Mathematical Properties for Grade 9

Front

Commutative Property of Addition

Back

a + b = b + a

Front

Commutative Property of Multiplication

Back

a ⋅ b = b ⋅ a

Front

Associative Property of Addition

Back

(a + b) + c = a + (b + c)

Front

Associative Property of Multiplication

Back

(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)

Front

Distributive Property

Back

a(b + c) = ab + ac

Front

Identity Property of Addition

Back

a + 0 = a

Front

Identity Property of Multiplication

Back

a ⋅ 1 = a

Front

Inverse Property of Addition

Back

a + (-a) = 0

Front

Inverse Property of Multiplication

Back

a ⋅ 1/a = 1 (for a ≠ 0)

Front

Zero Property of Multiplication

Back

a ⋅ 0 = 0