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Starting from $(-1)\times5$, write various products showing some pattern to show $(-1)\times(-1)=1$.
To do:
We have to write various products showing some pattern to show $(-1)\times(-1)=1$.
Solution:
Few products showing the pattern to show $(-1)\times(-1)=1$ are:
$(-1)\times 5=-5$
$(-1)\times 4=-4$
$(-1)\times 3=-3$
$(-1)\times 2=-2$
$(-1)\times 1=-1$
$(-1)\times 0=0$
$(-1)\times (-1)=1$
Thus, from the observation of the patterns generated above, it becomes clear that on multiplying a negative integer by a positive integer we get the negative integer as a result, and on the other hand on multiplying a negative integer by a negative integer the result is always a positive integer.
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