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

2 Answers
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-[125-(40-41)]#

Simplify #(40-41)# to #-1#.

#112-[125-(-1)]#

Simplify #[125-(-1)]# to #[126]#.

#112-126#

Simplify #112-126# to #-14#.

#-14#