• ### Associative Property of Addition

For any numbers a, b, and c, it is true that (a + b) + c = a + (b + c).

• ### Associative Property of Multiplication

For any numbers a, b, and c, it is always true that (a×bc = a×(b×c).

• ### Commutative Property of Addition

For any numbers a and b, it is true that a + b = b + a.

• ### Commutative Property of Multiplication

For any numbers a and b, it is true that a×b = b×a.

• ### Distributive Property of Multiplication

For any numbers a, b, and c, it is true that a×(b + c) = (a×b) + (a×c).

• ### Expression

A representation of a number. 5 + 3 and 10 - 2 are both expressions that represent the number 8.

• ### Identity Property of Addition

A number does not change when 0 is added: for any number a, it is true that a + 0 = a. It is also true that 0 + a = a.

• ### Identity Property of Multiplication

A number does not change when it is multiplied by 1: for any number a, it is true that a×1 = a. It is also true that a = a.

• ### Inverse Operation

An operation that "reverses" another operation. Addition and subtraction are inverses of each other, as are multiplication and division.

• ### Order of Operations

The order in which to carry out operations when evaluating an expression-- parenthesis, multiplication, division, addition, subtraction.

• ### Zero Product Property

Of multiplication. For any number a, it is true that a×0 = 0 and a = 0.