# What does non-zero integer mean?

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 http://en.wikipedia.org/wiki/List_of_types_of_numbers#cite_note-1

What does non-zero integer mean?

• It means an integer that's not zero. – Qiaochu Yuan Dec 11 '14 at 6:35
• Not equal to zero for rationals we can't divide by zero so it needs to be non zero. – dustin Dec 11 '14 at 6:36
• -1, -2, 1, 3, 5, 7 are all examples of non-zero integers. 0 however is zero and not non-zero... – Dair Dec 11 '14 at 6:36
• do you know what zero is? do you know what non is? – Rustyn Dec 11 '14 at 6:45

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.