# How do you evaluate the expression 8 + (36 * 8-204) -: 6?

Mar 4, 2018

$8 + \left(36 \cdot 8 - 204\right) \div 6 = \textcolor{b l u e}{22}$

#### Explanation:

Evaluate:

$8 + \left(36 \cdot 8 - 204\right) \div 6$

Follow the order of operations as indicated by the acronym PEMDAS.

1. Parentheses/brackets
2. Exponents/powers
3. Multiplication and Division in order from left to right.
4. Addition and Subtraction in order from left to right.

$8 + \left(36 \cdot 8 - 204\right) \div 6$

First simplify the parentheses. First multiply $36 \cdot 8$.

$8 + \left(288 - 204\right) \div 6$

Now subtract within the parentheses.

$8 + 84 \div 6$

Next divide $84$ by $6$.

$8 + 14$

Now add $8$.

$22$