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.

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.

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