| A | B |
|---|
| 8 + 3 = 3 + 8 | Commutative (numbers) |
| m + z = z + m | Commutative (variables) |
| 7 + (-7) = 0 | Inverse of Addition (numbers) |
| -n + n = 0 | Inverse of addition (variables) |
| m ( w + n) = mw + mn | Distributive Property (variables) |
| 6 ( 7 + 2) = 42 + 12 | Distributive Property (numbers) |
| 5 X 1/5 = 1 | Inverse of Multiplication (numbers) |
| m ( 1/m) = 1 | Inverse of Multiplication (variables) |
| 812 + 0 = 812 | Identity of Addition (numbers) |
| 0 + y = y | Identity of Addition (variables) |
| Property that "switches" or "moves" numbers | Commutative (definition) |
| A number plus zero equal the same number | Identity Prop of Addition (Definition) |
| A number plus it's opposite equals zero | Inverse Prop of addition (definition) |
| multiplying each addend separately | Distributive Property (definition) |
| A number times it's reciprocal equals 1 | Inverse Prop of Multiplication (definition) |
| A number times 0 equals 0 | Zero property (definition) |
| 9(0)=0 | Zero Property (numbers) |
| 0(m)=0 | Zero Property (variables) |
| 8 (1) = 8 | Identity of Mult (numbers) |
| 1B = B | Identity of Mult (variables) |
| A number times 1 equals the same number | Identity of Mult (definition) |
| The grouping changes, not the order | Associative (definition) |
| m(rt) = (mr)t | Associative (variables) |
| 5 + ( 3 + 6) = (5 + 3) = 6 | Associative (numbers) |
