hapt

er 7

7–7

Hom

ewor

k Pr

acti

ceM

ultip

ly A

cros

s Ze

ros

Mu

ltip

ly.

For

exer

cise

11,

com

ple

te t

he

tab

le.

11.

Mul

tiply

by

5,80

9.

Inp

ut

56

78

9

Ou

tpu

t29

,045

34,8

5440

,663

46

,472

52,2

81

Solv

e.

12.

Jaim

e ha

s 8

boxe

s of

bea

ds. E

ach

box

has

50 b

eads

in it

. How

man

y be

ads

does

she

hav

e in

all?

400

bea

ds

Solv

e (L

esso

n 7

-6)

13.

9,73

2 ×

9 =

87,

588

14.

2,58

1 ×

2 =

5,

162

15.

Ther

e ar

e 18

2 bu

lletin

boa

rds

thro

ugho

ut t

he s

choo

l. Ea

ch b

ulle

tin

boar

d is

cov

ered

by

8 la

rge

piec

es o

f co

lore

d pa

per.

Ever

y su

mm

er

the

colo

red

pape

r is

rep

lace

d. H

ow m

any

shee

ts o

f pa

per

does

it

take

to

cove

r th

e bu

lletin

boa

rds?

1,4

56 s

hee

ts 16

. Th

e sc

hool

bul

letin

boa

rds

disp

lay

at le

ast

1,00

0 st

uden

ts’ p

aper

s.

The

bulle

tin b

oard

s ar

e ch

ange

d 9

times

dur

ing

the

scho

ol y

ear.

At

leas

t ho

w m

any

stud

ent

pape

rs a

re d

ispl

ayed

ove

r th

e ye

ar? 9

,000

pap

ers

9,00

0 p

aper

s

1.

460

× 6

= 2

,760

2.

308

× 8

= 2

,464

3.

6,40

4 ×

3 =

19,

212

4.

5,06

0 ×

5 =

25,

300

5.

7,03

2 ×

4 =

28,

128

6.

3,05

6 ×

6 =

18,

336

7.

7,50

1 ×

4 =

30,

004

8.

7,81

0 ×

8 =

62,

480

9.

$2,0

58 ×

3 =

$6,

174

10.

$8,0

40 ×

2 =

$16

,0804N

S3.0

, 4M

R2.1

038_

042_

C07

_L07

_105

841.

indd

Pag

e 40

5/7

/10

11:

11:5

4 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k

Chapter Resources

Nam

e D

ate

Gra

de 4

41

C

hapt

er 7

7–7

Prob

lem

-Sol

ving

Pra

ctic

eM

ultip

ly A

cros

s Ze

ros

Solv

e.

1.

The

scho

ol h

as 2

06 b

oxes

of

chal

k. E

ach

box

has

8 pi

eces

of

chal

k in

side

. How

man

y pi

eces

of

chal

k ar

e th

ere

in a

ll?

1,64

8 p

iece

s of

ch

alk

2.

Ther

e ar

e 40

1 w

indo

ws

in t

he s

choo

l. Ea

ch w

indo

w h

as 9

pan

es.

Whe

n M

r. Pa

rker

was

hes

each

win

dow

pan

e by

han

d, h

ow m

any

pane

s do

es h

e w

ash?

3,60

9 w

ind

ow p

anes

3.

The

art

teac

her

orde

red

201

sets

of m

arke

rs fo

r he

r st

uden

ts t

o us

e.

Each

set

has

32

mar

kers

. How

man

y m

arke

rs d

id s

he o

rder

in a

ll?

6,43

2 m

arke

rs

4.

Each

tim

e th

e ar

t cl

ass

pain

ts p

ictu

res,

108

bru

shes

mus

t be

cl

eane

d. If

the

art

cla

ss p

aint

s pi

ctur

es 9

tim

es d

urin

g th

e ye

ar,

how

man

y br

ushe

s w

ill b

e cl

eane

d?

972

bru

shes

5.

Bre

nt r

ode

his

bicy

cle

4 m

iles

durin

g th

e la

st d

ay o

f Au

gust

. His

bi

cycl

e ha

s an

odo

met

er t

hat

mea

sure

s ho

w f

ar in

mile

s an

d ya

rds.

Ea

ch m

ile h

as 1

,760

yar

ds. H

ow m

any

yard

s di

d B

rent

rid

e on

the

la

st d

ay o

f Au

gust

?

7,04

0 ya

rds

6.

Cas

sand

ra r

an 7

mile

s du

ring

the

wee

k. S

he w

ears

a p

edom

eter

th

at m

easu

res

how

far

she

run

s in

mile

s an

d ya

rds.

Eac

h m

ile h

as

1,76

0 ya

rds.

