**
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.