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PA Prop FillIn Ch1-3
| Name/Start | End |
|---|---|
| Substitution: If a = b then | a can be replaced by b |
| 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 |
| Symmetric: If a = b then | b = a |
| Transitive: If a = b and b = c, then | a = c |
| Inverse (Addition): a + | (–a) = 0 |
| Distributive: a(b+c) = | ab + ac |
| Addition Property of Equality: if a = b then | a + c = b + c |
| Multiplication Property of Equality: if a = b then | ac = bc |
| Inverse (Multiplication): a x | 1/a = 1 |