How

man

y ya

rds

did

Cas

sand

ra r

un in

the

wee

k?12

,320

yar

ds

4NS3

.0, 4

MR2

.1

038_

042_

C07

_L07

_105

841.

indd

Pag

e 41

5/7

/10

10:

30:5

4 A

M e

lhi-4

/Vol

umes

/106

/GO

0001

6_r3

/Gra

de_4

%0/

App

licat

ion_

File

s%0/

CR

M_c

h07/

Wor

kboo

k



P rinter P DF

Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.


Copyright ©

Macm

illan/McG

raw-H


cGraw

-Hill C

ompanies, Inc.

Nam

e D

ate

Gra

de 4

42

C

hapt

er 7

7–7

Enri

chM

enta

l Mat

h C

halle

nge

Choo

se f

acto

rs f

rom

th

e b

ox t

o m

ake

tru

e m

ult

ipli

cati

on

equ

atio

ns.

3

810

5

608

40

2

6 2,

003

9

7

4,00

5

4

90

6

30

6

2

5,

002

8

1.

3×

40

2 =

1,2

06

2.

5×

30

6 =

1,5

30

3.

7×

20

03 =

14,

021

4.

4×

81

0 =

3,2

40

5.

6×

4,

005

= 2

4,03

0

6.

6×

30

6 =

1,8

36

7.

8×

5,

002

= 4

0,01

6

8.

9×

60

8 =

5,4

72

4NS3

.0, 4

MR2

.1

038_

042_

C07_

L07_

1058

41.in

dd P

age

42 5

/8/1

0 5

:49:

18 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/W

orkb

ook

Nam

e D

ate

Gra

de 4

50

C

hapt

er 7

Usi

ng

the

wor

d b

ank

bel

ow, c

omp

lete

eac

h s

ente

nce

by

wri

tin

g th

e co

rrec

t w

ord

or

wor

ds

in t

he

bla

nk.

addi

tion

divi

sion

estim

ate

mul

tiplic

atio

npr

oduc

tsu

btra

ctio

nw

hole

num

bers

1.

The

ter

m d

ivis

ion

mea

ns t

o sp

lit a

num

ber

into

equ

al

part

s.

2. m

ult

ipli

cati

on is

an

oper

atio

n on

tw

o nu

mbe

rs t

o fin

d th

eir

prod

uct.

It ca

n be

tho

ught

of

as r

epea

ted

addi

tion.

3.

An o

pera

tion

on t

wo

or m

ore

adde

nds

that

is e

qual

to

a su

m is

add

itio

n .

4.

An e

stim

ate

is a

num

ber

clos

e to

an

exac

t va

lue;

it in

dica

tes

abou

t ho

w m

uch.

5. su

btr

acti

on is

an

oper

atio

n on

tw

o nu

mbe

rs t

hat

tells

the

di

ffere

nce,

whe

n so

me

or a

ll ar

e ta

ken

away

.

6.

A p

rod

uct

is t

he a

nsw

er t

o a

mul

tiplic

atio

n pr

oble

m. I

t al

so

refe

rs t

o ex

pres

sing

a n

umbe

r as

a p

rodu

ct o

f its

fac

tors

.

7.

The

num

bers

0, 1

, 2, 3

, 4 a

re w

hol

e n

um

ber

s .

Voca

bula

ry T

est

7

043_

071_

C07_

CA_1

0584

1.ind

d Pa

ge 5

0 5

/8/1

0 5

:39:

31 P

M s-

74us

er/V

olum

es/1

06/G

O000

16_r

3/Gr

ade_

4%0/

Appli

catio

n_Fil

es%

0/CR

M_ch

07/A

sses

smen

t

Answers (Lesson 7-7 and Vocabulary Test)


P rinter P DF

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

An

swer

s


Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill, a

div

isio

n of

The

McG

raw

-Hill

Com

pani

es, I

nc.

Gra

de 4

51

C

hapt

er 7

Rea

d e

ach

qu

esti

on a

lou

d t

o th

e st

ud

ent.

Th

en w

rite

th

e st

ud

ent’

s an

swer

s on

th

e li

nes

bel

ow t

he

qu

esti

on.

Arr

ange

4 g

rou

ps

of 3

bas

e-te

n b

lock

s an

d 2

on

es.

1.

How

man

y gr

oups

do

we

have

? H

ow m

any

obje

cts

are

in e

ach

grou

p?

4 gr

oup

s; 3

2 ob

ject

s

2.

Use

the

blo

cks

to s

how

the

pro

duct

of

2 ×

32.

Stu

den

t sh

ould

mov

e 2

grou

ps

of 3

2 b

lock

s

toge

ther

to

show

64

tota

l b

lock

s.

