Commutative Property of Addition
Related Words
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.
Translate :