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.

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.
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?
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?

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

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.

D. How many people are on the ferry?
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?
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.

C. How many miles do the Delgados travel?
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?
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?

Explanation:
If the distance by bus is 12
then the equation changes by
n = 849 + 12
n = 861

Step It Out

Question 3.
A. Add the ones. Regroup the ones as tens and ones.

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

D. 457 + 248 = ________
457 + 248 = 705
When ones are added then regrouping to tens
then tens are added and regrouped to hundred.

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?

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: _________

Explanation:
624 rounded to 600
47 is rounded to 50
600 + 50 = 650
Yes, my estimation is reasonable.

Question 3.
Estimate: _________

Explanation:
339 is rounded to 300
53 is rounded to 100
300 + 100 = 400

Question 4.
Estimate: _________

Explanation:
715 is rounded to 700
198 is rounded to 200
700 + 200 = 900

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.

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?
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: ________

Explanation:
612 is rounded to 600
75 is rounded to 100
600 + 100 = 700

Question 8.
Estimate: _________

Explanation:
548 is rounded to 500
56 is rounded to 100
500 + 100 = 600

Question 9.
Estimate: _________

Explanation:
324 is rounded to 300
119 is rounded to 100
300 + 100 = 400

Question 10.
Estimate: _________

Explanation:
897 is rounded to 900
54 is rounded to 100
900+ 100 = 1000

Question 11.
Estimate: _________

Explanation:
168 is rounded to 200
45 is rounded to 0
200 + 0 = 200

Question 12.
Estimate: _________

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.

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?

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.
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: __________

Explanation:
119 is rounded to 100
17 is rounded  to 0
100 + 0 = 100

Question 17.
Estimate: __________

Explanation:
367 is rounded  to 400
12 is rounded  to 0
400 + 0 = 400

Question 18.
Estimate: __________

Explanation:
465 is rounded  to 500
179 is rounded to 200
500 + 200 = 700

Question 19.
Estimate: ___________

Explanation:
239 is rounded to 200
91 is rounded  to 100
300 + 100 = 400

Question 20.
Estimate: ___________

Explanation:
201 is rounded  to 200
36 is rounded  to 0
200 + 0 = 200

Question 21.
Estimate: __________

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?