We included **HMH Into Math Grade 4 Answer Key PDF** **Module 4 Review **to make students experts in learning maths.

## HMH Into Math Grade 4 Module 4 Review Answer Key

**Vocabulary**

Commutative

Property

compatible

numbers

Distributive

Property

place value

**Choose the correct term from the Vocabulary box to complete the sentence.**

Question 1.

Numbers that are easy to use for mental computation are called ____.

Answer: compatible numbers

Explanation:

Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally.

Question 2.

The ___ states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Answer: Distributive Property

Explanation:

The Distributive Property states that when you multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the product.

Question 3.

The ____ of Multiplication states that when the order of the factors is changed, the product in the same.

Answer: Commutative Property

Explanation:

Commutative property of multiplication states that the answer remains the same when multiplying numbers, even if the order of numbers are changed. Changing the order of multiplication doesn’t change the product. For instance, Example 1- Let us consider two numbers 3 and 5.

**Concepts and Skills**

**Use Tools Complete the pattern. Name the strategy or tool you will use to solve the problem, explain your choice, and then find the answer.**

Question 6.

6 × 5 = ___

6 × 50 = ____

6 × 500 = ___

6 × 5,000 = ___

Answer:

6 × 5 = 30

6 × 50 = 300

6 × 500 = 3000

6 × 5,000 = 30,000

Explanation:

6 x 5 = 30

Multiplied by the place value number.

Then added the leftover zero’s

Question 5.

56 ÷ 8 = ___

560 ÷ 8 = ____

5,600 ÷ 8 = ____

Answer:

56 ÷ 8 = 7

560 ÷ 8 = 70

5,600 ÷ 8 = 700

Explanation:

56 ÷ 8 = 7

Divided by the place value number.

Then added the leftover zero’s

**Use place value and patterns to find the product or the quotient.**

Question 6.

7 × 300 = ___

Answer:

7 × 3 = 2100

Explanation:

7 × 3 = 21

Multiplied by the place value number.

Then added the leftover zero’s

Question 7.

2,400 ÷ 6 = ___

Answer:

2,400 ÷ 6 = 400

Explanation:

24 ÷ 6 = 4

Divided by the place value number.

Then added the leftover zero’s

**Estimate the product.**

Question 8.

4 × 3,189

_______

Answer:

4 × 3,189 = 12,000

Explanation:

3,189 is rounded to 3000

4 x 3 = 12

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,

hundreds, or thousands and then multiply the rounded numbers.

Question 9.

8 × 591

_______

Answer:

8 x 600 = 4800

Explanation:

591 is rounded to 600

8 x 6 = 48

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,

hundreds, or thousands and then multiply the rounded numbers.

Question 10.

3 × 627

_____

Answer:

3 x 600 = 1800

Explanation:

627 is rounded to 600

3 x 6 = 18

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens,

hundreds, or thousands and then multiply the rounded numbers.

**Estimate the quotient.**

Question 11.

348 ÷ 7

_______

Answer:

350 ÷ 7 = 50

Explanation:

348 is rounded to 350

7 x 5 = 35

To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 12.

1,812 ÷ 3

_______

Answer:

1,800 ÷ 3 = 600

Explanation:

1,812 is rounded to 1,800

3 x 6 = 18

To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 13.

8,209 ÷ 9

_______

Answer:

8100 ÷ 9 = 900

Explanation:

8,209 is rounded to 8100

9 x 9 = 81

To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.

Question 14.

Select all the equations that have a value of 200.

A. 5 × 40 = ___

B. 120 ÷ 6 = ___

C. 2 × 5 × 100 = ___

D. 10 × 2 × 10 = ___

E. 8,000 ÷ 4 = ____

F. 1,800 ÷ 9 = ____

Answer:

A. 5 × 40 = 200

D. 10 × 2 × 10 = 200

F. 1,800 ÷ 9 = 200

Explanation:

These 3 are the equations that have a value of 200.

A. 5 × 40 = 200

B. 120 ÷ 6 = 20

C. 2 × 5 × 100 = 1000

D. 10 × 2 × 10 = 200

E. 8,000 ÷ 4 = 2000

F. 1,800 ÷ 9 = 200

**Use mental math to find the product or quotient.**

Question 15.

20 × 8 × 5

_______

Answer:

5 x 8 = 40

40 x 20 = 800

Explanation:

Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 16.

420 ÷ 6

_______

Answer:

420 ÷ 6 = 70

Explanation:

42 ÷ 6 = 7

Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 17.

5 × 36

_______

Answer:

5 x 36 = 180

Explanation:

Mental math in this guide refers to fact learning, mental computation, and computational estimation.

Question 18.

Tickets to the carnival cost $7. The manager sells 225 tickets in one hour. Which of the following best estimates the ticket sales for that hour?

A. It is between $200 and $300.

B. It is between $700 and $1,400.

C. It is between $1,400 and $2,100.

D. It is between $2,100 and $2,800.

Answer: C

Explanation:

7 x 2 = 14

So, the amount must be greater than 1400 and

7 x 3 = 21

So, the amount is between 14 to 21

Question 19.

Paul sells glow sticks at the fair. Each glow stick costs $3. He sells 184 glow sticks in one week. Paul says that his weekly sales are $552. Is this reasonable? Why or why not?

Answer:

What the Paul say is reasonable

Explanation:

3 x 2 = 6

184 is rounded to 200

3 x 200 = 600