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×b)×c = 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 1×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 0×a = 0.