# What is 8+(8+8-:4)+5^2?

Apr 28, 2016

$8 + \left(8 + 8 \div 4\right) + {5}^{2} = 43$

#### Explanation:

Going through the order of operations:

1. Evaluate any expressions in parentheses (following the same order inside)
2. Evaluate any exponents.
3. Perform any multiplication or division from left to right
4. Perform any addition or subtraction from left to right

In this case, it goes as follows:

$8 + \textcolor{red}{\left(8 + 8 \div 4\right)} + {5}^{2}$

$= 8 + \left(8 + \textcolor{red}{8 \div 4}\right) + {5}^{2}$

$= 8 + \left(\textcolor{red}{8 + 2}\right) + {5}^{2}$

$= 8 + 10 + \textcolor{red}{{5}^{2}}$

$= \textcolor{red}{8 + 10} + 25$

$= \textcolor{red}{18 + 25}$

$= 43$

Apr 30, 2016