# How do you simplify 13 - 5 + 1  using PEMDAS?

Mar 31, 2018

$9$

#### Explanation:

The problem arises in identifying the adds and the subtracts!

The question does NOT mean $13 - \left(5 + 1\right)$, where the addition is seen as $5 + 1$

Remember that a sign belongs to the number on the right.

What we actually have is

$\left(+ 13\right) + \left(- 5\right) + \left(+ 1\right)$

I prefer to have students rearranging the terms first, with the ADDS at the beginning and the SUBTRACTS at the end.

$13 + 1 - 5 = 9$

Or just work from left to right.

$\textcolor{b l u e}{13 - 5} + 1$

$= \textcolor{b l u e}{8} + 1$

$= 9$