McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences

All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 3 Lesson 2 Estimate Differences will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 3 Lesson 2 Estimate Differences

Sometimes you want to find an estimate instead of an exact answer. You can estimate differences to the nearest hundred or nearest ten.

Math in My World

Example 1
China has more than 3,728 miles of high-speed train tracks. Japan has more than 1,518 miles of high-speed tracks. About how many more miles of high-speed tracks does China have?
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 1
Round each number in 3,728 – 1,518.
Then find the estimated difference.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 2
To the Nearest Hundred, there are about ____ more about miles of high-speed tracks in China.
To the Nearest ten, there are about ____ more about miles of high-speed tracks in China.

Each estimate is reasonable. There can be more than one reasonable estimate when solving a problem.

You are not always told to which place to round a number. You can round to the greatest place value.
Answer:
3,728-1,518 = 2,210 miles.

Explanation:
Given that China has more than 3,728 miles of high-speed train tracks and Japan has more than 1,518 miles of high-speed tracks. So China have 3,728-1,518 = 2,210 miles of high-speed tracks.
McGraw-Hill-My-Math-Grade-3-Chapter-3-Lesson-2-Answer-Key-Estimate-Differences-2-1

Example 2
A museum has 237 works of art on its first floor. The second floor has 349 works of art. About how many more works of art are found on the second floor?
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 3
Estimate 349 – 237.
The greatest place-value position of 349 and 237 is the
______ place.
Round to the hundreds place. Then subtract.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 4
So, there are about ____ more paintings on the second floor.

Answer:
There are about 100 more paintings on the second floor.

Explanation:
Given that a museum has 237 works of art on its first floor and the second floor has 349 works of art. So the more works of art found on the second floor is 300-200 which is 100 works approx.

Guided Practice

Question 1.
Estimate 488 – 351. Round each number to
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 5
Answer:
488 – 351 = 137.

Explanation:
The estimated difference between 488 – 351 is about 100 and the actual difference is 137. Rounding off 137 it will be 140.
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Talk Math
4,749 was rounded to 4,750. Was 4,749 rounded to the nearest ten or hundred? Explain.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 7

Answer:
The number was rounded off to the nearest ten.

Explanation:
As 4,749 was rounded to 4,750. So the number was rounded off to the nearest ten as the digit to the right is equal to or greater than 5 we will round away from 0.

Question 2.
Estimate 542 – 225. Round each number to the greatest place value.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 6
Answer:
542 – 225 = 317.

Explanation:
The estimated difference between 542 – 225 is about 300 and the actual difference is 317. Rounding off 317 it will be 320.
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Independent Practice

Estimate. Round each number to the indicated place value.

Question 3.
986 – 664; tens
____ – ____ = _____
Answer:
986 – 664 = 322.

Explanation:
The estimated difference between 986 – 664 is about 300 and the actual difference is 322. Rounding off 322 to the nearest tens it will be 320.

Question 4.
550 – 244; tens
____ – ____ = _____
Answer:
550 – 244 = 306.

Explanation:
The estimated difference between 550 – 244 is about 300 and the actual difference is 306. Rounding off 306 to the nearest tens it will be 310.

Question 5.
1,836 – 1,648; hundreds
____ – ____ = _____
Answer:
1,836 – 1,648 = 108.

Explanation:
The estimated difference between 1,836 – 1,648 is about 200 and the actual difference is 188. Rounding off 188 to the nearest hundreds it will be 200.

Question 6.
7,621 – 2,000; hundreds
____ – ____ = _____
Answer:
7,621 – 2,000 = 5,621.

Explanation:
The estimated difference between 7,621 – 2,000 is about 5,000 and the actual difference is 5,621. Rounding off 5,621 to the nearest hundreds it will be 5,600.

Estimate. Round each number to the greatest place value.

Question 7.
937 – 338
____ – ____ = _____
Answer:
937 – 338 = 599.

Explanation:
The estimated difference between 937 – 338 is about 600 and the actual difference is 599. Rounding off 599 to the nearest tens it will be 600.

Question 8.
51 – 24
____ – ____ = _____
Answer:
51 – 24 = 27.

Explanation:
The estimated difference between 51 – 24 is about 30 and the actual difference is 27. Rounding off 27 to the nearest ones it will be 30.

Question 9.
716 – 207
____ – ____ = _____
Answer:
716 – 207 = 509.

Explanation:
The estimated difference between 716 – 207 is about 500 and the actual difference is 509. Rounding off 509 to the nearest ones it will be 510.

Question 10.
885 – 474
____ – ____ = _____
Answer:
885 – 474 = 411.

Explanation:
The estimated difference between 885 – 474 is about 400 and the actual difference is 411. Rounding off 411 to the nearest tens it will be 400.

Estimate. Round each number to the nearest ten and nearest hundred.

Question 11.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 8
Answer:
632 – 313 = 319.

Explanation:
The difference between 632-313 is 319. Rounding off 319 to the nearest tens it will be 320 and rounding off 319 to the nearest hundreds is 300.
McGraw-Hill-My-Math-Grade-3-Chapter-3-Lesson-2-Answer-Key-Estimate-Differences-8-1

Question 12.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 9
Answer:
877-770 = 107.

