What does non-zero integer mean?

$\begingroup$

The definition for the Rational Number is given as Numbers that can be expressed as a fraction of an integer and a non-zero integer. at

What does non-zero integer mean?

$\endgroup$ 4

2 Answers

$\begingroup$

An integer is any whole number or its negative, e.g. ..., -2, -1, 0, 1, 2, ...

A non-zero integer is any of these but 0.

Your definition of a rational number is just a mathematically rigorous way of saying that a rational number is any fraction of whole numbers, possibly with negatives, and you can't have 0 in the denominator.

$\endgroup$ $\begingroup$

Set of all integer is $\mathbb{Z=}${$0,\pm1,\pm2,\pm3, \ldots\ldots,\pm{1000 \ldots}$}. So just remove $0$ from $\mathbb{Z}$. Rest any of these infinite numbers can be used.

$\endgroup$

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy