# Is -12 a rational number?

Mar 29, 2016

Yes

#### Explanation:

By definition, the set $\mathbb{Q}$ of rational numbers is basically all the numbers that can be written as an integer over an integer, ie all the fractions.
$\mathbb{Q} = \left\{\frac{m}{n} | m , n \in \mathbb{Z} , n \ne 0\right\}$.

Since $- 12$ can be written as $- \frac{12}{1}$, it implies it is a rational number, ie $- 12 \in \mathbb{Q}$.