Q:

Is 0 a real number?

I am just curious if 0 is a real number. The definition of a real number is all rational and irrational numbers. And the def definition for rational number is that "$\mathbb{Q}={a\div b|a,b\in\mathbb{Z}}$".
But in done say that $0$ is a whole number and some day that it is not.
In some websites some say that $0$ is a real number, and in some not.
Please help me.
Thanks in advance

A:

$\mathbb{Q}$, the set of rational numbers, is the set $\{\frac{a}{b}:a,b\in\mathbb{Z}, b\neq 0\}$
$\Rightarrow 0=\frac0b$ is a rational number, where $0,b\in\mathbb{Z}, b\neq 0$.

