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PA Prop FillIn Ch1-2

Name/StartEnd
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
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