# Properties by X30B9b

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```									                    Properties
The additive inverse property tells us to simply
take a number and add its opposite so we get
zero.

Example 1           6  ( 6)  0
-6 is the additive inverse of 6.
Properties
Example 2
The multiplicative inverse is when you take a
number and multiply it by its reciprocal so you
get one.
1
5     1
5
1 is the multiplicative inverse of -5.
So,   
5
Properties
Example 3          Identity Properties
Very simple, the identity of addition is zero,
and the identity of multiplication is one.

15  0  15 and                        6 1  6
Notice the identities give you back the number you
started with.
Properties
Identify and label the following properties.

A.       8  6  0  14
B.        1
8( )  1
8
C.      a(b  c)  ab  ac
Properties
Identify and label the following properties.

A.
25  19  19  25
B.     2(4  5)  (2  4)5

C.            qp  1  qp
Properties

Identify the property given.
a.      (a  b)  c  c  (b  a)
b.      4 x ( x  4)  4 x  16 x
2

c.      a (bc)  (ab)c
Distributive property.

Evaluate each of the following.
1. 6(8 - x) =                     2.   ( x  6)3 

3.   x ( x  5)                   4. m(n  p) 

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