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.

Examples 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 on Commutative Property of Addition

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.

Related Terms for Commutative Property of Addition

  • Addend
  • Addition
  • Commutative Property
  • Commutative Property of Multiplication
  • Order
  • Sum