# What is the opposite and reciprocal of 200?

May 18, 2018

The reciprocal of 200=$\frac{1}{200}$ or $5 \times {10}^{- 3}$

May 18, 2018

It is $- \frac{1}{200}$. See explanation.

#### Explanation:

A reciprocal of a rational number $\frac{p}{q}$ is obtained by changing the numerator and denominator, so it is $\frac{q}{p}$; the opposite reciprocal is then $- \frac{q}{p}$

Number $200$ can be expressed as $\frac{200}{1}$, so according to the algorythm from the above paragraph its reciprocal is $- \frac{1}{200}$

May 18, 2018

$- 200 \text{ and } \frac{1}{200}$

#### Explanation:

$\text{ the opposite of a number is the negative of the number}$

$\text{opposite of 200 is } - 200$

$\text{the reciprocal of any number n is } \frac{1}{n}$

$\text{reciprocal of 200 is } \frac{1}{200}$