We included HMH Into Math Grade 5 Answer Key PDF Module 2 Review to make students experts in learning maths.

Vocabulary

compatible numbers
dividend
divisor
partial quotients
quotient
remainder

Choose the correct term from the Vocabulary box.

Question 1.
When estimating a quotient, it is best to use ___ that can be evenly divided.

partial quotients

Question 2.
The method of dividing by subtracting multiples of the divisor from the dividend uses ___

compatible numbers

Question 3.
The number that results from dividing is the ____

remainder

Concepts and Skills

Question 4.
Which of the following best describes the division equation represented by the area model?
A. 190 ÷ 19 = 10
B. 187 ÷ 17 = 11
C. 228 ÷ 19 = 12
D. 238 ÷ 17 = 14

C. 228 ÷ 19 = 12

Question 5.
Use Tools Select all the division equations for which 50 is a reasonable estimate. Tell what strategy or tool you will use to solve the problem, explain your choice, and then find the answer.
A. 1,386 ÷ 27 =
B. 1,164 ÷ 32 =
C. 2,859 ÷ 62 =
D. 4,193 ÷ 84 =
E. 382 ÷ 71 =

C. 2,859 ÷ 62 =

2,859 is near to 3,000

62 is near to 60

So, 2,859 ÷ 62 =

3,000 ÷ 60 = 50

Question 6.
Write a division equation that is related to the application of the Distributive Property shown.
18 × (200 + 30 + 6) = (18 × 200) + (18 × 30) + (18 × 6)
= 3,600 + 540 + 108
= 4,248
____ ÷ ____ = ____

20 × (20 + 3 + 6) = (20 × 20) + (20 × 3) + (20 × 6)

= 400 + 60 + 120

= 580

Use compatible numbers to find two estimates.

Question 7.
648 ÷ 44

648 is near 650

44 is near 50

650 ÷ 40 = 16.25 which is near 16

Therefore, 648 ÷ 44 approximately equals 16.

Question 8.
4,174 ÷ 21

4,174 is near 4200

21 is near 20

So, 4200 ÷ 20 = 210

Therefore, 4,174 ÷ 21 approximately equals 210.

Question 9.
A local company donates 1,935 ounces of granola to the food bank. Volunteers are making 85 smaller bags. What is a reasonable estimate for the number of ounces of granola in each smaller bag?

Given,

A local company donates 1,935 ounces of granola to the food bank.

Volunteers are making 85 smaller bags.

So, 1,935 ÷ 85 =

1935 approximately equals 2000

85 is near to 80

So, 2000 ÷ 80 = 25

1,935 ÷ 85 approximately equals 25

Therefore, the reasonable estimate for the number of ounces of granola in each smaller bag is 25.

Divide.

Question 10.
322 ÷ 14

Question 11.
591 ÷ 31

Question 12.
2,841 ÷ 76

Question 13.
1,718 ÷ 23

Question 14.
948 ÷ 40

Question 15.
4,500 ÷ 84

Question 16.
One mile is 5,280 feet long. A certain indoor gym has a running track for which 12 laps around the track is equivalent to 1 mile. Explain how you can use partial quotients to determine how many feet long the track is.