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## Texas Go Math Grade 3 Lesson 5.1 Answer Key Estimate Differences

**Unlock the Problem**

The largest yellowfin tuna caught weighed 427 pounds. The largest grouper caught weighed 436 pounds. About how much more did the grouper weigh than the yellowfin tuna?

You can estimate to find about how much more.

Does the question ask for an exact answer? How do you know?

Answer: NO

Explanation:

The question is to estimate how much more, in estimating the measurements we can not write exact answers.

Circle the numbers you need to use.

Answer:

Explanation:

From the given data,

The largest yellowfin tuna weighs 427 pounds.

The largest grouper weighs 436 pounds.

**One Way:** Use compatible numbers.

Think: Compatible numbers are numbers that are easy to compute mentally and are close to the real numbers.

So, the grouper weighed about _______ pounds more than the yellowfin tuna.

Answer:

10 pounds

Explanation:

436 and 427 are written in place value round figures as 435 and 425 and

the difference is 10 pounds.

**Another Way:** Use place value to round.

Think: Round both numbers to the same value.

Answer:

Explanation:

Rounding the numbers

As 761 is nearer to 800 and 528 is nearer to 500

642 is below 650 and nearer to 600 and 287 is near to 300

the difference in the above two equations is 300.

**Math Talk**

**Mathematical Processes**

Explain a different way you can round each number in Example B to find another estimate.

Answer:

Explanation:

One very simple form of estimation is rounding.

Rounding is often the key skill you need to quickly estimate a number.

Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on.

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

**Share and Show**

Question 1.

Use compatible numbers to estimate the difference.

Answer:

Explanation:

rounding to nearest tens 546 will be 550 and

209 will be 210

550 – 210 = 340

**Math Talk**

**Mathematical Processes**

Explain another way you can estimate 546 – 209.

Answer: 340

Explanation:

One very simple form of estimation is rounding.

Rounding is often the key skill you need to quickly estimate a number.

Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on.

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

**Use rounding or compatible numbers to estimate the difference.**

Question 2.

Answer: 40

Explanation:

nearest tens 57 will be 60

and 21 is nearest to 20

60 – 20 = 40

Question 3.

Answer: 500

Explanation:

nearest hundreds 642 will be 600

and 137 is nearest to 100

600 – 100 = 500

Question 4.

Answer: 100

Explanation:

nearest hundreds 374 will be 400

and 252 is nearest to 300

400 – 300 = 100

Question 5.

Answer: 380

Explanation:

nearest tens 429 will near to 430 and 50 nearer to 50

430 – 50 will become 380

Question 6.

Answer: 200

Explanation:

Rounding to nearest hundred

491 can be written as 500 and

270 can be written as 300

and the difference is 200

**Problem Solving**

Question 7.

Explain how you would estimate 301 – 281. Tell why you chose that method.

Answer: 20

Explanation:

Rounding face value method is used to estimate the value

301 can be written as 300 as nearest hundred of 301 is 300

and 281 can be written as 280, and the difference is

300 – 280 = 20

Question 8.

Visitor records showed that there were 632 students at the marina last week. There were 396 girls. About how many students were boys? Explain.

Answer: 236

Explanation:

Total students = 632

girls = 396

boys = Total students – girls

= 632 – 396 = 236

**Problem Solving**

**Use the table for 9-13.**

Question 9.

About how many more pounds does the Pacific halibut weigh than the yellowfin tuna? Explain.

Answer: 106 ponds

Explanation:

The Pacific halibut weigh 106 pounds more then the yellowfin tuna.

Weight of Pacific halibut is 533 pounds and Yellowfin Tuna is 427 pounds

the difference is = 533 – 427 = 106 pounds

Question 10.

**Communicate** Melissa said the weight of the Yellowfin Tuna was about 500 pounds. Is Melissa’s answer correct?

Answer: NO

Explanation:

Yellowfin Tuna fish is 427 pounds only.

Question 11.

What’s the Question? The answer is about 800 pounds.

Answer:

Estimate the weigh of Conger fish and Yellowfin Tuna together and round it to hundred.

Explanation:

Conger fish weighs 350

Yellowfin Tuna weighs 427

350 + 427 = 777 ponds

Rounding the 777 to hundred is 800 pounds

Question 12.

**H.O.T.** Sean said the three fish together weigh about 1,300 pounds. Justify why you agree or disagree.

Answer:

Yes, I Agree

Explanation:

The sum of three fishes is

533 + 350 + 427 = 1310

Rounding the 1310 pounds is 1300 pounds

Question 13.

**H.O.T. Multi-Step** About how much more is the total weight of the Pacific halibut and conger than the weight of the yellowfin tuna? Explain.

Answer:

456 pounds

Explanation:

The total weight of Pacific halibut and conger is 533 + 350 = 833

weight of yellowfin tuna is = 427 pounds

883 – 427 = 456 ponds

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice.**

Question 14.

There are 157 geocaches in my town. There are 921 geocaches in Naveen’s city. About how many more geocaches are hidden in Naveen’s city than in my town?

(A) 650

(B) 750

(C) 850

(D) 950

Answer:

Option (B) 750

Explanation:

There are 921 geocaches in Naveen’s city.

There are 157 geocaches in my town.

Hidden geocaches in my town

921 – 157 = 764

750 is nearer to 764

Question 15.

The Duke family is on vacation. They travel 432 miles on Monday. They travel 279 miles on Tuesday. About how many fewer miles does the Duke family travel on Tuesday than on Monday?

