Commutative Property of Multiplication
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Definition of Commutative Property of Multiplication
The Commutative Property of Multiplication states that changing the order of factors does not change the product, i.e. if a and b are two real numbers, then a × b = b × a.
More About Commutative Property of Multiplication

Matrix multiplication is not commutative.
Video Examples:Commutative Property of Multiplication
Example of Commutative Property of Multiplication
 As per the commutative property of multiplication, the expression 3 × 9 = 27 can be written as
9 × 3 = 27. So, 3 × 9 = 9 × 3.  As per the commutative property of multiplication, the expression ( 7)6 =  42 can be written as
6 ( 7) =  42. So, ( 7)6 = 6( 7).
Solved Example on Commutative Property of Multiplication
Ques: Which of these is equivalent to 18 × 13?
Choices:
A. 13 × 18B. 13 ÷ 18
C. 13  18
D. 13 + 18
Correct Answer: A
Solution:

Step 1: As per the commutative property of multiplication, changing the order of factors does not change the product.
Step 2: Value of the expression 18 × 13 = 234.
Step 3: Value of the expression 13 × 18 = 234.
Step 4: So, 18 × 13 is same as 13 × 18.
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