How do you simplify 9xx10+80-78-+17xx79×10+8078+17×7 using the order of operations?

1 Answer
Feb 22, 2017

The answer is -2727.

Explanation:

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

color(red)"P:"P: parentheses or brackets
color(blue)"E:"E: exponents or powers
color(green)"M:"M: multiplication
color(green)"D:"D: division
color(purple)"A:"A: addition
color(purple)"S:"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-+17xx79×10+8078+17×7

A negative and a positive make a negative.

9xx10+80-78-17xx79×10+807817×7

Carry out the multiplications first.

90+80-78-11990+8078119

Carry out the addition and subtraction from left to right.

170-78-11917078119

92-11992119

-2727