(A) 200 miles

(B) 300 miles

(C) 150 miles

(D) 50 miles

Answer:

Option (C) 150 miles

Explanation:

They travel 432 miles on Monday.

They travel 279 miles on Tuesday.

The Duke family travel on Tuesday than on Monday is

432 – 279 = 153

153 is rounding nearer to 150

Question 16.

**Multi-Step** There are 246 girls and 229 boys at the zoo. After lunch, 164 of the children go home. About how many children are still at the zoo after lunch?

(A) 320

(B) 480

(C) 640

(D) 90

Answer:

Option (A) 320

320 is near number to the answer children in the zoo after lunch

Explanation:

Total boys and girls in the zoo before lunch

246 + 229 = 475

After lunch 164 children go home

475 – 164 = 311

320 is near number to the answer children in the zoo after lunch.

**Texas Test Prep **

Question 17.

A total of 926 people went to a fishing tournament. Of these people, 607 arrived before noon. Which is the best estimate of the number of people who arrived in the afternoon?

(A) 150

(B) 500

(C) 300

(D) 250

Answer:

Option (C) 300

Explanation:

Estimate number of people

926 – 607 = 319

Texas Go Math Grade 3 Lesson 5.1 Homework and Practice Answer Key.

**Use rounding or compatible numbers to estimate the difference.**

Question 1.

Answer: 80

Explanation:

Rounding the 96 to 100 and 22 to 20,

we get 80

100 – 20 = 80

Question 2.

Answer: 350

Explanation:

Rounding the 532 to 500 and 175 to 180,

we get 350

530 – 180 = 350

Question 3.

Answer: 520

Explanation:

Rounding the 753 to 750 and 227 to 230,

we get 520

750 – 230 = 520

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

Question 4.

About how many more students like soccer than kickball?

Answer:

145 students

Explanation:

Soccer is favorite to 528

Kickball is favorite to 383

More students like soccer

528 – 383 = 145

Question 5.

About how many more students like kickball than softball?

Answer:

217 students.

Explanation:

Number of students likes Kickball = 383

Number of students like soft ball = 166

More students like kickball than softball

383 – 166 = 217

Question 6.

The number of boys that like soccer is 316. About how many girls like soccer?

Answer:

212 girls like soccer

Explanation:

Total number of students = 528

Number of boys = 316

Number of girls = 528 – 316 = 212

**Problem Solving**

Question 7.

A total of 843 people went to watch the soccer match. If 519 were students, about how many people at the match were adults?

Answer:

324 were adults.

Explanation:

Total people = 843

Total students = 519

Total adults = 843 – 519 = 324

Question 8.

A total of 683 hot dogs and hamburgers were sold at the softball game. If 278 were hot dogs, about how many hamburgers were sold at the game?

Answer:

405 hamburgers

Explanation:

Total hotdogs and hamburgers = 683

Total hotdogs = 278

Total hamburgers sold = 683 – 278 = 405

**Lesson Check**

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

Question 9.

Manuel scores 789 points playing a video game. Jackie scores 416 points. About how many more points did Manuel score than Jackie?

(A) 300

(B) 500

(C) 400

(D) 200

Answer:

Option (C) 400

Explanation:

Manuel scores 789 points

Jackie scores 416 points

More points scored by Manuel than Jackie

789 – 416 = 373

So, 373 rounding to 400.

Question 10.

On a trip, Mr. Peters flies 868 miles. Then he flies another 331 miles. About how many more miles did Mr. Peters fly on the first part of his trip?

(A) 450 miles

(B) 350 miles

(C) 650 miles

(D) 550 miles

Answer:

Option (D) 550

Explanation:

Peter flies 868 miles.

Then he flies another 331 miles.

More miles Mr. Peters fly on the first part of his trip

868 – 331 = 537 miles

Question 11.

The Middletown School Library has 638 history books and 289 art books. About how many more history books does the library have than art books?

(A) 300

(B) 200

(C) 400

(D) 500

Answer:

Option (A) 300

Explanation:

The Middletown School Library has 638 history books and 289 art books.

More history books the library have than art books

638 – 289 = 349

349 is near to 300, if it cross 350 mid point it can be considered to 400

Question 12.

In a nature reserve, a scientist counted 927 frogs and 328 toads. About how many more frogs than toads were counted by the scientist?

(A) 500

(B) 700

(C) 600

(D) 400

Answer:

Option (C) 600

Explanation:

Scientist counted 927 frogs and 328 toads.

More frogs than toads were counted by the scientist

927 – 328 = 599

599 is rounded to 600

Question 13.

**Multi-Step** A museum has 324 oil paintings, 227 watercolors, and 158 statues. Which is the best estimate of how many more oil and watercolor paintings there are than statues?

(A) 100

(B) 400

(C) 200

(D) 300

Answer:

Option (B) 400

Explanation:

A museum has 324 oil paintings, 227 watercolors, and 158 statues.

More oil and watercolor paintings there are than statues

324 + 227 = 552

552 – 158 = 394

394 is closer to 400

Question 14.

**Multi-Step** There are 262 students in the 2nd grade and 298 students in the 3rd grade. If 227 students take the bus to school, which is the best estimate of how many students do not take the bus?

(A) 325

(B) 600

(C) 425

(D) 550

Answer:

Option (A) 325

Explanation:

There are 262 students in the 2nd grade and

298 students in the 3rd grade.

If 227 students take the bus to school,

Number of students do not take the bus

262 + 298 = 560

560 – 227 = 333