# How do you simplify  112-[125-(40-41)]?

Apr 3, 2018

-14

#### Explanation:

112 -[125 -(-1)]

112 -[125 +1]

112 -[126]

-14

Apr 3, 2018

112-[125-(40-41)]=color(blue)(-14

#### Explanation:

Follow the order of operations as indicated by the acronym PEMDAS:

Parentheses/brackets

Exponents/powers

Multiplication and Division in order from left to right.

Addition and Subtraction in order from left to right.

Simplify:

$112 - \left[125 - \left(40 - 41\right)\right]$

Simplify $\left(40 - 41\right)$ to $- 1$.

$112 - \left[125 - \left(- 1\right)\right]$

Simplify $\left[125 - \left(- 1\right)\right]$ to $\left[126\right]$.

$112 - 126$

Simplify $112 - 126$ to $- 14$.

$- 14$