3.

Tell

how

you

got

you

r an

swer

.

Sam

ple

an

swer

: I

pu

t 2

grou

ps

of 3

2 b

lock

s

toge

ther

to

get

6 te

ns

and

4 o

nes

.

4.

Use

the

blo

cks

to s

how

the

pro

duct

of

4 ×

32.

Stu

den

t sh

ould

mov

e 4

grou

ps

of 3

2 b

lock

s

toge

ther

to

show

128

tot

al b

lock

s.

5.

Tell

how

you

got

you

r an

swer

.

Sam

ple

an

swer

: I

pu

t 4

grou

ps

of 3

2 b

lock

s to

geth

er t

o ge

t

12 t

ens

and

8 o

nes

. I r

egro

up

ed 1

0 te

ns

to g

et 1

hu

nd

red

, 2

ten

s, a

nd

8 o

nes

, or

128.

6.

Wha

t is

the

pro

duct

of

2 ×

4?

2 ×

40?

2 ×

400

?

8; 8

0; 8

00

7

. D

escr

ibe

the

patt

ern

you

see

in E

xerc

ise

6.

Sam

ple

an

swer

: Ea

ch t

ime

you

ad

d a

zer

o to

the

fact

or, y

ou a

dd

a z

ero

to t

he

pro

du

ct.

Ora

l Ass

essm

ent

7

Assessment

Nam

e D

ate

043_

071_

C07

_CA

_105

841.

indd

Pag

e 51

5/7

/10

10:

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essm

ent

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ate

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Gra

de 4

52

C

hapt

er 8

8.

Elen

a is

cle

anin

g he

r ro

om. S

he c

an f

it 25

boo

ks o

n ea

ch s

helf

of

her

book

case

. The

re a

re 6

she

lves

. How

man

y bo

oks

will

fit

on t

he

book

case

?

150

boo

ks

9.

How

man

y bo

oks

wou

ld f

it on

the

boo

kcas

e if

ther

e w

ere

5 sh

elve

s?

125

boo

ks

10.

Tell

how

you

got

you

r an

swer

.

25 ×

5 =

125

11.

If sh

e co

uld

fit 2

0 bo

oks

on a

she

lf an

d th

ere

wer

e 4

shel

ves,

how

m

any

book

s co

uld

she

fit?

80 b

ooks

12.

Tell

how

you

got

you

r an

swer

.

20 ×

4 =

80

13.

If sh

e co

uld

fit 3

0 bo

oks

on a

she

lf an

d th

ere

wer

e 4

shel

ves,

how

m

any

book

s co

uld

she

fit?

120

boo

ks

14.

Tell

how

you

got

you

r an

swer

.

30 ×

4 =

120

7O

ral A

sses

smen

t (c

ontin

ued)

043_

071_

C07

_CA

_105

841.

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e 52

5/7

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10:

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Ass

essm

ent

Answers (Oral Assessment)


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1. 12 2. $6 3. 20 4. $24

5. $50

6. thousands

7. ones

8. tens

9. hundreds

10. 1: thousands 6: hundreds 4: tens 5: ones

11. 40 12. 400 13. 3,000 14.

$40,000

15. 10,000

people

Chapter PretestPage 45

1. 6,300 2. 20,000

3. 60 4. 111 5. 196 6. $43,587

7. 535 8. 1,600 9. Yes 10. No

11. No

12. 8 × 1,000 =

8,000

13. $5,000 × 3 =

$15,000

14. 800 × 5 =

4,000

15. $618

16. 480

minutes

Quiz 1 Page 46

Diagnostic AssessmentPage 44

1. 15

150 1,500 15,000 2. 350 3. 80 4. 3 5. 60 6. 72,000

7. 27,000 8. 1,800

9. $200

10. 120 phone

calls

11. Yes

Chapter 7 Assessment Answer Key


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Quiz 2 Page 47

Quiz 3Page 48

Mid-Chapter ReviewPage 49

1. D

2. J

3. B

4. J

5. D

6. 40

books

7. $900

8. 66 9. $96

10. $10

1. $1,593 2. 2,485

3. $5,152 4. 1,503

5. $35,021 6. 5,424

7. 32,004

8. 3,972

9. $20; work

backward

10. $22; make

a table

11. 27 seeds;

look for

a pattern

1. 6 × 400 = 2,400

2. 900 × 7 = 6,300

3. 7 × 2,000 = 14,000

4. 2 × 1,000 = 2,000

5. 4,000 × 4 = 16,000

6. 168

7. 190

8. 648

9. 138

10. 315

11. about 3,000

miles

12. about

$4,000



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Form 1Page 55 Page 56

Form 2APage 57

1. B

2. F

3. C

4. F

5. C

6. F

7. C

8. F

1. C

2. G

3. A

4. G

5. B

6. G

7. B

8. H

9. A

10. J

11. A


12. G

13. B

14. J

15. C

16. J

17. B

18. G

(continued on the next page)


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Form 2A (continued)Page 58

1. B

2. F

3. B

4. G

5. B

6. F

7. B

8. F

9. A

10. F

Page 60Form 2BPage 59

11. C

12. H

13. C

14. F

15. A

16. G

9. A

10. F

11. B

12. J

13. C

14. G

15. B

16. H




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Form 2CPage 61

1. $90

2. 150 minute

3.

