Why we have a number system where(adsbygoogle = window.adsbygoogle || []).push({});

-a x b = b x (-a)

i.e. why we dont have a system where

-a x b not equal to b x (-a)

and

-a x (-b) = - a x b

a x b = a x b

so that the multiplication/ divison of two -ve numbers results in a -ve number and that of +ve numbers in to a +ve number.

Any comments

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# Number system: a basic question

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