Question

What will be the sign of the product if we multiply together

$21$negative integers and $3$ positive integers?

Answer 1

If negative integers appears odd number of times in a product, the final product is negative. Hence, If we multiply $21$ negative integers we get a negative integer .

Now multiplying a negative integer by $3$positive integers, we get a negative integer.

$\left[\left(-\right)\times \left(+\right)=\left(-\right)\right]$

Hence, if we multiply together $21$negative integers and $3$positive integers, the sign of the product will be negative.