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

Can Numbers Do Magic Tricks?

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?

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 ÷ 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 get  results as 7 as
in step 1 each time we are multiplying number by 3,
and in step 2 we adding by 21,  step 3 we are
dividing by 3 and step4 subtracting original from result,
we get result 7 only.

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

Question 1.
14 – 6 = ___ + ___ = ___
14 – 6 = ____
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 = ____
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 = ___
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 = ___
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 ÷ 2 = ___
8,

Explanation:
Given to divide 16 by 2 we get
2)16(8
16
0
So 16 ÷ 2 = 8.

Question 6. 9,

Explanation:
Given to divide 27 by 3
3)27(9
27
0
So 27 ÷ 3 = 9.

Question 7.
35 ÷ 7 = ___
5,

Explanation:
Given to divide 35 by 7 we get
7)35(5
35
0
So 35 ÷ 7 = 5.

Question 8. 7,

Explanation:
Given to find 42 divided by 6 we will get
6)42(7
42
0
So 42 ÷ 6 = 7.

Question 9.
72 ÷ 9 = ___
8,

Explanation:
Given to divide 72 by 9 we will get
9)72(8
72
0
So 72 ÷ 9 = 8.

Question 10. 4,

Explanation:
Given to divide 24 by 6 we will get
6)24(4
24
0
So 24 ÷ 6 = 4.

Question 11.
12 ÷ 4 = ___
3,

Explanation:
Given to divide 12 by 4 we will get
4)12(3
12
0
So 12 ÷ 4 = 3.

Question 12. 6,

Explanation:
Given to divide 30 by 5
5)30(6
30
0
So 30 ÷ 5 = 6.

Question 13.
16 ÷ 8 = ___
2,

Explanation:
Given to divide 16 by 8 we will get
8)16(2
16
0
So 16 ÷ 8 = 2.

Unknown Factors

Find the unknown factor.

Question 14. 3 × ____ = 18
6,

Explanation:
Given 3 X __ = 18, Let the missing number be x
so 3 X x = 18, therefore x = 18 ÷ 3 = 6.

Question 15. ____ × 8 = 16
2,

Explanation:
Given __ X 8 = 16, Let the missing number be x
so x X 8 = 16, therefore x = 16 ÷ 8 = 2.

Question 16.
7 × ___ = 28
4,

Explanation
Given 7 X __ = 28, Let the missing number be x
so 3 X x = 18, therefore x = 18 ÷ 3 = 6.

Question 17.
___ × 9 = 45