# How do you simplify 40 - 35 / 5 * 2 + 4 using PEMDAS?

Aug 2, 2016

$30$

#### Explanation:

There are 3 terms. Keep them separate until the last step when we can do the additions and subtractions.

$\textcolor{m a \ge n t a}{40} \textcolor{b l u e}{- \frac{35}{5} \cdot 2} \textcolor{red}{+ 4}$

$\textcolor{m a \ge n t a}{40} \textcolor{b l u e}{- \frac{{\cancel{35}}^{7} \times 2}{\cancel{5}}} \textcolor{red}{+ 4}$

color(magenta)(40)color(blue)( - 14 color(red)(+ 4) " Note: this is NOT "color(magenta)(40)color(blue)( - (14 +4))

Place the additions at the beginning for ease of calculation.

color(magenta)(40) color(red)(+ 4)color(blue)( - 14

=$30$