McGraw Hill My Math Grade 4 Chapter 2 Lesson 4 Answer Key Estimate Sums and Differences

All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 2 Lesson 4 Estimate Sums and Differences will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 2 Lesson 4 Estimate Sums and Differences

Math in My World

Example 1
The Central School District needs 5,481 forks and 2,326 spoons for a school function. About how many forks and spoons will they need altogether?
Estimate 5,481 + 2,326. Round to the hundreds place.
Round each number to the nearest hundred. Then add.


So, 5,481 + 2,326 is about ____.

Answer:  5,481 + 2,326 is about 7,800

Explanation:

Example 2
Estimate $7,542 – $3,225. Round to the hundreds place.

So, $7,542 – $3,225 is about ____

Answer : $7,542 – $3,225 is about 4,300

Explanation:

Example 3
The table shows populations for two cities in Kentucky. About how many more people live in Covington than
in Ashland?

Round each population to the nearest thousand. Then, subtract.

So, Covington has about ___ more people.

Answer: Covington has about 21,000 more people.

Explanation:

Talk Math
Estimate 829 + 1,560 to the nearest hundred and the nearest thousand.

Answer:  829 + 1,560  nearly is 2,800

Explanation:
Given, 829 + 1,560
For 829 , nearest hundred will be 800
For 1,560  nearest thousand will be 2,000
Then 800 + 2,000 = 2,800
So, 829 + 1,560  nearly is 2,800

Guided Practice

Estimate. Round each number to the given place value.

Question 1.
1,454 + 335; hundreds
____ + ___ = _____
Answer:  300 + 1500 = 1800

Explanation:
Given, 1,454 + 335
Rounding to the nearest hundreds we get
300 + 1500 = 1800

Question 2.
2,871 + 427; hundreds
____ + ___ = _____
Answer: 2900 + 400 = 3200

Explanation:
Given, 2,871 + 427
Rounding to the nearest hundreds we get
2900 + 400 = 3200

Question 3.
$2,746 – $1,529; tens
____ – ___ = _____
Answer:  $2750 +$1530 = $4,280

Explanation:
Given, $2,746 – $1,529
Rounding to the nearest ten we get
$2750 +$1530 = $4,280

Question 4.
48,344 – 7,263; thousands
____ – ___ = _____
Answer:  48000 + 7000 = 55000

Explanation:
Given, 48,344 – 7,263
Rounding to the nearest thousands we get
48000 + 7000 = 55000

Independent Practice

Estimate. Round each number to the given place value.

Question 5.
$5,238 + $3,420; hundreds
Answer:  $5200 + $3400 = $8600

Explanation:
Given, $5,238 + $3,420
Rounding to the nearest hundreds we get
$5200 + $3400 = $8600

Question 6.
$4,127 + $2,666; hundreds
Answer: $4,100 + $2,600 = $6,700

Explanation:
Given, $4,127 + $2,666
Rounding to the nearest hundreds we get
$4,100 + $2,600 = $6,700

Question 7.
5,342 + 298; hundreds
Answer: 5,300 + 300 = 5,600

Explanation:
Given, 5,342 + 298
Rounding to the nearest hundreds we get
5,300 + 300 = 5,600

Question 8.
3,182 + 6,618; hundreds
Answer:  3,200 + 6,600 = 9,800

Explanation:
Given, 3,182 + 6,618
Rounding to the nearest hundreds we get
3,200 + 6,600 = 9,800

Question 9.
48,205 + 50,214; thousands
Answer:  48,000 + 50,000 = 98,000

Explanation:
Given, 48,205 + 50,214
Rounding to the nearest thousands we get
48,000 + 50,000 = 98,000

Question 10.
$25,497 + $54,088; ten thousands
Answer: $30,000 + $50,000 = $80,000

Explanation:
Given, $25,497 + $54,088
Rounding to the nearest  ten thousands we get
$30,000 + $50,000 = $80,000

Question 11.
$7,172 – $5,103; hundreds
Answer:  $7,200 – $5,100 = $2,100

Explanation:
Given, $7,172 – $5,103
Rounding to the nearest  hundreds we get
$7,200 – $5,100 = $2,100

Question 12.
9,185 – 6,239; thousands
Answer:  9,000 – 6,000 = 3,000

Explanation:
Given, 9,185 – 6,239
Rounding to the nearest  thousands we get
9,000 – 6,000 = 3,000

Question 13.
2,647 – 256; hundreds
Answer: 2,600 – 300 = 2,300

Explanation:
Given, 2,647 – 256
Rounding to the nearest  hundreds we get
2,600 – 300 = 2,300

Question 14.
27,629 – 5,364; thousands
Answer: 28,000 – 5,000 = 23,000

Explanation:
Given, 27,629 – 5,364
Rounding to the nearest  thousands we get
28,000 – 5,000 = 23,000

Question 15.
$27,986 – $4,521; thousands
Answer: $28,000 – $5,000 = $ 23,000

Explanation:
Given, $27,986 – $4,521
Rounding to the nearest  thousands we get
$28,000 – $5,000 = $23,000

Question 16.
$47,236 – $20,425; thousands
Answer: $47,000 – $20,000  = $27,000

Explanation:
Given, $47,236 – $20,425
Rounding to the nearest  thousands we get
$47,000 – $20,000  = $27,000

Problem Solving

The table shows the tallest buildings in the world. Round each height to the nearest hundred. Write a number sentence to solve.

