# How do you simplify 2[-4+3(-7+4)] using PEMDAS?

Start with the innermost bracket and work out to get $- 26$

#### Explanation:

PEDMAS refers to the order in which we solve an equation:

Parentheses (I tend to call them Brackets)
Exponentials
Multiplication
Division
Subtraction

$2 \left[- 4 + 3 \left(- 7 + 4\right)\right]$

So we have 2 times a big bracket and within that bracket there is 3 times a smaller bracket. Since we do brackets first and the innermost brackets:

$2 \left[- 4 + 3 \left(- 3\right)\right]$

We can multiply the 3 by the result of the small bracket (-3):

$2 \left[- 4 - 9\right]$

$- 4 - 9$ is inside the big bracket, so let's do that:

$2 \left[- 13\right]$

$- 26$

Aug 1, 2016

$- 26$

#### Explanation:

There is only one term, but there are 2 terms inside the square bracket. Work from the inner bracket.

$2 \left[\textcolor{b l u e}{- 4} + 3 \textcolor{red}{\left(- 7 + 4\right)}\right]$

=$2 \left[\textcolor{b l u e}{- 4} + 3 \textcolor{red}{\left(- 3\right)}\right]$

=$2 \left[\textcolor{b l u e}{- 4} - \textcolor{red}{9}\right]$

=$2 \times \left(- 13\right)$

=$- 26$