Question

Evaluate 12- (16) + (-8) + (-6) - 2 - (10) + (-5)

Answer 1

`-35`

Explanation:

Follow PEMDAS order of operations:

• Parentheses: ( )

• Exponents: a²

• Multiplication: ×

• Division: ÷

• Addition: +

• Subtraction: -

`12- (16) + (-8) + (-6) - 2 - (10) + (-5)`

Add and subtract:

• 
  `12-\left(16\right)=-4`

• 
  `-4+\left(-8\right)+\left(-6\right)-2-\left(10\right)+\left(-5\right)`

Apply rule:
`+\left(-a\right)\:=\:-a`

• 
  `-4-8+\left(-6\right)-2-\left(10\right)+\left(-5\right)`

• 
  `-4-8=-12`

• 
  `-12+\left(-6\right)-2-\left(10\right)+\left(-5\right)`

Rule:
`+\left(-a\right)\:=\:-a`

• 
  `+\left(-6\right)=-6`

• 
  `-12-6-2-\left(10\right)+\left(-5\right)`

• 
  `-12-6=-18`

• 
  `-18-2-\left(10\right)+\left(-5\right)`

• 
  `-18-2=-20`

• 
  `-20-\left(10\right)+\left(-5\right)`

• 
  `-20-\left(10\right)=-30`

`-30+\left(-5\right)`

Apply rule:
`+\left(-a\right)\:=\:-a`

• 
  `+\left(-5\right)=-5`

• 
  `-30-5`

• 
  `-35`

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