# How do you simplify -6 -3 (12- 2^3) ÷ 4 using PEMDAS?

Aug 3, 2016

$- 6 - 3 = - 9$

#### Explanation:

This is a nice example of the fact that in a calculation, multiplication and division can be done in any order.

-6 -3(12-color(red)(2^3))div4)

-6 -3(ul(12-color(red)8)))div4)

-6 -3xx(color(red)4)div4)

At this stage we can do either:

-6 -color(blue)((3xx4))div4) = -6 -color(blue)((12))div4 = -6-3

OR

$- 6 - 3 \times \left(\textcolor{m a \ge n t a}{4 \div 4}\right) = - 6 - 3 \times \textcolor{m a \ge n t a}{1} = - 6 - 3$

The second term can also be written as:

$- 6 - \frac{\textcolor{g r e e n}{3 \times 4}}{4}$

Finally: $- 6 - 3 = - 9$