**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.

**Examples 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**

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.

**Related Terms for Commutative Property of Multiplication**

- Commutative Property
- Commutative Property of Addition
- Factor
- Multiplication
- Order
- Product