Commutative Property
Initial Definition

If the order of two numbers in an operation does not affect the result, then the operation is said to be commutative.


Examples

Addition and multiplication are commutative.


6 + 3 = 3 + 6

(Both sides have a sum of 9.)


6 x 3 = 3 x 6

(Both sides have a product of 18.)


More Examples

Subtraction and division are generally NOT commutative.


6 - 3 ≠ 3 - 6

(6 - 3 = 3, while 3 - 6 = -3.)


6 ÷ 3 ≠ 3 ÷ 6

(6 ÷ 3 = 2, while 3 ÷ 6 = 0.5.)