Name 2.32.3Write Write

Numerical Numerical ExpressionsExpressionsLearning Target:Learning Target: Write numerical expressions. Write numerical expressions.

Success Criteria:Success Criteria: • I can write a verbal statement as a numerical expression.• I can write a verbal statement as a numerical expression.• I can use parentheses in an expression appropriately.• I can use parentheses in an expression appropriately.• I can interpret an expression.• I can interpret an expression.

Explore and Grow

Chapter 2 ⎜ Lesson 3 65

Write a real-life problem that can be represented by one of the expressions below. Switch papers with your partner. Which expression represents your partner’s problem? Explain.

7 × (8 + 5) (7 × 8) + 5

Make Sense of Problems How can parentheses change the meaning of an expression? Explain.

© B

ig Id

eas

Lear

ning

, LLC

Elem_GR5_SE_Chapter_02.indb 65Elem_GR5_SE_Chapter_02.indb 65 2/6/18 4:01 PM2/6/18 4:01 PM

Think and Grow: Understand Multiplicative ComparisonThink and Grow: Write and Interpret Expressions

66

Write the words as an expression.

wwo oowo wwwwwwowowwwwwrorrrrrrrrGGGGGGGdnnnnnnw ahhhhhhhhoww andddddddwwwwowowwwwwhohhhSSSSSho and GGrowGGGGGGrrrrooooooowwwwwGGGGGGGGrrrrrrrroooooooowwwwwwwwaaaaaaannnnnnnddddddaaaaaaaannnnnnnndddddddd SSSSSSSShhhhhhhooooooowwwwwSSSSSSSShhhhhhhhoooooooowwwwwwwwSh www rShow and GrowShow and Grow

Example Write the words as an expression.

Example Write the words as an expression. Then interpret the expression.

Add 54 and 97, then multiply by 2.

(54 + 97)

The numerical expression is .

The numerical expression is .

The value of the expression is times the sum 54 + 97.

1. 1. Multiply 8 and 5, then divide by 4.

3. 3. Multiply 3 by the sum of 12 and 3.

2. 2. Multiply the sum of 14 and 18 by 4.

4. 4. Subtract 30 from 50, then divide by 10.

Write the words as an expression. Then interpret the expression.

Remember to include the

parentheses!Divide 10 by the diff erence of 9 and 4.

10 ÷

© B

ig Id

eas

Lear

ning

, LLC

Elem_GR5_SE_Chapter_02.indb 66Elem_GR5_SE_Chapter_02.indb 66 2/6/18 4:01 PM2/6/18 4:01 PM

Chapter 2 ⎜ Lesson 3 67

Name

Write the words as an expression. Then interpret the expression.

5. 5. Add 238 and 12, then multiply by 3. 6. 6. Subtract 15 from 60, then divide by 9.

Apply and Grow: Practice

7. 7. Multiply 5 by the diff erence of 25 and 20.

9. 9. 13 + (4 × 6)

12. 12. Writing Explain how you know which operation to use when writing words as an expression.

8. 8. Add the product of 60 and 4 to the product of 5 and 4.

10. 10. (4 + 8) ÷ 2

13. 13. Number Sense Write the words as an expression. Then use a property of addition to write an equivalent expression.

Add 9 to the sum of 21 and 6.

Write the words as an expression. Then evaluate the expression.

Write the expression in words.

11. 11. Newton has $20. He spends $4 on lunch and $13 at the store. Write an expression to represent the situation.

se Write the

© B

ig Id

eas

Lear

ning

, LLC

Elem_GR5_SE_Chapter_02.indb 67Elem_GR5_SE_Chapter_02.indb 67 2/6/18 4:02 PM2/6/18 4:02 PM

Think and Grow: Modeling Real Life

68

o owSho d G owSSSShhhhhhhoowwwwwwww aannnnndddddd GGGGGrrrrrrrroowwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow14. 14. You make 2 batches of fruit salad.

How many cups of fruit do you use in all?

