If an operation is represented by the symbol "", then the commutative property is represented by: a b = b a.

Addition and multiplication are both commutative.

a + b = b + a, for all a, b R.

Example

6 + 3 = 3 + 6

9 = 9

Both sides have a sum of nine.

ab = ba, for all a, b R.

Example

6 x 3 = 3 x 6

18 = 18

Both sides have a product of eighteen.

Subtraction and division are 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.)