| A | B |
| COMMUTATIVE PROPERTY | 3 + 8 = 8 + 3 |
| ASSOCIATIVE PROPERTY | 2 + (5 + 9) = (2 + 5) + 9 |
| DISTRIBUTIVE PROPERTY | 5(x + 6) = (5 * x) + (5 * 6) |
| ADDITIVE IDENTITY | 4 + 0 = 4 |
| MULTIPLICATIVE IDENTITY | 7 * 1 = 7 |
| ADDITIVE INVERSE | 3 + (-3) = 0 |
| MULTIPLICATIVE INVERSE | 2 * 1/2= 1 |
| ADITIVE PROPERTY OF EQUALITY | If 2+5 =7, then 2+5+7 = 7+7 |
| SUBTRACTION PROPERTY OF EQUALITY | If 4+8=12, then 4+8-3=12-3 |
| MULTIPLICATION PROPERTY OF EQUALITY | If 2*3=6, then 2*3*5=6*5 |
| DIVISION PROPERTY OF EQUALITY | If 6*4=24, then (6*4)/2=24/2 |
| CLOSURE | When you combine any two elements of a set, the result is also included in that set. |
| TRICHOTOMY PROPERTY | When any two numbers, a and b, are compared, a<b, a=b, or a>b. |