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

1 Answer
Sep 30, 2016

Answer:

#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

#color(red)(\{ 3^{2} + 11\} xx 3) color(forestgreen)(- 9)color(blue)(+ 11)" "larr# there are 3 terms

#=color(red)(\{ 9 + 11\} xx 3) color(forestgreen)(- 9)color(blue)(+ 11)#

#=color(red)(20 xx 3] color(forestgreen)(- 9)color(blue)(+ 11)#

#=color(red)(60) color(forestgreen)(- 9)color(blue)(+ 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#