# What is [\{ 3^{2} + 11\} \cdot 3] - 9+ 11?

Sep 30, 2016

$62$

#### Explanation:

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

Within each term, the order of operations is:
brackets
powers and roots
multiply and divide

$\textcolor{red}{\setminus \left\{{3}^{2} + 11 \setminus\right\} \times 3} \textcolor{f \mathmr{and} e s t g r e e n}{- 9} \textcolor{b l u e}{+ 11} \text{ } \leftarrow$ there are 3 terms

$= \textcolor{red}{\setminus \left\{9 + 11 \setminus\right\} \times 3} \textcolor{f \mathmr{and} e s t g r e e n}{- 9} \textcolor{b l u e}{+ 11}$

$= \textcolor{red}{20 \times 3} \textcolor{f \mathmr{and} e s t g r e e n}{- 9} \textcolor{b l u e}{+ 11}$

$= \textcolor{red}{60} \textcolor{f \mathmr{and} e s t g r e e n}{- 9} \textcolor{b l u e}{+ 11}$

It is often easier to place the adds at the beginning and subtract at the end.
{This avoids the common error of $60 - 2$}

$= 60 + 11 - 9$

$62$