**Ann
Neidhardt**

**4-22-02**

**
**

__Associative
Property__

**~Any
of the 3 numbers can be associated in different orders and they will still equal
each other.**

Multiplication: (a*b) c = a (b*c)

Addition: (a + b) + c = a + (b + c)

__Inverse
Property__

**~Any
number times its inverse will equal 1 and any number added to its inverse will
equal 0.**

Multiplication: a * (1/a) = 1 and a = 0

Addition: a + (-a) = 0

__Commutative
Property__

**~The numbers “commute” around the
problem. Whether you have “a” first or “b” first the answer will be the same.**

Multiplication: a * b = b * a

Addition: a + b = b + a

__Identity
Property__

**~Any
real number multiplied by 1 or added to 0 will always turn out to be that number.**

Multiplication: a * 1 = a

Addition: a + 0 = a

__Distributive
Property__

**~
Distribute the “a” throughout the problem**

Multiplication over subtraction: a (b – c) = a*b – a*c

Multiplication over addition: a (b + c) = a*b + a*c

**
**

__Reflexive
Property__

**~
Any Number will always equal itself**

a = a.

__Symmetric__

**~If
one number equals another, **

**than
the other number also equals the first.**

If a = b, then b = a

__Addition
Property__

If a = b and c = d, then a + c = b + d.

__Transitive
Property__

If a = b and b = c, then a = c.

__Multiplication
Property__

If a = b and c = d, then a * c = b * d.