Commutative Property of Addition

Definition of Commutative Property of Addition

The Commutative Property of Addition states that changing the order of addends does not change the sum, i.e. if a and b are two real numbers, then a + b = b + a.

More About Commutative Property of Addition

    Commutative property of addition holds true for matrices, i.e. if A and B are two matrices, then A + B = B + A.

Video Examples:Commutative Property for Addition


Example of Commutative Property of Addition

  • As per the commutative property of addition, the expression 5 + 14 = 19 can be written as 14 + 5 = 19. Hence, 5 + 14 = 14 + 5.
  • As per the commutative property of addition, the expression 9 + ( 5) = 4 can be written as (- 5) + 9 = 4. Hence, 9 + ( 5) = ( 5) + 9.

Solved Example onCommutative Property of Addition

Ques: Which of the following expressions shows the commutative property of addition?

Choices:

    A. 3 + 7 = 2 + 8
    B. 2 6 = 4 3
    C. 8 + 5 = 5 + 8
    D. 6 + 6 = 2 6
    Correct Answer: C

Solution:

    Step 1: According to commutative property of addition, changing the order of addends does not change the sum.
    Step 2: a + b = b + a [Commutative property.]
    Step 3: So, the expression 8 + 5 = 5 + 8 represents the commutative property of addition.