Is $\Bbb Q$ countable or uncountable? I know how to do the proof in terms of using Analysis but how do you do the proof for someone that does not have that much proof experience:
Prove that $\Bbb Q$ is a countable set.

Here is a proof that only involves countability of $\mathbb{Z}$ and $\mathbb{Q} \backslash \mathbb{Z}$. (http://www2.fiu.edu/~storferr/rat.num.ctble%5b1%5d.pdf)
