# Question #1ee96

Aug 9, 2016

$+ 2 \frac{1}{4} \mathmr{and} - \frac{4}{9}$

#### Explanation:

The term "opposite" probably refers the the value which is the distance from 0 on the numberline, but on the opposite side.
The opposite of $- 2 \frac{1}{4} i s + 2 \frac{1}{4}$

This is also known as the 'additive inverse'

Additive inverses have the property that their sum is 0.

$- 2 \frac{1}{4} + 2 \frac{1}{4} = 0$

The 'reciprocal' of a number is the number 'turned upside down'.

It is also known as the multiplicative inverse.

Reciprocals have the property that their product is equal to 1.

$- 2 \frac{1}{4} = - \frac{9}{4}$ Its reciprocal is $- \frac{4}{9}$

$- \frac{9}{4} \times - \frac{4}{9} = 1$