# What kind of rational number is 0?

A number $\setminus \alpha$ is said to be rational if there exist two integer numbers $n$ and $m$ such that $\setminus \alpha = \setminus \frac{m}{n}$. In particular, all integer numbers are rational numbers (which is what we mean when we say that $\setminus m a t h \boldsymbol{Z} \setminus \subset \setminus m a t h \boldsymbol{Q}$), because you can choose $m = \setminus \alpha$ and $n = 1$. And 0 is no different from all other integers: you can pick $m = 0$, and for any $n \setminus \ne 0$ you have that $\setminus \frac{m}{n} = \setminus \frac{0}{n} = 0$, and so 0 is a rational number. If you can explain what you exactly meant with "what kind of rational", I'll be glad to answer:)