| A | B |
| a+b=b+a | commutative property of addition |
| a x b = b x a | commuative property of multiplication |
| a+(b+c)=(a+b) +c | Associative Property of addition |
| a x (b x c) = (a x b) x c | associative property of multiplication |
| a(b + c) = ab + ac | distributive property with addition |
| a(b - c) = ab - ac | distributive property with subtraction |
| a + 0 = a | identity property of addition |
| a x 1 = a | identity property of multiplication |
| 5 + 6 = 6+5 | example of commutative property of addition |
| 6 x 5 x 4 = 5 x 4 x 6 | example of commutative property of multiplication |