How do you evaluate 10 + ((18 - 5) * 2^2)?

Aug 24, 2016

$62$

Explanation:

Count the number of terms first.
EAch term must simplify to a single answer which are added or subtracted in the last step.

Within a term, brackets are done first.
Do stronger operations of powers and roots before multiplication and division.
Different operations can be done in the same line if they are independent of each other.

This expression has 2 terms.

$\textcolor{\mathmr{and} a n \ge}{10} + \left(\textcolor{red}{18 - 5}\right) \textcolor{b l u e}{\times {2}^{2}} \textcolor{w h i t e}{\times \times \times \times} \text{the other bracket is unnecessary}$

=$\textcolor{\mathmr{and} a n \ge}{10} + \left(\textcolor{red}{13}\right) \textcolor{b l u e}{\times 4}$

=$\textcolor{\mathmr{and} a n \ge}{10} + 52$

=$62$