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## Texas Go Math Grade 3 Lesson 4.5 Answer Key Use Place Value to Add

**Unlock the 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?

**Use place value to add two addends**

Add. 236 + 585

Estimate: 236 + 585 = _____________

STEP 1:

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

STEP 2:

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

STEP 3:

Add the hundreds

236 + 585 = _________

So, Dante flies _________ miles.

Since _________ is close to the estimate of _________ the answer is reasonable.

ERROR Alert

Remember to add the regrouped ten and hundred.

You can also use the Commutative Property of Addition to check your work. Change the order of the addends and find the sum.

Answer:

821 miles

Commutative property

X+Y = Y+X

585 + 236 = 236 + 585 = 821

585 is rounded to 600 and 236 is rounded to 200

600 + 200 = 800 estimated

Explanation:

236 + 585 = 821

So, Dante flies 821 miles.

Since 821 is close to the estimate of 800 the answer is reasonable.

**Example**

Use place value to add three addends.

Add. 173 + 102 + 328

Estimate. 200 + 100 + 300 = _________

STEP 1:

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

STEP 2:

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

STEP 3:

Add the hundreds.

So, 173 + 102 + 328 = ____________.

Answer: 603

Explanation:

100 + 200 + 300 = 600

173 + 102 + 328 = 603

(173 + 102) + 328 = 173 + (102 + 328) (Associative property (x+y)+z = x+(y+z) )

175 + 328 = 173 +430 = 603

Since 603 is close to the estimate of 600 the answer is reasonable.

**Math Talk**

**Mathematical Processes**

Explain how you can compute 403 + 201 mentally.

Answer: 604

Explanation:

403 is rounded to 400 and 201 is rounded to 200 as they are nearer to hundred

400 + 200 =600

**Share and Show**

**Estimate. Then find the sum.**

Question 1.

Estimate: ____________

251 + 345 = 596

300 + 300 = 600

Answer: 600

Since 596 is close to the estimate of 600 the answer is reasonable.

Explanation:

251 is above 250, so 251 is rounded to 300 and

345 is below 350, so 345 is rounded to 300

the sum of estimated numbers

300 + 300 = 600

Question 2.

Estimate: _____________

276 + 410 + 314 = ___________

Answer: 1000

300 + 400 + 300 = 1000

Explanation:

276 is rounded to 300

410 is rounded to 400

314 is rounded to 300

300 + 400 + 300 = 1000

Since 1000 is same to the estimate of 1000 the answer is equal and reasonable.

**Problem Solving**

**Practice: Copy and Solve Estimate. Then solve.**

Question 3.

253 + 376

Answer: 629

253 + 376 = 629

Explanation:

253 is nearer to 250, so 253 is rounded to 250 and

376 is nearer to 380, so 376 is rounded to 380

the sum of estimated numbers

250 + 380 = 620

Since 629 is close to the estimate of 620 the answer is reasonable.

Question 4.

654 + 263

Answer: 917

654 + 263 = 917

Explanation:

654 is nearer to 655, so 654 is rounded to 655 and

263 is nearer to 265, so 263 is rounded to 265

the sum of estimated numbers

265 + 655 = 920

Since 917 is close to the estimate of 920 the answer is reasonable.

Question 5.

321 + 439

Answer: 760

321 + 439 = 760

Explanation:

321 is rounded to 320 and 439 is rounded to 440

the sum 320 + 440 = 760

Question 6.

482 + 323

Answer:805

482 + 323 = 805

Explanation:

482 is rounded to 500 and 323 is rounded to 300

the sum 500 + 300 = 800

Question 7.

182 + 321

Answer: 503

Explanation:

182 is rounded to 200 and 321 is rounded to 300

the sum 200 + 300 = 500

Since 503 is close to the estimate of 500 the answer is reasonable.

Question 8.

701 + 108

Answer: 809

Explanation:

701 is rounded to 700 and 108 is rounded to 100

the sum 700 + 100 = 800

Since 809 is close to the estimate of 800 the answer is reasonable.

Question 9.

543 + 372

Answer: 915

543 + 372 = 915

Explanation:

543 is rounded to 500 and 372 is rounded to 400

the sum 500 + 400 = 900

Since 915 is close to the estimate of 900 the answer is reasonable.

Question 10.

516 + 326

Answer:

516 + 326 = 842

Explanation:

516 is rounded to 500 and 326 is rounded to 300

the sum 500 + 300 = 800

Since 842 is close to the estimate of 800 the answer is reasonable.

**H.O.T. Algebra Find the unknown digits.**

Question 11.

Answer:

Explanation:

When two numbers are added, the sum is the same regardless of the order of the addends .

Commutative property

124 + 133 = 133 + 124 = 257

Question 12.

Answer:

Explanation:

When two numbers are added, the sum is the same regardless of the order of the addends .

Commutative property

372 + 614 = 614 + 372 = 986

Question 13.

Answer:

Explanation:

When two numbers are added, the sum is the same regardless of the order of the addends .

Commutative property

253 + 429 = 429 + 253 = 682

Question 14.

Answer:

Explanation:

When two numbers are added, the sum is the same regardless of the order of the addends .

Commutative property

386 + 517 = 517 + 386 = 903

**Unlock the Problem**

Question 15.

