# How do you simplify -48 div(-8) * 5 div 10 using order of operations?

Apr 25, 2017

3

#### Explanation:

$\frac{- 48}{- 8} \cdot \left(\frac{5}{10}\right) =$

$= 6 \cdot \left(\frac{5}{10}\right) =$

$= \frac{30}{10} =$

$= 3$

Apr 25, 2017

$3$

#### Explanation:

When evaluating an expression with $\textcolor{b l u e}{\text{mixed operations}}$ there is a particular order that must be followed.

Follow the order as set out in the acronym PEMDAS

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

If the expression consists only of multiplication/division or

addition/subtraction, then evaluate from $\textcolor{b l u e}{\text{left to right}}$

$- 48 \div \left(- 8\right) \times 5 \div 10$

$\text{evaluating from left to right}$

$\Rightarrow 6 \times 5 \div 10 \leftarrow \text{ first division}$

$= 30 \div 10 \leftarrow \text{ multiplication}$

$= 3 \leftarrow \text{ second division}$