# What is the opposite and reciprocal of -4?

##### 3 Answers

The opposite is the negation,

The reciprocal is

#### Explanation:

#"the opposite of a number is the negative of the number"#

#rArr"opposite of "-4" is "-(-4)=4#

#"the reciprocal of any number n is "1/n#

#rArr"reciprocal of "-4" is "1/(-4)=-1/4#

The additive inverse of

The reciprocal of

#### Explanation:

There are two types of 'opposites':

Opposites for adding and opposites for multiplying.

Adding opposites are known as "Additive inverses".

Their sum is always

They have the same value but opposite signs,

Multiplying opposites are known as "multiplicative inverses"

which are also known as "reciprocals'.

Their product is always

(The number is inverted to find its reciprocal)