# What is the opposite and reciprocal of 0.2?

Jul 9, 2015

The opposite of $0.2$ is $- 0.2$.
The reciprocal of $0.2$ is $5$.

#### Explanation:

The opposite of a number is the additive inverse, which when added to the number, the result equals zero.

$0.2 + \left(- 0.2\right) = 0.2 - 0.2 = 0$

The reciprocal of a number is the multplicative inverse of the number, which when multiplied times the number, the result is $1$.

$0.2 = \frac{2}{10}$

Reciprocal$=$$\frac{10}{2} = 5$

$\frac{2}{10} \cdot \frac{5}{1} = \frac{10}{10} = 1$