# How do you evaluate 45\div [ ( 10- 2) \times 2- 11]?

Mar 9, 2018

$9$

#### Explanation:

$10 - 2 = 8$

$8 \times 2 = 16$

$16 - 11 = 5$

Then .. $\frac{45}{5} = 9$

Mar 9, 2018

Use the order of operation to find the value of the expression

#### Explanation:

PEMDAS
remember it this way "if you get hurt in (PE call an Medical Doctor, As Soon as possible)

PE is one class so do exponents and parenthesis at the same time.

MD is one person so do Multiplication and Division at one time working from left to right.

ASap is one time so do Addition and Subtraction together working from left to right

$\frac{45}{\left(10 - 2\right) \times 2 - 11} = \frac{45}{8 \times 2 - 11}$

Next do the multiplication with the parenthesis

$\frac{45}{8 \times 2 - 11} = \frac{45}{16 - 11}$

Next do the subtraction within the parenthesis

$\frac{45}{16 - 11} = \frac{45}{5}$

Next do the final division problem

$\frac{45}{5} = 9$

Mar 9, 2018

$9$

#### Explanation:

Work from the inner bracket outwards.

$\text{ } 45 \div \left[\textcolor{b l u e}{\left(10 - 2\right)} \times 2 - 11\right]$
$\textcolor{w h i t e}{\times \times \times . x} \downarrow$
$= 45 \div \text{ } \left[\textcolor{red}{8 \times 2} - 11\right]$
$\textcolor{w h i t e}{\times \times x . \times . x} \downarrow$
$= 45 \div \text{ } \left[\textcolor{g r e e n}{16 - 11}\right]$
$\textcolor{w h i t e}{\times \times \times x . \times} \downarrow$
$= 45 \text{ } \div \textcolor{w h i t e}{. \times} 5$

$= \text{ } 9$