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## Texas Go Math Grade 3 Lesson 5.3 Answer Key Combine Place Values to Subtract

**Unlock the Problem**

Elena collected 431 bottles for recycling. Pete collected 227 fewer bottles than Elena. How many bottles did Pete collect?

What do you need to find?

Answer: 204

Explanation:

Elena collected 431 bottles for recycling.

Pete collected 227 fewer bottles than Elena.

Number of bottles collected by Pete

431 – 227 = 204

Circle the numbers you need to use.

Answer:

Explanation:

Numbers that are used to circle are Elena collected bottles and Pete collected bottles.

**Combine place values to find the difference.**

A. Subtract. 431 – 227

Estimate. 400 – 200 = ________

STEP 1: Look at the ones place. Since 7 > 1, combine place values. Combine the tens and ones places. There are 31 ones and 27 ones. Subtract the ones. Write 0 for the tens.

Estimate. 400 – 200 = 200

STEP 2:

Subtract the hundreds.

So, Pete collected _________ bottles.

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

Answer:

So, Pete collected 204 bottles.

Since 204 is close to the estimate of 200, the answer is reasonable.

Explanation:

To find a value that is close enough to the right answer,

usually with some thought or calculation involved. is called estimate.

So, the estimate of 204 is 200.

**Math Talk**

**Mathematical Processes**

Explain in why there is a zero in the tens place.

Answer:

Regrouping the numbers for subtracting the higher number from smaller number

B. Subtract. 500 – 173

Estimate. 500 – 175 = ___________

STEP 1:

Look at the ones and tens places. Since 3 > 0 and 7 > 0, combine the hundreds and tens. There are 50 tens. Regroup 50 tens as 49 tens 10 ones. Subtract the ones.

STEP 2:

Subtract the tens.

So, 500 – 173 __________.

Answer:

500 – 173 = 327

**Math Talk**

**Mathematical Processes**

Explain why you combined hundreds and tens.

Answer:

Yes, we need to regroup.

Explanation:

Sometimes we need to regroup the hundreds and the tens.

For example,

352 – 185 = 167

Place value disks can help us figure it out.

Subtract ones from ones first.

But we can’t take away five ones,

We only have 2 ones,

So, let’s regroup.

**Share and Show**

Find 851 – 448 in two ways.

Estimate. 850 – 450 = _________

Estimate. 850 – 450 = 400

450 + 400 = 850

Question 1.

Use place value.

Answer: 403

Estimate: 400

Explanation:

Question 2.

Combine place values

Answer: 403

Estimate: 400

Question 3.

Combine place values to find 406 – 274.

Think: Subtract the ones. Then combine the hundreds and tens places.

Answer: 406

Estimate: 410

Explanation:

subtract first at once place

Then combine the hundreds and tens places

274 + 132 = 406

**Math Talk**

**Mathematical Processes**

Explain how to combine place values

Answer:

Instead of borrowing or regrouping the number for subtracting,

one can combine the place values.

Explanation:

To combine the place values first combine the tens and ones place.

Then subtract to find the difference.

**Estimate. Then find the difference.**

Question 4.

Estimate: _______

Answer: 309

Estimate: 300

Explanation:

600 – 300 = 300

Since 309 is close to the estimate of 300, the answer is reasonable.

Question 5.

Estimate: __________

Answer: 200

Explanation:

700 – 500 = 200

Since 213 is close to the estimate of 200, the answer is reasonable.

Question 6.

Estimate: _________

Answer: 236

Estimate: 230

Explanation:

540 – 310 = 230

Since 236 is close to the estimate of 230, the answer is reasonable.

Question 7.

Estimate: ____________

Answer: 147

Estimate : 150

Explanation:

600 – 450 = 150

Since 147 is close to the estimate of 150, the answer is reasonable.

**Problem Solving**

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

Question 8.

457 – 364

Answer: 93

Explanation:

To find a value that is close enough to the right answer is called estimate.

Estimate: 100

457 – 364 = 93

460 – 360 = 100

Since 93 is close to the estimate of 100 the answer is reasonable.

Question 9.

652 – 341

Answer: 311

Explanation:

To find a value that is close enough to the right answer is called estimate.

652 – 341 = 311

Estimate:

650 – 340 = 310

Since 311 is close to the estimate of 310, the answer is reasonable.

Question 10.

700 – 648

Answer: 52

Explanation:

To find a value that is close enough to the right answer is called estimate.

