How do you simplify 17– 6 xx 10 ÷ 2 + 12?

2 Answers

color(purple)(=> -1)

Explanation:

17 - 6 xx 10 / 2 + 12

Using PEMDAS rule,

=> 17 - 60 / 2 + 12, multiplying

=> 17 - 30 + 12, dividing

=> 17 + 12 - 30, rearranging terms

=> 29 - 30, adding

color(purple)(=> -1, subtracting

May 17, 2018

-1

Explanation:

Identify the number of terms first. Each term will simplify to a single answer which can be added or subtracted in the last step.

color(blue)(17)" " color(red)(- 6xx10div2) color(green)(" " +12)" "larr there are 3 terms

Within each term the order of operations is:

  • Brackets
  • powers and roots
  • multiplication and division (any order)

=color(blue)(17)" " color(red)(- (cancel6^3xx10)/cancel2) color(green)(" " +12)

=color(blue)(17)" " color(red)(-30) color(green)(" " +12)

You will make fewer mistakes if you write the additions at the beginning and subtractions at the end.

=color(blue)(17)" " color(green)( +12)" "color(red)(- 30)

=29" "color(red)(- 30)

=-1