# How do you simplify (-380) + 38 + 380 div (-38)?

Jan 6, 2018

$- 352$

#### Explanation:

$\left(- 380\right) + 38 + 380 \div \left(- 38\right)$

Use PEMDAS :

$- 380 + 38 + 380 \div - 38$

Division to be carried out first:

$\implies - 380 + 38 + \frac{380}{-} 38$

$\implies - 380 + 38 - 10$

$\implies 38 - 380 - 10$

$\implies 38 - 390$

$= - 352$

Jan 6, 2018

$- 352$

#### Explanation:

$\text{using the acronym PEMDAS}$

$- 380 + 38 + \left(- 10\right) \leftarrow \textcolor{red}{\text{division}}$

$= - 380 + 38 - 10$

$- 352 \leftarrow \textcolor{red}{\text{addition/subtraction}}$

Jan 6, 2018

$- 352$

#### Explanation:

In any expression with different operations, start by identifying the different TERMS first.

Terms are separated by plus and minus signs.

Within each term you need to use the following order:

Brackets
Powers
Multiply and Divide

Simplify each term to a single answer and these are added and subtracted in the last step. You are less likely to make errors if you write the additions first and the subtractions at the end.

$\text{ "color(blue)(-380" ")color(red)(+38)" "color(green)( +380 div (-38))" } \leftarrow$ there are $3$ terms

=color(blue)(-380" ")color(red)(+38" "color(green)( -10)

=color(red)(+38" ")color(green)( -10)" "color(blue)(-380)" "larr re-arrange

$= - 352$