Question

Find the product or quotient.

$-12\left(-16\right)$

Short answer

The product of the numbers is $192$.

Step-by-step solution

Step-1 – Apply the concept of product

The product of two similar sign numbers is always positive.

The product of two numbers with different signs is always negative.

Step-2 – Example for product of numbers

The product of two positive numbers is positive as well. For example:$7\times 3=21$.

The product of two negative numbers is positive. For example:$\left(-7\right)\times \left(-3\right)=21$.

And the product of two numbers with different signs is negative.

For example:localid="1649348211187" $3\left(-7\right)=-21\text{or}7\left(-3\right)=-21$.

Step-3 – Evaluate the product

To evaluate the product $-12\left(-16\right)$,observe that the sign of both numbers is similar. So, the product will be positive

$\begin{array}{c}-12(-16)=+(12\cdot 16)\\ =192\end{array}$

Thus, the product of the given numbers is $192$.