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11 terms

Algebraic Properties

A description of the Algebraic Properties.
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Reflexive
a = a
Symmetric
if a = b then b = a
Transitive
if a = b and b = c then a = c
Commutative
a + b = b + a
Commutative
a * b = b * a
Associative
a + (b + c) = (a + b) + c
Associative
a * (b * c) = (a * b) * c
Distributive
a(b + c) = a * b + a * c
Distributive
a(b - c) = a * b - a * c
Additive Identity
a + 0 = a
Multiplicative Identity
a * 1 = a