Explanation:
The difference between 877-770 is 107. Rounding off 107 to the nearest tens it will be 110 and rounding off 107 to the nearest hundreds is 100.
McGraw-Hill-My-Math-Grade-3-Chapter-3-Lesson-2-Answer-Key-Estimate-Differences-9-1

Question 13.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 10
Answer:
584 – 341 = 243.

Explanation:
The difference between 584-341 is 243. Rounding off 243 to the nearest tens it will be 240 and rounding off 243 to the nearest hundreds is 200.

Problem Solving

Question 14.
Mathematical PRACTICE 6 Be Precise A theater compared weekend ticket sales. Estimate to the nearest hundred to find in which month fewer tickets were sold. Explain.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 11
Answer:
Fewer tickets were sold in February which is 4,699.

Explanation:
Given that the tickets sold in January are 3,924+2,789 which is 6,713 and the tickets sold in February are 2,945+1,754 which is 4,699. So fewer tickets were sold in February which is 4,699 and rounding off to a hundred it will be 4,700.

HOT Problems

Question 15.
Mathematical PRACTICE 1 Make Sense of Problems Gina’s brother is going to camp in the summer. What is the estimated difference in the total cost between attending Camp A and Camp B? Round to the nearest ten.
$_________
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 12
Answer:
The estimated difference is about $30.

Explanation:
The cost of attending Camp A is $1,192+$805 which is $1,997 and the cost of attending Camp B is $1,055+$979 which is $2,034. So the estimated difference $2,034 – $1,997 is about $30. The actual difference is $2,034 – $1,997 which is $37. So by rounding off $37 to the nearest ten is $30.

Question 16.
? Building on the Essential Question How do I know to which place-value position to round a number?
Answer:
We will round off the digit which is right of that place value and make a decision.

McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 My Homework Answer Key

Practice

Estimate. Round each number to the indicated place value.

Question 1.
816 – 708; tens
____ – ____ = ____
Answer:
816 – 708 = 108.

Explanation:
The estimated difference between 816 – 708 is about 100 and the actual difference is 108. Rounding off 108 to the nearest tens it will be 110.

Question 2.
466 – 152, hundreds
____ – ____ = ____
Answer:
466 – 152 = 314.

Explanation:
The estimated difference between 466 – 152 is about 300 and the actual difference is 314. Rounding off 314 to the nearest hundreds it will be 300.

Question 3.
537 – 288; hundreds
____ – ____ = ____
Answer:
The estimated difference between 816 – 708 is about 100 and the actual difference is 108. Rounding off 108 to the nearest tens it will be 110.

Question 4.
9,531 – 1,428; tens
____ – ____ = ____
Answer:
9,531 – 1,428 = 8,103.

Explanation:
The estimated difference between 9,531 – 1,428 is about 8,000 and the actual difference is 8,103. Rounding off 8,103 to the nearest tens it will be 8,100.

Estimate. Round each number to the nearest ten and nearest hundred.

Question 5.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 13
Answer:
3,677-2,232 = 1,445.

Explanation:
The estimated difference between 3,677-2,232 is about 2,000 and the actual difference is 1,445. Rounding off 1,445 to the nearest tens it will be 1,450  and rounding off to the nearest hundred is 1,400.
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Question 6.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 14
Answer:
573 – 441 = 132.

Explanation:
The estimated difference between 573 – 441 is about 100 and the actual difference is 132. Rounding off 132 to the nearest tens it will be 130 and rounding off to the nearest hundred is 100.
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Question 7.
McGraw Hill My Math Grade 3 Chapter 3 Lesson 2 Answer Key Estimate Differences 15
Answer:
1,885-483 = 1,402.

Explanation:
The estimated difference between 1,885-483 is about 1400 and the actual difference is 1,402. Rounding off 1,402 to the nearest ten it will be 1,400 and rounding off to the nearest hundred is 1,400.
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Problem Solving

Question 8.
Shannon’s scout troop sold 2,357 boxes of cookies. They started with 3,600 boxes. To the nearest hundred, about how many boxes of cookies do they have left to sell?
Answer:
The boxes of cookies left are 1,243.

Explanation:
Given that Shannon’s scout troop sold 2,357 boxes of cookies and they started with 3,600 boxes. So the boxes of cookies left are 3,600-2,357 which is 1,243 boxes. Rounding off 1,243 to the nearest hundred it will be 1,200.

Question 9.
Mathematical PRACTICE 2 Use Number Sense Clearview Stadium sold 8,371 bags of peanuts last weekend. Capital Stadium sold 4,309 bags of peanuts last weekend. Which stadium sold more bags of peanuts? To the nearest ten, about how many more bags were sold?
Answer:
The more bags were sold by Clearview stadium which is 8,371.

Explanation:
Given that the Clearview Stadium sold 8,371 bags of peanuts last weekend and Capital Stadium sold 4,309 bags of peanuts last weekend. So more bags were sold by Clearview stadium, as it sold 8,371 bags of peanuts which is greater than 4,309. So rounding off 8,371 to the nearest ten is 8,370.

Test Practice

Question 10.
Which shows the estimated difference for 8,859 – 3,591 to the nearest hundred?
A. 5,000
B. 5,268
C. 5,300
D. 5,400
Answer:
C.

Explanation:
The estimated difference between 8,859 – 3,591 is about 6,000 and the actual difference is 5,268. So the nearest hundred will be 5,300.

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