In a multiplication expression, if the number of negative integers is even, then the resultant integers will always be positive integers. And if the number of negative integers is odd, then the resultant integers will always be negative integers.
Let's try following example and understand this better
Example 1 = (-2) X (-2)
Answer = 4
Example 2 = (-2) X (-3) X (-1)
Answer = (-6)
Example 3 = (-2) X (-5) X (-3) X (-1)
Answer = 15
Example 4 = (-2) X (-2) X (-2) X (-2) X (-2)
Answer = (-32)
So from the above you can see that in example-1 & example-3 number of negative integers is even i.e. two & four and hence their product is also a positive integers i.e. 4 & 15.
And example-2 & example-4 number of negative integers is odd i.e. three & five and hence their product is also a negative integers i.e. (-6) & (-32).
|
