# How do you simplify -8.2+6*(5-7) using PEMDAS?

Jun 11, 2017

$- 20.2$

#### Explanation:

$\text{evaluating using PEMDAS}$

[Parenthesis (brackets),Exponents (powers), Multiplication, Division, Addition, Subtraction]

$- 8.2 + 6 \times \left(- 2\right) \leftarrow \textcolor{red}{\text{ brackets}}$

$= - 8.2 - 12 \leftarrow \textcolor{red}{\text{ multiplication}}$

$= - 20.2 \leftarrow \textcolor{red}{\text{ subtraction}}$

Jun 11, 2017

$- 8.2 + 6 \cdot \left(5 - 7\right) = - 20.2$

#### Explanation:

PEMDAS stands for order of operations i.e. parentheses, then exponents, then multiplication and division and finaly addition and subtraction.

Hence $- 8.2 + 6 \cdot \left(5 - 7\right)$

= $- 8.2 + 6 \cdot \left(- 2\right)$ $\to$ simplifying parentheses

= $- 8.2 + \left(- 12\right)$ $\to$ doing multiplication

= $- 8.2 - 12$

= $- 20.2$