Is 2.01 a rational, integer, natural, irrational?

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Answer 1 · 2015-06-26T21:19:24

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

It is not an integer, natural number or irrational.

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.