1. Properties of Operations

2. Properties of Operations
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
a • b = b • a
Associative Property of Addition
(a + b) + c = a + (b + c)
Associative Property of Multiplication
(a • b) • c = a • (b • c)

3. Properties of Operations
Distributive Property
a(b + c) = ab + ac and ab + ac = a(b + c)
Addition Property of Zero (Additive Identity Element)
a + 0 = a and 0 + a = a
Additive Inverse
a + (-a) = 0 and (-a) + a = 0

4. Properties of Operations
Multiplication Property of One (Multiplicative Identity Element)
a • 1 = a and 1 • a = a
Multiplicative Inverse
a • 1/a = 1
Multiplication Property of Zero
a • 0 = 0 and 0 • a = 0