Question

The sign of the product of 8 negative integer and 1 positive integer is______​

Answer 1

Answer:

❅POSITIVE❅

⍆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.

⍆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.

$-x*-y*-z*-s = (-1)^4* xyzs = xyzs \\ </p><p>similarly - x* -y* -z = (-1)^3* xyz = -xyz \\ </p><p>Then product of -x * -y = (-1)^2* xy = xy$