Basic Identities
Definitions:
- a: Real Number a
- b: Real Number b
- c: Real Number c
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
Subtraction
a - b = a + (-b)
Multiplicative Identity
a * 1 = a
Multiplicative Inverse
a * (1/a) = 1 (if a is not 0)
Multiplication times 0
a * 0 = 0
Associative of Multiplication
(a * b) * c = a * (b * c)
Commutative of Multiplication
a * b = b * a
Distributive Law
a(b + c) = ab + ac
Definition of Division
a / b = a(1/b)
