**
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
.