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

Question

1482 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-03T09:06:22

$-6-3 = -9$

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

$-6 -3xx(color(magenta)(4div4)) = -6-3xxcolor(magenta)1 = -6-3$

The second term can also be written as:

$-6 -color(green)(3xx4)/4$

Finally: $-6-3 = -9$

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