# How do you simplify -2+3(-5*2-6/3) using PEMDAS?

Oct 5, 2016

$- 38$

#### Explanation:

Rather thanblindly following PEDMAS, BODMAS or whatever form you know .... work with TERMS.
Do Brackets first, then from strongest to weakest operations

There are 2 terms. Work out each separately.

Inside the bracket there are 2 terms. Work out each separately.

$\textcolor{\lim e}{- 2} + 3 \left(\textcolor{red}{- 5 \times 2} - \textcolor{b l u e}{\frac{6}{3}}\right)$

$= \textcolor{\lim e}{- 2} + 3 \left(\textcolor{red}{- 10} - \textcolor{b l u e}{2}\right) \text{ } \leftarrow$work out terms inside the bracket

$= \textcolor{\lim e}{- 2} + \textcolor{m a \ge n t a}{3 \times \left(- 12\right)} \text{ } \leftarrow$ now multiply

$= \textcolor{\lim e}{- 2} \textcolor{m a \ge n t a}{- 36} \text{ } \leftarrow$ add or subtract happens last.

$- 38$

Note that the -2 term was in its simplest form and was not used at all until the last line.