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Basic Algebra Identities
Closure Property of Addition Sum (or difference) of 2 reals equals a real number
Additive Identity a + 0 = a
Additive Inverse a + (-a) = 0
Associative of Addition (a + b) + c = a + (b + c)
Commutative of Addition a + b = b + a
Definition of Subtraction a - b = a + (-b)
Subtraction Property if a = b, then a - c = b - c
Closure Property of Multiplication Product (or quotient if denominator does not = 0) of 2 reals equals a real number
Multiplicative Identity a * 1 = a
Multiplicative Inverse a * (1/a) = 1     (a does not  = 0)
Multiplication times 0 a * 0 = 0
Definition of Division a / b = a(1/b)