Question

Determine the sign of the product of given integers:

Two negative integers

Answer 1

Multiplying two negative integers

The product of two negative integers gives a positive integer as the result.

If $-a,-b$ are two negative integers, then $(-a)\times (-b)=ab.[\because \left(-\right)\times \left(-\right)=\left(+\right)]$

Example: $\left(-2\right)\times (-5)=+(2\times 5)=+10$

The product of two negative integers is a positive integer.

Therefore, The sign of the product of two negative integers is always positive.