| A | B |
|---|
| Equivalent Expressions | expressions are equal in value |
| Deductive Reasoning | the process of reasoning logically from given facts to a conclusion |
| Counter Examples | an example showing that a statement is false |
| Commutative Property of Adding | a + b = b + a (order switches) |
| Commutative Property of Multiplication | ab = ba (order switches) |
| Associative Property of Addition | (a + b) + c = a + (b + c) (order stays the same; grouping is different) |
| Associative Property of Multiplication | (ab)c = a(bc) (same order; grouping different) |
| Additive Identity | b + 0 = b (add zero, the number stays the same) |
| Multiplicative Identity | a ×1 = a (multiply any number by 1, it stays the same) |
| Zero Property of Multiplication | a × 0 = 0 (any number multiplied by 0 = 0) |
| Multiplication Property of -1 | y × -1 = -y (multiply any number by -1, it becomes its negative) |