700 – 648 = 52

700 – 650 = 50

Since 52 is close to the estimate of 50, the answer is reasonable.

Question 11.

963 – 256

Answer: 707

Explanation:

To find a value that is close enough to the right answer is called estimate.

963 – 256 = 707

Estimate:

960 – 250 = 710

Question 12.

When does the combine place values strategy make it easier to find the difference? Explain.

Answer:

**Problem Solving**

**Use Tools Use the table for 13-18.**

Question 13.

The table shows the heights of some roller coasters in the United States. How much taller is Kingda Ka than Titan?

Answer:

211 feet

Explanation:

Height of Kingda ka = 456

Height of Titan = 245

The difference between both

456 – 245 = 211

Question 14.

How many feet shorter is Intimidator 305 than Top Thrill Dragster?

Answer:

115 feet

Explanation:

Height of Top Thrill Dragster = 420

Height of Intimidator = 305

number of feet Intimidator shorter

420 – 305 = 115

Question 15.

Which roller coaster is 175 feet taller than the Titan?

Answer:

Top Thrill Dragster

Explanation:

Height of Titan = 245

Combine both the heights

245 + 175 = 420

So, Top Thrill Dragster is taller than Titan.

Question 16.

**Multi-Step** How much shorter is Top Thrill Dragster than the heights of Titan and Kingda Ka together?

Answer:

281 feet

Explanation:

Height of Titan = 245

Height of Kingda ka = 456

Height of Top Thrill Dragster = 420

245 + 456 = 701 feet

701 – 420 = 281

Question 17.

**H.O.T.** What if a roller coaster was 500 feet tall? Which roller coaster would be 195 feet shorter?

Answer:

Intimidator 305

Explanation:

Suppose the height of roller coaster = 500

If the roller coaster is less then 195, then Intimidator is shorter.

500 – 195 = 305

Question 18.

**Multi-Step** Pose a Problem Look back at Problem 17. Write and solve a similar problem by using different numbers.

Answer:

What if a roller coaster was 500 feet tall? Which roller coaster would be 255 feet shorter?

Answer: Titan

Explanation:

Suppose the height of roller coaster = 500

If the roller coaster is less then 255, then Titan is shorter.

500 – 255= 245 feet

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice. Use a subtraction strategy to solve.**

Question 19.

Evaluate The space bus leaves Phobos with 248 passengers. At Deimos, 196 passengers get off. How many passengers stay on the space bus?

(A) 151

(B) 52

(C) 158

(D) 132

Answer:

Option (B)

Explanation:

The space bus leaves Phobos with 248 passengers.

At Deimos, 196 passengers get off.

Number of passengers stay on the space bus

248 – 196 = 52

Question 20.

Yasmin’s story has 853 words. Danny’s story has 648 words. How many more words does Yasmin’s story have than Danny’s story?

(A) 95

(B) 205

(C) 215

(D) 201

Answer:

Option (B)

Explanation:

Yasmin’s story has 853 words.

Danny’s story has 648 words.

Number of words does Yasmin’s story have than Danny’s story

853 – 648 = 205

Question 21.

**Multi-Step** Heather picks 197 berries. Vincent picks 124 more berries than Heather. Mia picks 118 fewer berries than Vincent. How many berries does Mia pick?

(A) 321

(B) 242

(C) 203

(D) 191

Answer:

Option (A)

Explanation:

Heather picks 197 berries.

Vincent picks 124 more berries than Heather.

Mia picks 118 fewer berries than Vincent.

Number of berries does Mia pick

197 + 124 = 321

**Texas Test Prep**

Question 22.

The Goliath roller coaster is 235 feet tall. The Steel Dragon roller coaster is 318 feet tall. How many feet taller is Steel Dragon than Goliath?

(A) 183 feet

(B) 83 feet

(C) 123 feet

(D) 73 feet

Answer:

Option (B)

Explanation:

The Goliath roller coaster is 235 feet tall.

The Steel Dragon roller coaster is 318 feet tall.

Number of feet taller is Steel Dragon than Goliath?

318 – 235 = 83

### Texas Go Math Grade 3 Lesson 5.3 Homework and Practice Answer Key

**Estimate. Then find the difference.**

Question 1.

Estimate: ___________

Answer: 225

Estimate:

610 – 380 = 230

Explanation:

Estimate is a value that is close enough to the right answer,

Since 225 is close to the estimate of 230, the answer is reasonable.

Question 2.

