# How do you simplify 11+ 3² - 4 times (80÷10) using PEMDAS?

Oct 1, 2016

$- 12$

#### Explanation:

Always count the number of terms first. That is a very good indicator of where to begin with the calculations.

color(green)11color(red)(+ 3²)color(blue)( - 4 times (80÷10))" "larr has 3 terms.

Within each term, the usual order applies.
Brackets first, then powers and roots and then multiply and divide.

Once you have a final answer for each term, then you add or subtract in the last step.

color(green)11color(red)(+ 3²)color(blue)( - 4 times (80÷10))

$= \textcolor{g r e e n}{11} \textcolor{red}{+ 9} \textcolor{b l u e}{- 4 \times \left(8\right)}$

$= \textcolor{g r e e n}{11} \textcolor{red}{+ 9} \textcolor{b l u e}{- 32} \text{ } \leftarrow$ answers of 3 terms

=$- 12$