How do you simplify 3^3 - 8 times 3 ÷ 12 using PEMDAS?

Jul 29, 2016

$25$

Explanation:

Count the number of terms first. Each term must end in an answer.
You can work in different in the same step.

In the last step all the answers will be added or subtracted.

Do powers and roots first because they are the strongest operations.

Multiplication and division are equally strong and can be done together.

$\textcolor{b l u e}{{3}^{3}} - \textcolor{red}{8 \times 3 \div 12} \text{ there are 2 terms}$

=$\textcolor{b l u e}{27} - \textcolor{red}{\frac{8 \times 3}{12}}$

=$\textcolor{b l u e}{27} - \textcolor{red}{\frac{24}{12}}$

=$\textcolor{b l u e}{27} - \textcolor{red}{2}$

=$25$