Question

Question #0172a

Answer 1

A rational number "is any number that can be expressed as the quotient or fraction `p/q` of two integers, a numerator `p` and a non-zero denominator `q`. Since `q` may be equal to `1`, every integer is a rational number" (Wikipedia).

Explanation:

The numbers given to us have a bar on the top. In case you don't know what that means, if we translate number `21` we get this:

`-0.11111111111111...`(extending until infinite `1`'s)

So, is this a rational number? Yes, because you can (as the definition from Wikipedia states), `-0.1111111111111111...` can also be expressed as the fraction `-1/9`, where `p=-1` and `q=9`.

Similarily, you will find number `22` to also be expressed as a fraction. I will not show the process here because you probably get the point.

Therefore, both number `21` and `22` are rational numbers.

I hope that helps!