Question

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

Answer 1

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`