We included **HMH Into Math Grade 5 Answer Key**** PDF** **Module 4 Expressions **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 4 Answer Key Expressions

**Can Numbers Do Magic Tricks?**

- Follow the steps.

A. Choose a number from 1 to 100. ____

B. Multiply the number by 3. _____

C. Add 21 to the number from Step B. ____

D. Divide the sum in Step C by 3. ____

E. Subtract the original number from the result of Step D. ____

**Turn and Talk**

- Compare your starting number with other students. Then compare the resulting number. What were the results?
- Why do you think this trick works?

**Answer:
**The result will be always 7,

Each time multiplying by 3,

Adding by 21, Dividing by 3

and Subtracting original from result,

Explanation:

A. Choose a number from 1 to 100. 6,

B. Multiply the number by 3. 6 X 3 = 18,

C. Add 21 to the number from Step B. 18 + 21 = 39,

D. Divide the sum in Step C by 3. 39 Ã· 3 = 13

E. Subtract the original number from the result of Step D.

13 – 6 = 7.

So what ever numbers we are taking from 1 to 100

we will getÂ results as 7 as

in step 1 each time we are multiplying number by 3,

and in step 2 we adding by 21,Â step 3 we are

dividing by 3 and step4 subtracting original from result,

we get result 7 only.

Are You Ready?

**Complete these problems to review prior concepts and skills you will need for this module.**

**Think Addition to Subtract**

**Write a related addition fact to help you subtract.**

Question 1.

14 – 6 =

___ + ___ = ___

14 – 6 = ____

Answer:

8 + 6 = 14,

14 – 6 = 8,

Explanation:

Given 14 – 6 =

let x be the missing number so

6 + x = 14,

14 – 6 = 8,

So addition fact is 6 + 8 = 14,

therefore 14 – 6 = 8.

Question 2.

15 – 8 =

___ + ___ = ___

15 – 8 = ____

Answer:

8 + 7 = 15,

15 – 8 = 7,

Explanation:

Given 15 – 8 =

let x be the missing number so

8 + x = 15,

15 – 8 = 7,

So addition fact is 8 + 7 = 15,

therefore 15 – 8 = 7.

Question 3.

16 – 9 =

___ + ___ = ___

16 – 9 = ___

Answer:

9 + 7 = 16,

16 – 9 = 7,

Explanation:

Given 16 – 9 =

let x be the missing number so

9 + x = 16,

16 – 9 = 7,

So addition fact is 9 + 7 = 16,

therefore 16 – 9 = 7.

Question 4.

13 – 4 =

___ + ___ = ___

13 – 4 = ___

Answer:

4 + 9 = 13,

13 – 4 = 9,

Explanation:

Given 13 – 4 =

let x be the missing number so

4 + x = 13,

13 – 4 = 9,

So addition fact is 4 + 9 = 13,

therefore 13 – 4 = 9.

**Division Facts Through 9**

**Divide.**

Question 5.

16 Ã· 2 = ___

Answer:

8,

Explanation:

Given to divide 16 by 2 we get

2)16(8

16

0

So 16 Ã· 2 = 8.

Question 6.

Answer:

9,

Explanation:

Given to divide 27 by 3

3)27(9

Â Â 27

Â Â 0

So 27 Ã· 3 = 9.

Question 7.

35 Ã· 7 = ___

Answer:

5,

Explanation:

Given to divide 35 by 7 we get

7)35(5

Â Â 35

Â Â Â 0

So 35 Ã· 7 = 5.

Question 8.

Answer:

7,

Explanation:

Given to find 42 divided by 6 we will get

6)42(7

Â Â 42

Â Â 0

So 42 Ã· 6 = 7.

Question 9.

72 Ã· 9 = ___

Answer:

8,

Explanation:

Given to divide 72 by 9 we will get

9)72(8

Â Â 72

Â Â Â 0

So 72 Ã· 9 = 8.

Question 10.

Answer:

4,

Explanation:

Given to divide 24 by 6 we will get

6)24(4

Â 24

Â Â 0

So 24 Ã· 6 = 4.

Question 11.

12 Ã· 4 = ___

Answer:

3,

Explanation:

Given to divide 12 by 4 we will get

4)12(3

12

Â 0

So 12 Ã· 4 = 3.

Question 12.

Answer:

6,

Explanation:

Given to divide 30 by 5

5)30(6

Â Â 30

Â Â Â 0

So 30 Ã· 5 = 6.

Question 13.

16 Ã· 8 = ___

Answer:

2,

Explanation:

Given to divide 16 by 8 we will get

8)16(2

16

0

So 16 Ã· 8 = 2.

**Unknown Factors**

**Find the unknown factor.**

Question 14.

3 Ã— ____ = 18

Answer:

6,

Explanation:

Given 3 X __ = 18, Let the missing number be x

so 3 X x = 18, therefore x = 18 Ã· 3 = 6.

Question 15.

____ Ã— 8 = 16

Answer:

2,

Explanation:

Given __ X 8 = 16, Let the missing number be x

so x X 8 = 16, therefore x = 16 Ã· 8 = 2.

Question 16.

7 Ã— ___ = 28

Answer:

4,

Explanation

Given 7 X __ = 28, Let the missing number be x

so 3 X x = 18, therefore x = 18 Ã· 3 = 6.

Question 17.

___ Ã— 9 = 45

Answer:

5,

Explanation:

Given __ X 9 = 45, Let the missing number be x

so x X 9 = 45, therefore x = 45 Ã· 9 = 5.