Use Place Value to Add
Name
4.5
?
Number and Operations—3.4.A Also 3.4.B, 3.5.A MATHEMATICAL PROCESSES 3.1.D, 3.1.F
Use Place Value to Add
Essential Question
How can you use place value to add 3-digit numbers?
Unlock Unlock the the Problem Problem Dante is planning a trip to Illinois. His airplane leaves from Dallas, Texas and stops in Tulsa, Oklahoma. Then it flies from Tulsa to Chicago, Illinois. How many miles does Dante fly?
Chicago
585 miles Tulsa
236 miles
Use place value to add two addends.
Add. 236 + 585
Dallas
Estimate. 200 + 600 = __ STEP 1
STEP 2
STEP 3
Add the ones. Regroup the ones as tens and ones.
Add the tens. Regroup the tens as hundreds and tens.
Add the hundreds.
1
2 3 6 +5 8 5 __
11 2 3 6 +5 8 5 __ 2 1
1 1
2 3 6 +5 8 5 __ 1
236 + 585 = _
ERROR Alert
So, Dante flies _ miles.
Remember to add the regrouped ten and hundred.
© Houghton Mifflin Harcourt Publishing Company
Since _ is close to the estimate of _ , the answer is reasonable. You can also use the Commutative Property of Addition to check your work. Change the order of the addends and find the sum.
+5 8 5 23 6 __
Module 4
125
Example Use place value to add three addends. Add. 173 + 102 + 328 Estimate. 200 + 100 + 300 = _ STEP 1 Add the ones.
STEP 2 Add the tens.
Regroup the ones as tens and ones.
STEP 3 Add the hundreds.
Regroup the tens as hundreds and tens.
1
1 1
173 102 + 3 28 __
1 1
173 102 + 3 28 __ 3
173 102 + 3 28 __ 03
So, 173 + 102 + 328 = _. Math Talk
Share Share and and Show Show
Mathematical Processes
Estimate. Then find the sum. Estimate: _
1.
2.
Estimate: _
Explain how you can compute 403 + 201 mentally.
276 + 410 + 314 = __
251 + 345 __ Problem Problem Solving Solving
3.
253 + 376
4.
654 + 263
5.
321 + 439
6.
482 + 323
7.
182 + 321
8.
701 + 108
9.
543 + 372
10.
516 + 326
Algebra Find the unknown digits. 11.
1
4
+__ 3 257 126
12.
7 +__ 6 4 986
13.
2 +__ 29 682
14.
3 +__ 17 903
© Houghton Mifflin Harcourt Publishing Company
Practice: Copy and Solve Estimate. Then solve.
Name
Unlock Unlock the the Problem Problem 15.
Multi-Step A plane flew 187 miles from New York City, New York to Boston, Massachusetts. It then flew 273 miles from Boston to Philadelphia, Pennsylvania. The plane flew the same distance on the return trip. How many miles did the plane fly?
Boston
273 miles 187 miles New York City Philadelphia
A
460 miles
C
900 miles
B
820 miles
D
920 miles
a.
What do you need to find? ______
b.
What is an estimate of the total distance?
c.
Show the steps you used to solve the problem.
d.
Complete the sentences. The plane flew _ miles from New York City to Boston. Then it flew _ miles from Boston to Philadelphia. It flew _ miles from New York City to Boston to Philadelphia. The total distance is _ miles round trip.
e.
© Houghton Mifflin Harcourt Publishing Company
16.
Evaluate The Colorado River is 119 miles longer than the Kansas River. The Kansas River is 743 miles long. How long is the Colorado River?
17.
Fill in the bubble for the correct answer choice above. Multi-Step Mr. Miller drove 568 miles last week. This week he drove 308 miles on Tuesday and 97 miles on Wednesday. What was the number of miles he drove in these two weeks?
Module 4 • Lesson 5
127
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. Use place value to solve. 18.
19.
20.
Joshua and Daniel’s hot air balloon rises 218 feet. Then it rises 124 feet more. How many feet did the hot air balloon rise in all? A
332 feet
C
342 feet
B
334 feet
D
432 feet
Emily watched two movies. The first movie was 125 minutes long. The second movie was 112 minutes long. How many minutes did Emily spend watching the two movies? A
230 minutes
B
237 minutes
C
257 minutes
D
335 minutes
Multi-Step Ava saved 245 pennies in April. She saved 365 pennies in May and saved 132 pennies June. How many pennies did Ava save in all? A
610
C
700
B
632
D
742
21.
