Question

If we multiply a negative integer by a negative integer, the sign of the evaluated value would be

• A. Negative
• B. Positive
• C. Either positive or negative
• D. Cannot be determined

Answer 1

The correct option is B Positive

If we multiply a negative integer by a negative integer, the sign of the evaluated value would be POSITIVE.

For an example, let's multiply $-2$ by $-5$.

$-2\times -5=(-1)\times 2\times (-1)\times 5=(-1\times -1)\times (2\times 5)$

We know that $(-1\times -1)$ manifests $1$ step jump in an interval of $1$ to the right of $0$, which concludes at $1$. So, $-1\times -1=1$.

$\therefore -2\times -5=1\times (2\times 5)=1\times 10=10$

Hence, the multiplication of two negative integers always gives a positive value.