# 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

43

#### Explanation:

Always count the number of TERMS first. Terms are separated by + and - signs. You need to resolve each term into a single answer and then in the last step you can add and subtract the answers working from left to right.

In this example there are 3 terms.
The second term has brackets. Inside the brackets there are 2 terms - there must be 2 answers before they can be added.

This leads to 8 + (8 + 2) + 25 = 8 + 10 + 25 = 43