Is there a word for whether something has the property of being positive or negative such as "parity" for being odd or even?
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1This is easy to find on Google, just searching "property of being positive or negative mathematics" works fine. – projectilemotion Jun 13 '17 at 17:41
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The word you are looking for is "sign". For instance, we would say $-5$ has negative sign, and $5$ has positive sign. The sign function is defined to be $x \mapsto |x|/x$ for $x \ne 0$.

Mr. Chip
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