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 on Commutative Property of Addition
Ques: Which of the following expressions shows the commutative property of addition?
Choices:

A. 3 + 7 = 2 + 8
B. 2 x 6 = 4 x 3
C. 8 + 5 = 5 + 8
D. 6 + 6 = 2 x 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.
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