How do you simplify #9xx10+80-78-+17xx7# using the order of operations?

1 Answer
Feb 22, 2017

Answer:

The answer is #-27#.

Explanation:

Follow the order of operations as given in the acronym PEMDAS.

#color(red)"P:"# parentheses or brackets
#color(blue)"E:"# exponents or powers
#color(green)"M:"# multiplication
#color(green)"D:"# division

#color(purple)"A:"# addition
#color(purple)"S:"# subtraction

(M and D have equal weight and are calculated from left to right.)

(A and S have equal weight and are calculated from left to right.

Given:

#9xx10+80-78-+17xx7#

A negative and a positive make a negative.

#9xx10+80-78-17xx7#

Carry out the multiplications first.

#90+80-78-119#

Carry out the addition and subtraction from left to right.

#170-78-119#

#92-119#

#-27#