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A1 Prop Ch1-3
| Name | Symbols |
|---|---|
| Commutative (Addition) | a + b = b + a |
| Commutative (Multiplication) | ab = ba |
| Associative (Addition) | (a + b) + c = a + (b + c) |
| Associative (Multiplication) | (ab)c = a(bc) |
| Identity (Addition) | a + 0 = a |
| Identity (Multiplication) | a x 1 = a |
| Zero Product | a x 0 = 0 |
| Inverse (Addition) | a + (-a) = 0 |
| Inverse (Multiplication) | a • 1/a = 1 |
| Transitive | If a = b and b = c, then a = c |
| Addition Property of Equality | If a = b, then a + c = b + c. |
| Multiplication Property of Equality | If a = b, then ac = bc. |