
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.