commutative property of multiplication


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