Solved Examples and Worksheet for Exploring Commutative Property of Multiplication

Q1If 4 × 9 = 36, then find the value of 9 × 4.
A. 36
B. 9
C. 1
D. 2

Solutions
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Step: 1
Changing the order of factors does not change the product. This is commutative property of multiplication
Step: 2
Therefore, if 4 × 9 = 36, then 9 × 4 = 36.
  [Commutative property of multiplication.]
Correct Answer is :   36
Q2If 5 × 15 = 75, then find the value of 15 × 5.
A. 75
B. 50
C. 15
D. 3

Solutions
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Step: 1
5 × 15 = 75
  [Given expression.]
Step: 2
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 3
Therefore, 15 × 5 = 75.
Correct Answer is :   75
Q3Which of these is equivalent to 10 × 11?
A. 1
B. 21
C. 11 ÷ 10
D. 11 × 10

Solutions
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Step: 1
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 2
Value of the expression 10 × 11 = 110.
Step: 3
Value of the expression 11 × 10 = 110.
Step: 4
So, 10 × 11 = 11 × 10.
Correct Answer is :   11 × 10
Q4If 4 × 14 = 56, then find the value of 14 × 4.

A. 56
B. 14
C. 12
D. 46

Solutions
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Step: 1
4 × 14 = 56
  [Given expression.]
Step: 2
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 3
Therefore, 14 × 4 = 56.
Correct Answer is :   56
Q5Sonny multiplied 7 × 12. Which of these is equivalent to 7 × 12?

A. 19
B. 12 × 7
C. 12 ÷ 7
D. 5

Solutions
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Step: 1
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 2
According to the choices, product of the expression is 7 × 12 = 12 × 7.
  [commutative property of multiplication.]
Step: 3
So, 7 × 12 = 12 × 7.
Correct Answer is :   12 × 7
Q6Which of these is equivalent to 3 × 8?
A. 8 ÷ 3
B. 8 × 3
C. 5
D. 11

Solutions
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Step: 1
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 2
Product of the expression, 3 × 8 = 24.
Step: 3
Product of the expression, 8 × 3 = 24.
Step: 4
So, 3 × 8 = 8 × 3.
Correct Answer is :   8 × 3
Q7Which of these is equivalent to 4 × 7?

A. 7 ÷ 4
B. 3
C. 7 × 4
D. 11

Solutions
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Step: 1
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 2
Product of the expression, 4 × 7 = 28.
Step: 3
Product of the expression, 7 × 4 = 28.
Step: 4
So, 4 × 7 = 7 × 4.
Correct Answer is :   7 × 4
Q8Which of these is equivalent to 2 × 8?

A. 8 + 2
B. 8 - 2
C. 8 ÷ 2
D. 8 × 2

Solutions
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Step: 1
Changing the order of factors does not change the product. This is called commutative property of multiplication.
Step: 2
Value of the expression, 2 × 8 = 16.
Step: 3
Value of the expression, 8 × 2 = 16.
Step: 4
So, 2 × 8 = 8 × 2.
Correct Answer is :   8 × 2
Q9Which of these is equivalent to 9 × 8?

A. 6 × 8
B. 4 × 8
C. 8 × 6
D. 8 × 9

Solutions
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Step: 1
Recall the multiplication table.
Step: 2
From the table, 9 × 8 = 72
8 × 9 = 72
Step: 3
Among the choices, 8 × 9 is equivalent to 9 × 8.
Correct Answer is :   8 × 9
Q10Which of the following is the same as 8 × 7?
A. 8 × 9
B. 7 × 9
C. 6 × 2
D. 7 × 8

Solutions
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Step: 1
Recall the multiplication tables.
Step: 2
From the table, 8 × 7 = 56
7 × 8 = 56
Step: 3
Among the choices, 7 × 8 is same as 8 × 7.
Correct Answer is :   7 × 8

HighSchool Math