16. 16. DIG DEEPER Eight students use2 sets of 52 cards to play a game.The cards are divided equallyamong the players. How manycards does each player get?

15. 15. A customer places an online order for a video game that costs $49 and 3 books that each cost $12. Shipping costs $6. What is the total cost of the order?

17. 17. DIG DEEPER How much more does it costto rent 2 adult bikes for 4 hours than a tandembike for 4 hours? Explain.

Example On your turn of a word game, you draw the card shown and create the word MATH. Your word score is the sum of the pointsof the letters you use. How many points do you earn on your turn?

Write an expression.

Think: Add , , , and , then multiply by .

( + + + ) ×

Interpret the expression. Evaluate the expression.

(3 + 1 + 1 + 4) × 3 = ×

=

So, you earn points on your turn.

TRIPLE YOURWORD SCORE!

Fruit Salad 2 cups strawberries 1 cups blueberries2 cups grapes 1 cup pineapple

121

2

Adult: $10/hChild: $9/h

Tandem: $17/h

You earn times as many pointsas the value of your word score.

© B

ig Id

eas

Lear

ning

, LLC

Elem_GR5_SE_Chapter_02.indb 68Elem_GR5_SE_Chapter_02.indb 68 2/6/18 4:02 PM2/6/18 4:02 PM

Name Homework & Practice 2.32.3

Learning Target:Learning Target: Write numerical expressions. Write numerical expressions.

Chapter 2 ⎜ Lesson 3 69

© B

ig Id

eas

Lear

ning

, LLC

Example Write the words as an expression.

Example Write the words as an expression. Then interpret the expression.

Subtract 95 and 88, then multiply by 3.

(95 − 88) The numerical expression is

.6 × (10 + 7)

Multiply 6 by the sum of 10 and 7.

6 × (10 + 7)× 3

The numerical expression is

.The value of the expression is times the diff erence 95 − 88.

(95 – 88) × 33

Write the words as an expression.

1. 1. Add 10 to the quotient of 72 and 8. 2. 2. Subtract 55 from the sum of 124 and 56.

3. 3. Add 14 and 13, then divide by 3.

5. 5. Subtract the product of 5 and 8 from the product of 10 and 9.

4. 4. Subtract 29 from 39, then multiply

by 1

— 2

.

6. 6. Add 15 to the quotient of 60 and 3.

Write the words as an expression. Then interpret the expression.

Write the words as an expression. Then evaluate the expression.

Elem_GR5_SE_Chapter_02.indb 69Elem_GR5_SE_Chapter_02.indb 69 2/6/18 4:02 PM2/6/18 4:02 PM

70

11. 11. DIG DEEPER Write two diff erent expressions that each represent the combined area of the rectangles. Then evaluate the expressions.

12. 12. Modeling Real Life A music teacher replaces the strings on 3 violins, 2 violas, 4 cellos, and 1 bass. There are 4 strings on each of the instruments. How many strings does the teacher replace?

13. 13. DIG DEEPER A customer buys 2 shirts that cost $10 each and a pair of jeans that costs $14. What is the customer’s total after using the coupon?

Write the expression in words.

7. 7. 35 − (14 + 17)

9. 9. Descartes has $9. He works 5 hours and earns $8 each hour. Write an expression to represent the situation.

8. 8. (30 − 20) × 10

10. 10. Open-Ended Write a real-life problem that can be represented by the phrase “5 more than the sum of 15 and 7.”

Review & RefreshSubtract.

15. 15. 6 1

— 3

− 3 1

— 3

= 16. 16. 4 7

— 12

− 1 11

— 12

= 14. 14. 9 3

— 4

− 5 1

— 4

=

23 in.

35 in.

23 in.

35 in.

23 in.

35 in.

YOUR ENTIREPURCHASE

OFF©

Big

Idea

s Le

arni

ng, L

LC

Elem_GR5_SE_Chapter_02.indb 70Elem_GR5_SE_Chapter_02.indb 70 2/6/18 4:02 PM2/6/18 4:02 PM