use place value to add and subtract name - dges...94 lesson 9 use place value to add and subtract ©...

©Curriculum Associates, LLC Copying is not permitted. 93Lesson 9 Use Place Value to Add and Subtract

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Prerequisite: Add and Subtract by Breaking Apart Numbers

Study the example showing two ways to break apart numbers to subtract them. Then solve problems 1–8.

Break apart the numbers. Show the hundreds, tens, and ones.

1 324 5 1 1

2 497 5 1 1

Write the numbers.

3 2 hundreds 1 5 tens 1 6 ones 5

4 8 hundreds 1 0 tens 1 4 ones 5

Example

369 2 154

300 1 60 1 9 100 1 50 1 4

9 ones 2 4 ones 5 5 ones

6 tens 2 5 tens 5 1 ten

3 hundreds 2 1 hundred 5 2 hundreds

5

10

1 200

215

369 2 154 5 215

Use Place Value to Add and Subtract

Lesson 9

©Curriculum Associates, LLC Copying is not permitted.94 Lesson 9 Use Place Value to Add and Subtract

Solve.

5 133 1 214

100 1 30 1 3 200 1 10 1 4

Add the ones.

Add the tens.

Add the hundreds.

Result:

133 1 214 5

6 789 2 506

700 1 80 1 9 500 1 0 1 6

Subtract the ones.

Subtract the tens.

Subtract the hundreds.

Result:

789 2 506 5

7 517 1 321

8 845 2 243


Name: Lesson 9

Use Place Value to Add

Study the example problem showing how regrouping can help you add three-digit numbers. Then solve problems 1–8.

Fill in the blanks to add.

1 124 1 253

377

2 1

4 5 9

1 2 6 0

1

Example

On the weekend, 172 adults and 253 children went to the fair. How many people went to the fair on the weekend?

172 1 253

5 120 300

425

2 ones 1 3 ones 7 tens 1 5 tens 1 hundred 1 2 hundreds

Regroup 10 tens

1

1 7 2

1 2 5 3

4 2 5

4 ones 1 3 ones 5 7 ones

2 tens 1 5 tens 5 7 tens

1 hundred 1 2 hundreds 5 3 hundreds


Solve. Fill in the blanks to add.

3 631 1 368

4 167 1 208

5 7 151 1 154

2 2 8

1 1 3 6

6 82 5 1

1 2 5 4

5

1 0 0

4 0 0

368

1 245

300 1 1 8

1 40 1 5

500 1 100 1 5

1 1 7 1 0 1

1 1 5

600 1 1 1 1 60 1 8

900 1 90 1 5


Name: Lesson 9

Use Place Value to Subtract

Study the example showing how place value can help you subtract three-digit numbers. Then solve problems 1–6.

Fill in the blanks to add.

1 352 2 147

2 459 2 260

Example

The balloon artist at the fair sold 253 balloons. Of those, 129 were monster heads. How many balloons were not monster heads?

253 2 129

124 balloons were not monster heads.

459 5 hundreds 1 tens 1 9 ones or 3 hundreds 1 15 tens 1 ones 260 5 hundreds 1 tens 1 ones

Subtract hundreds: hundred Subtract tens: tens Subtract ones: ones 459 2 260 5

352 5 hundreds 1 tens 1 2 ones or hundreds 1 4 tens 1 ones 147 5 hundred 1 4 tens 1 ones

Subtract hundreds: hundreds Subtract tens: 0 tens Subtract ones: ones 352 2 147 5

253 5 2 hundreds 1 5 tens 1 3 ones or 2 hundreds 1 4 tens 1 13 ones 129 5 1 hundred 1 2 tens 1 9 ones 253 2 129 5 1 hundred 1 2 tens 1 4 ones


Solve.

3 621 2 570

4 905 2 425

Subtract. Regroup if needed.

5

6

Use this space to rewrite the numbers if you want to.

636 2 158

252 2 136

905 5 hundreds 1 tens 1 ones or hundreds 1 10 tens 1 ones 425 5 hundreds 1 tens 1 ones

Subtract hundreds: hundreds Subtract tens: tens Subtract ones: ones 905 2 425 5

621 5 hundreds 1 tens 1 one or 5 hundreds 1 12 tens 1 one 570 5 hundreds 1 tens 1 ones

Subtract hundreds: hundreds Subtract tens: tens Subtract ones: one 621 2 570 5


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Add On to Subtract

Study the example showing how to subtract by adding on. Then solve problems 128.

Fill in the blanks to show adding on to subtract.

1 75 1 5 1 5 100, so 100 2 75 5

2 114 1 6 1 1 5 132, so

132 2 114 5

3 162 1 8 1 1 1 5 201, so 201 2 162 5

Solve.

4 501 2 470 5

Explain how you can start with 470 and add on to solve.

Example

310 students went to the art museum. 195 students left at 9 a.m. The others left at 9:30 a.m. How many students left for the museum at 9:30 a.m.?

310 2 195 5 , or 195 1 5 310

Add on to 195 to get to 310. Add 5: 195 1 5 5 200 Add 100: 200 1 100 5 300 Add 10: 300 1 10 5 310 5 1 100 1 10 5 115195 1 115 5 310 310 2 195 5 115

So, 115 students left at 9:30.

Lesson 9

190

5100

10

200 210 220 230 240 250 260 270 280 290 300 310


Solve.

5 100 2 78 5


6 200 2 96 5


7 305 2 296 5


8 303 2 196 5



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3 Students at Haley’s school collected labels from cans. The third grade collected 278 labels and the fourth grade collected 219 labels. How many labels did they collect in all?

Show your work.

Solution:

2 For the recycling project, Karen’s class collected 234 cans and 120 cardboard boxes. How many more cans than boxes did they collect? Which two number sentences could you use to solve the problem.

A 234 1 5 120

B 120 1 5 234

C 1 234 5 120

D 234 2 120 5

1 For the recycling project, Ben’s class collected 192 glass bottles and 340 plastic bottles. How many bottles did they collect in all? Which two number sentences could you use to solve the problem.

A (100 1 90 1 2) 1 (300 1 40) 5

B (300 1 4) 1 (100 1 9 1 2) 5

C (1 1 3) 1 (9 1 4) 1 (2 1 0) 5

D (100 1 300) 1 (90 1 40) 1 (2 1 0) 5

Use Place Value to Add and Subtract

Solve the problems.

Lesson 9

How does understanding place value help with this problem?

Can you estimate to figure out what the answer could be?

Do you need to regroup?


6 Look at problem 5. How many more children than adults went to the concert?

Show your work.

Solution:

Solve.

4 At the recycling fair, 193 glasses of orange juice and 270 glasses of lemonade were sold. How many more glasses of lemonade were sold than glasses of orange juice?

Show your work.

Solution:

5 On the last day of the recycling fair, 257 children and 145 adults went to the concert. How many people went to the concert?

A 302 C 402

B 392 D 492

Cindy chose A as the correct answer. How could she get that answer?

Could you use adding on to solve this problem?

Did Cindy regroup?

Will your answer be more or less than 100?

use place value to add and subtract name - dges...94 lesson 9 use place value to add and subtract ©...

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