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What will be the sign of the product, of multiply together1. 8 negative Integers and 1 positive Integers? please answer correct and with the solution​

Answer»

Step-by-step explanation:

The answer is negative. Odd numbers of negative integers when multiplied yield negative integer only. Consider an integer -x = (-1)*x. Let -y be another integer.

Then product of -x * -y = (-1)^2* xy = xy

similarly - x* -y* -Z = (-1)^3* xyz = -xyz

-x*-y*-z*-s = (-1)^4* xyzs = xyzs

proceeding same way, you will observe that multiple of odd negative numbers are RESULTING in negative digit while multiples of even negative numbers will result in POSITIVE digits. A digit when multiplied by positive numbers, the sign of the resultant digit wont change. Hence the answer should be a positive.



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