| 1. origin | | __. way to group 3 multiplied numbers doesn't matter |
| 2. absolute value | | __. real number is the distance from origin to the pt. |
| 3. commutative property of addition | | __. zero on the number line |
| 4. associative property of addition | | __. adding the opposite to the number gives a zero |
| 5. identity property of addition | | __. a number times -1 is the opposite number. |
| 6. property of zero (inverse) | | __. any number times 0 is just 0. |
| 7. commutative property of multiplication | | __. any number times 1 is the number. |
| 8. associative property of multiplication | | __. the ordering of 2 numbers doesn't change the answer |
| 9. identity property of multiplication | | __. subtract number then add it's opposite such as 3-5 = 3 + -5. |
| 10. property of zero of multiplication | | __. grouping 3 numbers doesn't change the answer. |
| 11. property of opposites of multiplication | | __. the order of two multiplied number doesn't matter |
| 12. subtraction rule | | __. adding a number and 0 the sum is the number |