We included **HMH Into Math Grade 3 Answer Key PDF** **Module 10 Lesson 2 Use Place Value to Add **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 10 Lesson 2 Answer Key Use Place Value to Add

I Can use place value and regrouping to add 2- and 3-digit numbers.

**Spark Your Learning**

The library has 1,000 travel books. There are fewer than 100 United States travel books. The rest of the books are international travel books. How many United States travel books and international travel books could the library have?

Write an equation to model the problem. Show your work.

Answer:

The library has 1,000 travel books. There are fewer than 100 United States travel books.

fewer than 100 be 90

let n be the international books

n + 90 = 1000

n = 1000 – 90

n = 910

**Turn and Talk** Suppose the library has 276 United States travel books. How many international travel books does the library have? How do you know?

Answer:

let n be the international travel books

n + 276 = 1000

n = 1000 – 276

n = 724

**Build Understanding**

Question 1.

There are 398 adults and 54 children on the ferry from Oregon to Washington. How many people are on the ferry?

A. How can you represent the problem in the chart?

Answer:

B. What do you notice when you add the digits in each column?

Answer:

Connect to Vocabulary

To regroup is to exchange amounts of equal value to rename a number.

Examples:

17 ones → 1 ten 7 ones

13 tens → 1 hundred 3 tens

C. How can you regroup in each column? Record. Explain how you regrouped.

Think: Regroup if there are 10 or more ones or tens.

Answer:

D. How many people are on the ferry?

Answer:

398 + 54 = 452 are on the ferry

Question 2.

The Delgados travel by airplane from Houston, Texas, to Orlando, Florida. Then they travel by bus from the airport to a hotel. Distances are shown on the map. How many miles do the Delgados travel?

A. What equation can you write to model the problem?

Answer:

let the total distance be n

Distance travelled in flight is 849

Distance travelled in bus is 27 miles

n = 849 + 27

n = 876

B. Write the problem in the chart. Add the ones. How can you regroup and record the ones? Explain. Add the tens. Then add the hundreds. Record.

Answer:

C. How many miles do the Delgados travel?

Answer:

Delgados travel 849 + 27 = 876

that they travel.

D. Show how can you use expanded form and partial sums to check your work. How is this like using place value to add? How is it different?

Answer:

876 is written as 800 + 70 + 6

8 hundreds 7 tens 6 ones.

**Turn and Talk** If the Delgados drive 12 miles from the hotel to a state park, do you need to regroup to find the total number of miles? How do you know?

Answer:

Explanation:

If the distance by bus is 12

then the equation changes by

n = 849 + 12

n = 861

**Step It Out**

Question 3.

Add 457 + 248

A. Add the ones. Regroup the ones as tens and ones.

Answer:

B. Add the tens. Regroup the tens as hundreds and tens.

Answer:

C. Ad the hundreds.

Answer:

D. 457 + 248 = ________

Answer:

457 + 248 = 705

When ones are added then regrouping to tens

then tens are added and regrouped to hundred.

**Turn and Talk** How do you know your answer is reasonable?

Answer:

457 is rounded to 500

248 is rounded to 200

500 + 200 = 700

by this we can say that my answer is reasonable.

**Check Understanding**

Question 1.

The state park has 136 visitors on Saturday and 95 visitors on Sunday. How many people visit the state park on these two days?

Answer:

231 people visit the state park on these two days

Explanation:

The state park has 136 visitors on Saturday and 95 visitors on Sunday.

let n be the unknown

n = 136 + 95

n = 231

**Estimate. Then find the sum.**

Question 2.

Estimate: _________

Answer:

Explanation:

624 rounded to 600

47 is rounded to 50

600 + 50 = 650

Yes, my estimation is reasonable.

Question 3.

Estimate: _________

Answer:

Explanation:

339 is rounded to 300

53 is rounded to 100

300 + 100 = 400

Question 4.

Estimate: _________

Answer:

Explanation:

715 is rounded to 700

198 is rounded to 200

700 + 200 = 900

**On Your Own**

Question 5.

**Model with Mathematics** An airline checks in 196 bags for the first flight of the day and 87 bags for the second flight of the day. How many bags does the airline check in for the first two flights? Write an equation to model the problem.

Answer:

283 bags that the airline check in for the first two flights

Explanation:

An airline checks in 196 bags for the first flight of the day

and 87 bags for the second flight of the day.

let x be the total bags

x = 196 + 87

x = 283

Question 6.

A train has 12 child passengers and 329 adult passengers. How many passengers are on the train?

Answer:

341 passengers are on the train

Explanation:

A train has 12 child passengers and 329 adult passengers.

329 + 12 = 341

**Attend to Precision** Estimate. Then find the sum.

Question 7.

Estimate: ________

Answer:

Explanation:

612 is rounded to 600

75 is rounded to 100

600 + 100 = 700

Question 8.

Estimate: _________

Answer:

Explanation:

548 is rounded to 500

56 is rounded to 100

500 + 100 = 600

Question 9.

Estimate: _________

Answer:

Explanation:

324 is rounded to 300

119 is rounded to 100

300 + 100 = 400

Question 10.

Estimate: _________

Answer:

Explanation:

897 is rounded to 900

54 is rounded to 100

900+ 100 = 1000

Question 11.

Estimate: _________

Answer:

Explanation:

168 is rounded to 200

45 is rounded to 0

200 + 0 = 200

Question 12.

Estimate: _________

Answer:

Explanation:

311 is rounded to 300

206 is rounded to 200

300 + 200 = 500

Question 13.

**Construct Arguments** Do you need to regroup when you add 267 and 582? Explain your thinking.

Answer:

Explanation:

yes, we need to regroup the tens place we can add the ones place

but we cannot add we have to regroup.

Question 14.

Reao Mr. Lopez pays for one airline ticket and for one checked bag, as shown. How much does Mr. Lopez spend?

Answer:

Explanation:

Mr. Lopez pays for one airline ticket and for one checked bag,

Air ticket = 379

Checking bag = 35

379 + 35 = 414

Mr. Lopez spend $414

Question 15.

**Open-Ended** The sum is 564. One addend has 3 digits and the other addend has 2 digits. When you add, you regroup in the tens place. Write an equation to model this problem.

Answer:

474 + 90 = 564

Explanation:

The sum is 564.

Let the 3 digit number be 474

and the 2 digit number = 90

474 + 90 = 564

According to the condition we have regrouped the tens place.

**Attend to Precision** Estimate. Then find the sum.

Question 16.

Estimate: __________

Answer:

Explanation:

119 is rounded to 100

17 is rounded to 0

100 + 0 = 100

Question 17.

Estimate: __________

Answer:

Explanation:

367 is rounded to 400

12 is rounded to 0

400 + 0 = 400

Question 18.

Estimate: __________

Answer:

Explanation:

465 is rounded to 500

179 is rounded to 200

500 + 200 = 700

Question 19.

Estimate: ___________

Answer:

Explanation:

239 is rounded to 200

91 is rounded to 100

300 + 100 = 400

Question 20.

Estimate: ___________

Answer:

Explanation:

201 is rounded to 200

36 is rounded to 0

200 + 0 = 200

Question 21.

Estimate: __________

Answer:

Explanation:

546 is rounded to 500

429 is rounded to 400

500 + 400 = 900

**I’m in a Learning Mindset!**

Is there anything getting in my way of learning place-value strategies to add?

Answer:

- Tip #1: Use place value mats to make reading and writing numbers easier.
- Tip #2: Provide Opportunities to Count by Groups of 10’s and 100’s.
- Tip #3: Use a daily place value warm-up to build confidence.