# How do you find the reciprocal of 1/10?

Oct 21, 2016

The reciprocal of $\frac{1}{10}$ is $\frac{10}{1}$

#### Explanation:

The reciprocal is also known as the multiplicative inverse, or in easy language, the "multiplying opposite".

It simply means that the number (always a fraction) is flipped upside down.

The reciprocal of $\frac{a}{b}$ is $\frac{b}{a}$

The reciprocal of $\frac{1}{10}$ is $\frac{10}{1}$

The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$

The reciprocal of $- \frac{8}{5}$ is $- \frac{5}{8}$

The reciprocal of $4$ is $\frac{1}{4}$

The product of a number and its reciprocal is always $1$

$\frac{1}{10} \times \frac{10}{1} = 1$

$- \frac{8}{5} \times - \frac{5}{8} = 1$