Question

How do you simplify $ - \dfrac{{10}}{5} \times 2 + 8 \times (6 - 4) - 3 \times 4 $ using PEMDAS?

Answer 1

Hint: We will first start by mentioning the PEMDAS rule and define all its aspects. Then we open the brackets according to the PEMDAS rule. According to the PEMDAS rule, first we open the brackets then the exponents and then multiplication then division and finally addition or subtraction.

Complete step-by-step answer:
We will start off by defining the PEDMAS rule. So, the PEMDAS rule basically means that the Parenthesis first, then the Exponents, then Multiplication and the Division and then finally the Addition or Subtraction.
So, now we will solve the parenthesis first.
 $
   = - \dfrac{{10}}{5} \times 2 + 8 \times (6 - 4) - 3 \times 4 \\
   = - \dfrac{{10}}{5} \times 2 + 8 \times 2 - 3 \times 4 \;
  $
Now next we multiply or else divide whichever comes first.
 \[
   = - \dfrac{{10}}{5} \times 2 + 8 \times 2 - 3 \times 4 \\
   = - 2 \times 2 + 8 \times 2 - 3 \times 4 \\
   = - 4 + 8 \times 2 - 3 \times 4 \\
   = - 4 + 16 - 3 \times 4 \\
   = - 4 + 16 - 12 \;
 \]
Now the next step is to do addition or subtraction whichever comes first.
 $
   = - 4 + 16 - 12 \\
   = 12 - 12 \\
   = 0 \;
  $
Hence, the value of the expression $ - \dfrac{{10}}{5} \times 2 + 8 \times (6 - 4) - 3 \times 4 $ is $ 0 $
So, the correct answer is “0”.

Note: According to the PEMDAS rule, parenthesis have the highest precedence and should be worked from the innermost to the outermost. Next you will work on any expressions that are raised to any power that is exponent. Then next if you have any multiplication or division then those should be evaluated from the leftmost moving to the right. This is an agreed method upon resolving or evaluating expressions and equations. Without this agreement people working on mathematics would come to different conclusions based on the operations they chose to evaluate at random.