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)
Closure Property of Multiplication Product (or quotient if denominator 0) of 2 reals equals a real number
Multiplicative Identity a * 1 = a
Multiplicative Inverse a * (1/a) = 1 (a 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)