Question

Is `0.99999999` a rational, irrational number, natural, whole or integer?

Answer 1

If it stops after 8 decimal places then it is a rational number,

equal to `99999999/100000000`.

If it is a an infinitely recurring patten of `9`'s, then it is equal to `1`.

Explanation:

A rational number is any number that can be expressed as `p/q` for some integers `p` and `q`, with `q != 0`.

`1` is a rational number, being equal to `1/1`. It is also a natural number, whole and integer.

If you are familiar with the 'dot' notation for recurring decimals, then you can write:

`0.dot(9) = 1.0`

If you are not sure this is so, try subtracting:

`1.0 - 0.dot(9)`

and see that you get `0.dot(0) = 0`