| Term | Definition |
| Associative Property of Addition | Changing the grouping of the addends does not change the sum (2.5 + 6) + 4 = 2.5 + (6 + 4). |
| Identity Property of Addition | The sum of zero and a number is that number 5.6 + 0 = 5.6, or 0 + 5.6= 5.6. |
| Commutative Property of Addition | Changing the order of the addends does not change the sum 2.5+ 6 = 6 + 2.5. |
| Identity Property of Multiplication | The product of 1 and a number is that number 5 * 1 = 5. |
| Zero Property of Multiplication | The product of 0 and any number is zero 5 * 0 = 0. |
| Commutative Property of Multiplication | Changing the order of the factors does not change the product 5 * 2 = 2 * 5. |
| Associative Property of Multiplication | Changing the grouping of the factors does not change the product (3 * 3) * 3 = 3 * (3 *3). |