**H.O.T. 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?

(A) 460 miles

(B) 820 miles

(C) 900 miles

(D) 920 miles

Answer :

Option (D)

Explanation:

A plane flew 187 miles from New York City New York to Boston, Massachusetts,

it then flew 273 miles from Boston to Philadelphia, Pennsylvania.

Total miles the plane fly

187 + 273 + 187 + 273 = 920

a. What do you need to find?

Answer:

Total distance a plane flew

b. What is an estimate of the total distance?

Answer:

900 miles

Explanation:

185 + 275 + 185 + 275 = 920

187 + 273 + 187 + 273 = 920

c. Show the steps you used to solve the problem.

Answer:

187 is rounded to 185 and 273 is rounded to 275 for estimate

the total is 185 + 275 + 185 + 275 = 920

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.

Answer:

The plane flew 187 miles from New York City to Boston.

Then it flew 273 miles from Boston to Philadelphia.

It flew 460 miles from New York City to Boston to Philadelphia.

The total distance is 920 miles round trip.

e. Fill in the bubble for the correct answer choice above.

Answer: (D)

Explanation:

A plane flew 187 miles from New York City New York to Boston, Massachusetts,

it then flew 273 miles from Boston to Philadelphia, Pennsylvania.

Total miles the plane flew

187 + 273 + 187 + 273 = 920

Question 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?

Answer:

862 miles

Explanation:

The Colorado River is 119 miles longer than the Kansas River.

The Kansas River is 743 miles long.

The length of Colorado River

119 +743 = 862

Question 17.

**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?

Answer:

973 miles

Explanation:

Mr. Miller drove 568 miles last week.

This week he drove 308 miles on Tuesday and 97 miles on Wednesday.

the number of miles he drove in these two weeks

568 + (308 + 97)

568 + 405 = 973

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice. Use place value to solve.**

Question 18.

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

(B) 334 feet

(C) 342 feet

(D) 432 feet

Answer:

Option (C)

Explanation:

Joshua and Daniel’s hot air balloon rises 218 feet.

Then it rises 124 feet more.

Total feet the hot air balloon rise in all

218 + 124 = 342

Question 19.

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

Answer:

Option (B)

Explanation:

The first movie was 125 minutes long.

The second movie was 112 minutes long.

Total minutes Emily spent watching the two movie

125 + 112 = 237

Question 20.

**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

(B) 632

(C) 700

(D) 742

Answer:

Option (D)

Explanation:

Ava saved 245 pennies in April.

She saved 365 pennies in May and

saved 132 pennies June.

Total pennies Ava saved in all

245 +365 + 132 =742

**Texas Test Prep**

Question 21.

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

(B) 919

(C) 468

(D) 697

Answer: (B)

Explanation:

They collected 451 cans on Thursday,

246 cans on Friday,

and 222 cans on Saturday.

Total cans the Willards collect for recycling on those three days

451 + 246 + 222 = 919

### Texas Go Math Grade 3 Lesson 4.5 Homework and Practice Answer Key

**Estimate. Then find the sum.**

Question 1.

Estimate: __________

Answer: 973

Estimate: 1000

Explanation:

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

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

Add the hundreds.

Question 2.

Answer: 847

Estimate: 800

Explanation:

Explanation:

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

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

Add the hundreds.

Question 3.

Answer: 709

Estimate: 700

Explanation:

Explanation:

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

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

Add the hundreds.

Question 4.

Answer: 412

Estimate: 400

Explanation:

Explanation:

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

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

Add the hundreds.

Question 5.

Answer: 705

Estimate: 700

Explanation:

Explanation:

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

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

Add the hundreds.

Question 6.

Answer: 996

Estimate: 1000

Explanation:

Explanation:

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

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

Add the hundreds.

**Problem Solving**

Question 7.

Mr. Conti drove 132 miles on Highway 9. He then drove 179 miles on Highway 16. How many miles did he drive altogether?

Answer:

318 miles

Explanation:

Mr. Conti drove 132 miles on Highway 9.

He then drove 179 miles on Highway 16.

Total miles he drove altogether

139 + 179 = 318 miles

Question 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?

Answer:

452 miles

Explanation:

A bus takes a route from New York City to Washington, D.C. that is 226 miles.

Total number of miles round the trip

226 + 226 = 452

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 9.

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

Answer:

Option (B)

Explanation:

A bookstore sold 453 books on Saturday and 369 books on Sunday.

Total books sold on both days

453 + 369 = 822

Question 10.

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

Answer:

Option (D)

Explanation:

Sandra drove 121 miles from San Diego to Los Angeles.

The next day she drove 382 miles from Los Angeles to San Francisco.

Total miles she drove

121 + 382 = 503

Question 11.

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

Answer:

Option (A)

Explanation:

A theater has 348 seats on the bottom level and 376 seats in the balcony

Total seats in balcony

348 + 376 = 724

Question 12.

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

(B) 301

(C) 391

(D) 401

Answer:

Option (D)

Explanation:

The first plane had 234 passengers.

The second plane had 167 passengers.

Number of passengers on both flights

234 + 167 =401

Question 13.

**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

Answer:

Option (C)

Explanation:

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.

Total distance Josh runs

300 + 160 = 460

460 +460 = 900

Question 14.

**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

Answer:

Option (B)

Explanation:

The distance between each base on a baseball field is 90 feet.

The total distance between all four bases

90 + 90 + 90 + 90 = 360 feet