Question 17.
About how much taller is the Willis Tower than the Jin Mao Building?

Answer: Willis Tower is about 100 ft taller than  Jin Mao Building

Explanation:
Given,  Willis Tower is 1,450 ft
Jin Mao Building  is 1,381
Rounding to the nearest hundreds we get
1,400 – 1,300 = 100 ft
So, Willis Tower is about 100 ft taller than  Jin Mao Building

Question 18.
Mathematical PRACTICE 4 Model Math Estimate the difference between the height of the Taipei 101 building and the Empire State Building.
Answer: The difference between the height of the Taipei 101 building and the Empire State Building is 400 ft

Explanation:
Given,  Empire State Building is 1,250 ft
Taipei 101 building is 1,669 ft
Rounding to the nearest hundreds we get
1,700 – 1,300 = 400 ft
So, The difference between the height of the Taipei 101 building and the Empire State Building is 400 ft

Question 19.
About how much taller is Petronas Towers than the Empire State Building?
Answer:  Petronas Towers is about  200 ft taller than Empire State Building .

Explanation:
Given, Empire State Building is 1,250 ft
Petronas Towers is 1,482 ft
Rounding to the nearest hundreds we get
1,500 – 1,300 = 200 ft
So, Petronas Towers is about  200 ft taller than Empire State Building .

HOT Problems

Question 20.
Mathematical PRACTICE 2 Reason Write two numbers that when rounded to the thousands place have an estimated sum of 10,000.
Answer:  The numbers are 5,968 and 3,897

Explanation:
Let the numbers be , 5,968 and 3,897
Rounding to the nearest thousands we get
6,000 + 4,000 = 10,000
So, The numbers are 5,968 and 3,897

Question 21.
? Building on the Essential Question How do you know if an estimate is reasonable? Explain.
Answer: A reasonable estimate does not exceed the original numbers in a problem.
Subtract the smaller number from the larger one to check for reasonableness. In this example, you would subtract 600 from 651 to get 51. The numbers are reasonably close, so you can probably accept that 651 is the correct answer.

McGraw Hill My Math Grade 4 Chapter 2 Lesson 4 My Homework Answer Key

Practice

Estimate. Round each number to the nearest hundred.

Question 1.

Answer:  11,500

Explanation:

Question 2.

Answer: 55,00

Explanation:

Estimate. Round each number to the nearest thousand.

Question 3.
$5,486 + $8,602
Answer:  $5,000 + $9,000 = $14,000

Explanation:
Given, $5,486 + $8,602
Rounding to the nearest thousands we get
$5,000 + $9,000 = $14,000

Question 4.
95,438 – 62,804
Answer: 95,000 – 63,000 = 32,000

Explanation:
Given, 95,438 – 62,804
Rounding to the nearest thousands we get
95,000 – 63,000 = 32,000

Problem Solving

Estimate. Round each number to the nearest hundred.

Question 5.
A total of 2,691 people attended the school play. A total of 1,521 people attended the band concert. About how many more people attended the play than the concert?
Answer: About 1,500 more people attended the play than the concert

Explanation:
Given, A total of 2,691 people attended the school play.
A total of 1,521 people attended the band concert.
Then, 2,691 – 1,521
Rounding to the nearest hundreds we get
3,000 – 1,500 = 1,500
So, About 1,500 more people attended the play than the concert

Estimate. Round each number to the nearest thousand.

Question 6.
The highest point in Texas, Guadalupe Peak, is 8,749 feet high. The highest point in California, Mount Whitney, is 14,497 feet high. About how much higher is Mount Whitney than Guadalupe Peak?
Answer: 5800 ft

Explanation:
Given, The highest point in Texas, Guadalupe Peak, is 8,749 feet high.
The highest point in California, Mount Whitney, is 14,497 feet high.
Then, 14,497 – 8,749
Rounding to the nearest hundreds we get
14,500 – 8,700 = 5,800
So, Mount Whitney is about  5,800 feet more than the Guadalupe Peak

Question 7.
Mathematical PRACTICE 2 Use Number Sense Maria’s school raised $23,240 in magazine sales and Cole’s school raised $16,502. About how much more money did Maria’s school raise?
Answer: Maria’s school raised about $6,000 more money than Cole’s school

Explanation:
Given, Maria’s school raised $23,240 in magazine sales and Cole’s school raised $16,502
Then, $23,240 – $16,502
Rounding to the nearest thousands we get
$23,000 – $17,000  = $6,000
So, Maria’s school raised about $6,000 more money than Cole’s school

Test Practice

Question 8.
Which is the correct estimate for 63,621 – 41,589 rounded to the nearest hundred?
A. 22,040
B. 22,000
C. 20,000
D. 22,032
Answer: B

Explanation:
Given, 63,621 – 41,589
Rounding to the nearest hundreds we get
63,600 – 41,600 = 22,000
So, the correct estimate is  63,600 – 41,600 = 22,000