# Prealgebra: Operations

### Terms

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 .

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