Dave's Math Tables: Basic Identities |
(Math | Algebra | Basic Identities) |
Closure Axiom of Addition
Additive Identity
Additive Inverse
Associative of Addition
Commutative of Addition
Definition of Subtraction
Closure Axiom of Multiplication
Multiplicative Identity
Multiplicative Inverse
(Multiplication times 0)
Associative of Multiplication
Commutative of Multiplication
Distributive Law
Definition of Division
Sum (or difference) of 2 reals equals a real number
a + 0 = a
a + (-a) = 0
(a + b) + c = a + (b + c)
a + b = b + a
a - b = a + (-b)
Product (or quotient if denominator 0) of 2 reals equals a real number
a * 1 = a
a * (1/a) = 1 (a 0)
a * 0 = 0
(a * b) * c = a * (b * c)
a * b = b * a
a(b + c) = ab + ac
a / b = a(1/b)