128
The Willard family collected cans for recycling. They collected 451 cans on Thursday, 246 cans on Friday, and 222 cans on Saturday. How many cans did the Willards collect for recycling on those three days? A
819
C
468
B
919
D
697
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
H o mewo rk and Practice
4.5
Number and Operations—3.4.A Also 3.4.B, 3.5.A MATHEMATICAL PROCESSES 3.1.D, 3.1.F
Name
Use Place Value to Add
Estimate. Then find the sum. 1.
Estimate: _
2.
679 + 294 _
3.
Estimate: _
365 + 482 _
4.
312 + 397 _
5.
Estimate: _
Estimate: _
Estimate: _ 175 + 237 _
6.
368 105 + 232 __
Estimate: _ 421 113 + 462 __
Problem Problem Solving Solving
© Houghton Mifflin Harcourt Publishing Company
7.
Mr. Conti drove 132 miles on Highway 9. He then drove 179 miles on Highway 16. How many miles did he drive altogether?
8.
A bus takes a route from New York City to Washington, D.C. that is 226 miles. How many miles is the round trip?
Module 4 • Lesson 5 129
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer.
11.
13.
130
A bookstore sold 453 books on Saturday and 369 books on Sunday. How many books were sold on both days? A
812
B
822
C
722
D
712
A theater has 348 seats on the bottom level and 376 seats in the balcony. How many seats are there? A
724
B
624
C
714
D
614
Multi-Step A football field has two side lengths of 300 feet long and two side lengths of 160 feet wide. Josh jogs around all four sides of the field. Which is the distance Josh runs? A
320 feet
B
600 feet
C
920 feet
D
820 feet
10.
12.
14.
Sandra drove 121 miles from San Diego to Los Angeles. The next day she drove 382 miles from Los Angeles to San Francisco. How many miles did she drive? A
403 miles
B
502 miles
C
513 miles
D
503 miles
Julie had to take two different planes on her trip. The first plane had 234 passengers. The second plane had 167 passengers. How many passengers were on both flights? A
411
C
391
B
301
D
401
Multi-Step The distance between each base on a baseball field is 90 feet. Which is the total distance between all four bases? A
180 feet
B
360 feet
C
320 feet
D
270 feet
© Houghton Mifflin Harcourt Publishing Company
9.
4.5
?
Number and Operations—3.4.A Also 3.4.B, 3.5.A MATHEMATICAL PROCESSES 3.1.D, 3.1.F
Use Place Value to Add
Essential Question
How can you use place value to add 3-digit numbers?
Unlock Unlock the the Problem Problem Dante is planning a trip to Illinois. His airplane leaves from Dallas, Texas and stops in Tulsa, Oklahoma. Then it flies from Tulsa to Chicago, Illinois. How many miles does Dante fly?
Chicago
585 miles Tulsa
236 miles
Use place value to add two addends.
Add. 236 + 585
Dallas
Estimate. 200 + 600 = __ STEP 1
STEP 2
STEP 3
Add the ones. Regroup the ones as tens and ones.
Add the tens. Regroup the tens as hundreds and tens.
Add the hundreds.
1
2 3 6 +5 8 5 __
11 2 3 6 +5 8 5 __ 2 1
1 1
2 3 6 +5 8 5 __ 1
236 + 585 = _
ERROR Alert
So, Dante flies _ miles.
Remember to add the regrouped ten and hundred.
© Houghton Mifflin Harcourt Publishing Company
Since _ is close to the estimate of _ , the answer is reasonable. You can also use the Commutative Property of Addition to check your work. Change the order of the addends and find the sum.
+5 8 5 23 6 __
Module 4
125
Example Use place value to add three addends. Add. 173 + 102 + 328 Estimate. 200 + 100 + 300 = _ STEP 1 Add the ones.
STEP 2 Add the tens.
Regroup the ones as tens and ones.
STEP 3 Add the hundreds.
Regroup the tens as hundreds and tens.
1
1 1
173 102 + 3 28 __
1 1
173 102 + 3 28 __ 3
173 102 + 3 28 __ 03
So, 173 + 102 + 328 = _. Math Talk
Share Share and and Show Show
Mathematical Processes
Estimate. Then find the sum. Estimate: _
1.
2.
Estimate: _
Explain how you can compute 403 + 201 mentally.
276 + 410 + 314 = __
251 + 345 __ Problem Problem Solving Solving
3.
253 + 376
4.
654 + 263
5.
321 + 439
6.
482 + 323
7.
182 + 321
8.
701 + 108
9.
