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 × 18
B. 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.