5 × 200 =

1,000

4.

2 × 300 =

600

5. 210

students

6. 3,500

7. 6,000

8. 3,618

9. 432

10. 50 books

Page 62Form 2DPage 63

1. $90

2. 150

minutes

3.

5 × 200 =1,000

4.

2 × 300 =600

5. 210

students

6. 3,500

7. 6,000

8. 50 books

11. 162

12. 72

members

13. 50 × 6 = 300

14. 7 × 9 ones,

7 × 3 tens,

7 × 1 hundred = 973

15. 2,400

16. 600

17. 240; 2,400; 24,000

18. 16,000


(continued on the next page)


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Form 2D (continued)Page 64

Form 3Page 65 Page 66

1. $150

2. 420

minutes

3.

5 × 200 =

1,000

4.

2 × 200 =

400

5. 600 pencils

6. 3,500

7. 6,000

8. 50 books

9. 162

10. 72

members

11.

50 × 6 =

300

12. 7 × 9 ones,

7 × 3 tens,

7 × 1 hundred

and 973

13. $3,600

14. 24,000

15. 240; 2,400; 24,000

16. 16,000

9. 162

10. 72

members

11. 50 × 6 = 300

12. 7 × 9 ones,

7 × 3 tens,

7 × 1 hundred

and 973

13. $3,600

14. 8

15. 240; 2,400; 24,000

16. 16,000



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Chapter 7 Assessment Answer KeyPage 67, Extended-Response Test

Scoring Rubric

Level Specific Criteria

4 The student demonstrates a thorough understanding of the mathematics concepts and/or procedures embodied in the task. The student has responded correctly to the task, used mathematically sound procedures, and provided clear and complete explanations and interpretations. The response may contain minor flaws that do not detract from the demonstration of a thorough understanding.

3 The student demonstrates an understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is essentially correct with the mathematical procedures used and the explanations and interpretations provided demonstrating an essential but less than thorough understanding. The response may contain minor errors that reflect inattentive execution of the mathematical procedures or indications of some misunderstanding of the underlying mathematics concepts and/or procedures.

2 The student has demonstrated only a partial understanding of the mathematics concepts and/or procedures embodied in the task. Although the student may have used the correct approach to obtaining a solution or may have provided a correct solution, the student’s work lacks an essential understanding of the underlying mathematical concepts. The response contains errors related to misunderstanding important aspects of the task, misuse of mathematical procedures, or faulty interpretations of results.

1 The student has demonstrated a very limited understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is incomplete and exhibits many flaws. Although the student has addressed some of the conditions of the task, the student reached an inadequate conclusion and/or provided reasoning that was faulty or incomplete. The response exhibits many errors or may be incomplete.

0 The student has provided a completely incorrect solution or uninterpretable response, or no response at all.


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An

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Chapter 7 Assessment Answer KeyPage 67, Extended-Response Test

Sample Answers

In addition to the scoring rubric found on page A27, the following sample answers may be used as guidance in evaluatingopen-ended assessment items.

1. To find 4 × 9,000 you can use the basic fact that 4 × 9 = 36. Then you need to add 3 zeros in order to make it 36,000.

Pattern: 4 × 9 = 36 4 × 90 = 360 4 × 900 = 3,600 4 × 9000 = 36,000

2. When you figure out that 20 × 2 = 40 and knowing that there are 30 children, you can confirm that the claim is reasonable. If there are 30 students and 40 packs of crayons, there are more than enough packs for each child to get one pack of crayons.

3. From each of the 4 fourth-grade classrooms, 10 students are getting their school pictures taken on Monday. How many students are getting their school pictures taken on Monday? [Answer: 40]

4. Sample answer: The multiplication problem 201 × 4 = 804 does not belong because it is the only problem that does not involve regrouping.


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STPPage 69

1. A

2. F

3. C

Page 70 Page 71


9. B

10. G 11. 64,000 12. 210 13.

14. 138

15. 13,164

4. G

5. A

6. G

7. B

8. H

2 × 300 = 600


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