**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