543 + 372
10.
516 + 326
Algebra Find the unknown digits. 11.
1
4
+__ 3 257 126
12.
7 +__ 6 4 986
13.
2 +__ 29 682
14.
3 +__ 17 903
© Houghton Mifflin Harcourt Publishing Company
Practice: Copy and Solve Estimate. Then solve.
Name
Unlock Unlock the the Problem Problem 15.
Multi-Step A plane flew 187 miles from New York City, New York to Boston, Massachusetts. It then flew 273 miles from Boston to Philadelphia, Pennsylvania. The plane flew the same distance on the return trip. How many miles did the plane fly?
Boston
273 miles 187 miles New York City Philadelphia
A
460 miles
C
900 miles
B
820 miles
D
920 miles
a.
What do you need to find? ______
b.
What is an estimate of the total distance?
c.
Show the steps you used to solve the problem.
d.
Complete the sentences. The plane flew _ miles from New York City to Boston. Then it flew _ miles from Boston to Philadelphia. It flew _ miles from New York City to Boston to Philadelphia. The total distance is _ miles round trip.
e.
© Houghton Mifflin Harcourt Publishing Company
16.
Evaluate The Colorado River is 119 miles longer than the Kansas River. The Kansas River is 743 miles long. How long is the Colorado River?
17.
Fill in the bubble for the correct answer choice above. Multi-Step Mr. Miller drove 568 miles last week. This week he drove 308 miles on Tuesday and 97 miles on Wednesday. What was the number of miles he drove in these two weeks?
Module 4 • Lesson 5
127
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. Use place value to solve. 18.
19.
20.
Joshua and Daniel’s hot air balloon rises 218 feet. Then it rises 124 feet more. How many feet did the hot air balloon rise in all? A
332 feet
C
342 feet
B
334 feet
D
432 feet
Emily watched two movies. The first movie was 125 minutes long. The second movie was 112 minutes long. How many minutes did Emily spend watching the two movies? A
230 minutes
B
237 minutes
C
257 minutes
D
335 minutes
Multi-Step Ava saved 245 pennies in April. She saved 365 pennies in May and saved 132 pennies June. How many pennies did Ava save in all? A
610
C
700
B
632
D
742
21.
128
The Willard family collected cans for recycling. They collected 451 cans on Thursday, 246 cans on Friday, and 222 cans on Saturday. How many cans did the Willards collect for recycling on those three days? A
819
C
468
B
919
D
697
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
H o mewo rk and Practice
4.5
Number and Operations—3.4.A Also 3.4.B, 3.5.A MATHEMATICAL PROCESSES 3.1.D, 3.1.F
Name
Use Place Value to Add
Estimate. Then find the sum. 1.
Estimate: _
2.
679 + 294 _
3.
Estimate: _
365 + 482 _
4.
312 + 397 _
5.
Estimate: _
Estimate: _
Estimate: _ 175 + 237 _
6.
368 105 + 232 __
Estimate: _ 421 113 + 462 __
Problem Problem Solving Solving
© Houghton Mifflin Harcourt Publishing Company
7.
Mr. Conti drove 132 miles on Highway 9. He then drove 179 miles on Highway 16. How many miles did he drive altogether?
8.
A bus takes a route from New York City to Washington, D.C. that is 226 miles. How many miles is the round trip?
Module 4 • Lesson 5 129
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer.
11.
13.
130
A bookstore sold 453 books on Saturday and 369 books on Sunday. How many books were sold on both days? A
812
B
822
C
722
D
712
A theater has 348 seats on the bottom level and 376 seats in the balcony. How many seats are there? A
724
B
624
C
714
D
614
Multi-Step A football field has two side lengths of 300 feet long and two side lengths of 160 feet wide. Josh jogs around all four sides of the field. Which is the distance Josh runs? A
320 feet
B
600 feet
C
920 feet
D
820 feet
10.
12.
14.
Sandra drove 121 miles from San Diego to Los Angeles. The next day she drove 382 miles from Los Angeles to San Francisco. How many miles did she drive? A
403 miles
B
502 miles
C
513 miles
D
503 miles
Julie had to take two different planes on her trip. The first plane had 234 passengers. The second plane had 167 passengers. How many passengers were on both flights? A
411
C
391
B
301
D
401
Multi-Step The distance between each base on a baseball field is 90 feet. Which is the total distance between all four bases? A
180 feet
B
360 feet
C
320 feet
D
270 feet
© Houghton Mifflin Harcourt Publishing Company
9.
