# How do you simplify 8 + 1/2 (4)^2 - 5 using PEMDAS?

Aug 1, 2016

$11$

#### Explanation:

First find the number of terms. In this case there are three.
Each term will simplify to a single answer. They will be added or subtracted in the last step.

$\textcolor{red}{8} \textcolor{b l u e}{+ \frac{1}{2} {\left(4\right)}^{2}} \textcolor{m a \ge n t a}{- 5}$

Do the most powerful operation first- powers and roots,

color(red)(8)color(blue)( + 1/2 (16)color(magenta)( - 5)

$\textcolor{red}{8} \textcolor{b l u e}{+ 8} \textcolor{m a \ge n t a}{- 5}$

$= 11$