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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 The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

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Page 1: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

PropertiesThe 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.

Page 2: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

PropertiesExample 2

The multiplicative inverse is when you take a number and multiply it by its reciprocal so you get one.

So,

51

51

1

5is the multiplicative inverse of -5.

Page 3: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

PropertiesExample 3

Identity PropertiesVery simple, the identity

of addition is zero, and the identity of multiplication is one.15 0 15 1 6 and 6Notice the identities give you back the number you started with.

Page 4: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

PropertiesIdentify and label the following properties.

8 6 0 14

81

81( )

a b c ab ac( )

A.

B.

C.

Page 5: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

PropertiesIdentify and label the following properties.

PropertiesIdentify and label the following properties.

25 19 19 25

2 4 5 2 4( ) ( )5

qp qp 1

A.

B.

C.

Page 6: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

Properties

Identify the property given.

( ) ( )a b c c b a a.

b.

c.

4 4 4 162x x x x( )

a bc ab c( ) ( )

Page 7: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of

Distributive property.

Evaluate each of the following.

1. 6(8 - x) = 2.

4.

( )

. ( ) ( )

x

x x m n p

6 3

3 5

Page 8: Properties The additive inverse property tells us to simply take a number and add its opposite so we get zero. Example 1 -6 is the additive inverse of