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For each part, if no such number exists, enter DNE or NONE.

Give an example of a whole number that is not an integer.

Give an example of an integer that is not a whole number.

Give an example of a rational number that is not an integer.

Give an example of a irrational number.

Give an example of a irrational number that is also an integer.

Solution

Since all whole numbers belong to integers, we cannot write any whole number which is not an integer. Type DNE (does not exist) for this question.

Any negative integer, like $-1$ , is not a whole number, but is an integer.

Any terminating decimal, like $1.2$ , is a rational number, but is not an integer.

$\pi$ is the easiest number to remember as an irrational number. Another constant worth knowing is $e\approx2.718$ . Finally, the square root of most integers are irrational, like $\sqrt{2}$ and $\sqrt{3}$ .

All irrational numbers are non-repeating and non-terminating decimals. No irrational numbers are integers.