| A | B |
| Commutative Property of Addition | You can add any #'s in any order. 7+6 = 6+7 |
| Commutative Property of Multiplication | You can multiply any #'s in any order. 7x6 = 6x7 |
| Associative Property of Addition | When you are only adding, you can group any of the #'s together and the sum will be the same. (8+7)+1 = 8+(7+1) |
| Associative Property of Multiplication | When you are only multiplying, you can group any of the #'s together and the product will be the same. (8x7)x1 = 8x(7x1) |
| Additive Inverse Property | The sum any # and its opposite is zero. 5 + -5 = 0 |
| Multiplicative Inverse Property | For any # except for 0, the product of a # and its reciprocal is 1. 2/3 x 3/2 = 1 |
| Additive Identity Property | The sum of zero and any number is that number. 7+0 = 7 |
| Multiplicative Identity Property | The product of one and any number is that number. 7x1 = 7 |
| Multiplicative Property of Zero | The product of any # and zero is zero. 5x0 = 0 |
| Distributive Property of Multiplication over Addition | To multiply a sum by a #, you can multiply each addend by the # and add the products. 2(3+6) = 2x3 + 2x6 |