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

1 Answer
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))#

#=color(green)11color(red)(+ 9)color(blue)( - 4 times (8))#

#=color(green)11color(red)(+ 9)color(blue)(-32)" "larr # answers of 3 terms

=#-12#