Commutative Property
Definition of Commutative Property

Commutative Property of Addition: It states that changing the order of addends does not change the sum.
More about Commutative Property
That means, for any two real numbers x and y, x + y = y + x and xy = yx.
Examples of Commutative Property

2 + 3 = 3 + 2. Whether you add 3 to 2 or you add 2 to 3, you get 5 both ways.

4 × 7 = 7 × 4, Whether you multiply 4 by 7 or you multiply 7 by 4, the product is the same, 28.
Solved Example on Commutative Property
Which of the following does not illustrate commutative property?
Choices:
A. ab  1 = ab
B. a + b = b + a
C. ab = ba
D. Both B and C
Correct Answer: A
Solution:
Step 1: According to commutative property, changing the order of addends or factors does not change the sum or product.
Step 2: Of the given choices, chocie ‘A’ does not illustrate commutative property.
Related Terms for Commutative Property
 Addition
 Subtraction
 Multiplication
 Division
 Addend
 Factor
 Sum
 Product
Additional Links for Commutative Property
