Question

Which expression has a value of 12?

$\begin{array}{l}f.\frac{-144}{-12}\\ g.\frac{36}{-3}\\ h.2(-6)\\ i.-3\left(4\right)\end{array}$

Short answer

The expression which has the value 12 is $\frac{-144}{-12}$.

Step-by-step solution

Step-1 – Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $...,-4,-3,-2,-1,0,1,2,3,4,...$

Step-2 – Evaluate the values

The value of the expression $\frac{-144}{-12}$is 12, because the quotient two similar sign numbers is always positive.

The value of the expression $\frac{36}{-3}$is –12, because the quotient two different sign numbers is always negative.

The value of the expression $2\left(-6\right)$ is –12, because the product of two opposite sign numbers is always negative.

The value of the expression $-3\left(4\right)$is –12, because the product of two opposite sign numbers is always negative.

Step-3 – Conclusion

Thus, the expression which has a value of 12 is $\frac{-144}{-12}$.

Hence option (f) is correct.