Question

the *product* of 14 integers is 1,can their *sum* be 0. if yes then prove with an example,if no then explain.

Answer 1

Answer:

I take 7 integers as 1 and 7 as -1

Product=1(-1)1(-1)1(-1)1(-1)1(-1)1(-1)1(-1)=1

Sum=1+(-1)+1+(-1)+1+(-1)+1+(-1)+1+(-1)+1+(-1)+1+(-1)=0

Since product of 14 integers is 1 and sum is 0

Hence proved

Answer 2

Answer:

The product of 14 integer is 1 and sum is 0