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19 terms

Properties od Operations, Identities, and Equality

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a + b = b + a
Commutative Property of Addition
a × b = b × a
Commutative Property of Multiplication
a + (b + c) = (a + b) + c
Associative Property of Addition
a × (b × c) = (a × b) × c
Associative Property of Multiplication
a × (b + c) = a × b + a ×c
Distributive Property of Multiplication over Addition
a + 0 = a
Additive Identity Property
a × 1 = a
Multiplicative Identity Property
a + (-a) = 0
Additive Inverse Property
(a / b) × (b / a) = 1
Multiplicative Inverse Property
a × 0 = 0
Multiplicative Property of Zero
a^b = a^c if b = c
Exponential Property of Equality
If a = b, then a + c = b + c
Addition Property of Equality
If a = b, then a − c = b − c
Subtraction Property of Equality
If a = b, then ac = bc
Multiplication Property of Equality
If a = b, then a/c = b/c
Division Property of Equality
a = a
Reflexive Property of Equality
If a = b, then b = a
Symmetric Property of Equality
If a = b and b = c, then a = c
Transitive Property of Equality
If a = b, then b may be substituted for a in any expression containing a
Substitution Property