Estimate: ___________

Answer: 719

Estimate:

930 – 210 = 720

Explanation:

Estimate is a value that is close enough to the right answer,

Since 719 is close to the estimate of 720, the answer is reasonable.

Question 3.

Estimate: __________

Answer: 158

Estimate:

400 – 250 = 150

Explanation:

Estimate is a value that is close enough to the right answer,

Since 158 is close to the estimate of 150, the answer is reasonable.

**Use the table for 4-6.**

Question 4.

About how many more miles did Wayne bike than Latisha?

Answer:

53 miles

Explanation:

Wayne biked = 617 miles

Latisha biked = 564 miles

By comparing both Wayne biked more.

617 – 564 = 53 miles

Question 5.

Suppose another biker rides 690 miles. How many more miles would this be than the number of miles Noki biked?

Answer:

404 miles

Explanation:

Suppose another biker rides 690 miles

Noki biked = 286 miles

By comparing both Noki biked less miles.

690 – 286 = 404

Question 6.

How many fewer miles did Wayne bike than Latisha and Noki bike together?

Answer:

233 miles

Latisha biked = 564 miles

Noki biked = 286 miles

Wayne biked = 617 miles

By combining both Latisha and Noki

564 + 286 = 850

Compare between Wayne and the other two

850 – 617 = 233

**Problem Solving**

Question 7.

A train travels a distance of 748 miles. Then it travels another 342 miles. How many more miles does the train travel on the first part of the trip?

Answer:

406 miles

Explanation:

A train travels a distance of 748 miles.

Then it travels another 342 miles.

Number of more miles does the train travel on the first part of the trip

748 – 342 = 406

Question 8.

Denzel wants to subtract 517 – 183. How can he combine the place values to find the difference?

Answer: 334

Explanation:

Instead of borrowing or regrouping the number for subtracting,

one can combine the place values.

To combine the place values first combine the tens and ones place.

Then subtract to find the difference.

517 – 183 = 334

**Lesson Check**

Question 9.

A farm stand has a total of 463 bushels of corn and 284 baskets of apples. How many fewer baskets of apples are there than bushels of corn?

(A) 189

(B) 279

(C) 747

(D) 179

Answer:

Option (D)

Explanation:

A farm stand has a total of 463 bushels of corn and

284 baskets of apples.

number of fewer baskets of apples are there than bushels of corns

463 – 284 = 179

Question 10.

On Saturday a farm stand sells 189 pumpkins. If the farm had a total of 540 pumpkins, how many pumpkins does it still need to sell?

(A) 361

(B) 351

(C) 451

(D) 729

Answer: Option (B)

Explanation:

On Saturday a farm stand sells 189 pumpkins.

If the farm had a total of 540 pumpkins,

Number of pumpkins does it still need to sell

540 – 189 = 351

Question 11.

At the football game, 327 boxes of juice and 128 bottles of water are sold. How many more boxes of juice were sold than bottles of water?

(A) 99

(B) 199

(C) 455

(D) 299

Answer:

Option (B)

Explanation:

Number of juice boxes = 327

Number of water bottles = 128

Number of more boxes of juice were sold than bottles of water bottles

327 – 128 = 199

Question 12.

Rosa has saved 473 pennies. She needs 800 pennies to fill the penny jar. How many more pennies does Rosa need to save?

(A) 327

(B) 337

(C) 427

(D) 273

Answer:

Option (A)

Explanation:

Rosa has saved 473 pennies.

She needs 800 pennies to fill the penny jar.

more pennies does Rosa need to save

800 – 473 = 327

Question 13.

**Multi-Step** Courtney has 213 baseball cards. Suri has 162 more cards than Courtney. Ed has 114 fewer cards than Suri. How many cards does Ed have?

(A) 375

(B) 276

(C) 487

(D) 261

Answer:

Option (D)

Explanation:

Courtney has 213 baseball cards.

Suri has 162 more cards than Courtney.

Ed has 114 fewer cards than Suri.

Number of cards does Ed have

suri has 213 + 162 = 375

Ed has 375 – 114 = 261

Question 14.

**Multi-Step** Ben collects 213 cans for recycling. Sanjaya collects 189 cans. They want to collect a total of 650 cans to win a prize. How many more cans do they need to collect?

(A) 248

(B) 402

(C) 461

(D) 258

Answer:

Option (A)

Explanation:

Ben collects 213 cans for recycling.

Sanjaya collects 189 cans.

They want to collect a total of 650 cans to win a prize.

more cans they need to collect

213 + 189 = 402

650 – 402 = 248