Question

Is 2.01 a rational, integer, natural, irrational?

Answer 1

So long as `2.01` is an exact value and not an approximation, then it is a rational number, being equal to `201/100`.

It is not an integer, natural number or irrational.

Explanation:

Natural numbers are the numbers `0, 1, 2, 3,...` or `1, 2, 3,...`. Some definitions include `0` and some don't.

Integers are whole numbers or negative versions of them, that is: `0, 1, -1, 2, -2, 3, -3,...`

Rational numbers are 'fractions' of integers. That is they are all the numbers of the form `p/q` where `p` and `q` are both integers and `q != 0`.

Irrational numbers are numbers which are not rational, that is they are not expressible as `p/q` for some integers `p` and `q` with `q != 0`.

`2.01` is rational because `2.01 = 201/100` and both of `201` and `100` are integers.