Question

How do you simplify $88-16\cdot 5+2-3$ using order of operation?

Answer 1

Hint: To solve or simplify the above question or expression, we will use PEMDAS rule. Actually we will use only simple basic operations of mathematics. PEMDAS is the order of operation. PEMDAS is a mnemonic device used to remind students of the order of operations in the calculation of a mathematical problem. The PEMDAS stands for P-parenthesis (brackets), E-exponents, M-multiply, D-divide, A-addition, S-subtraction. Solve inside parentheses or brackets, then do exponents, multiply, and division and then do addition and subtraction.

Complete step by step solution:
The given expression is:
$\Rightarrow 88-16\cdot 5+2-3$
 Now, we will solve the above expression which is $88-16\cdot 5+2-3$ by using PEMDAS rule.
So according to the PEMDAS rule first we will multiply this $\left( 16\centerdot 5 \right)$ and then we will apply other operations, then we get,
$\Rightarrow 88-80+2-3$
Now according to the PEMDAS now we will add and subtract from left to right. First we will subtract $\left( 88-80 \right)$ then we will add $\left( 2 \right)$ to the answer of $\left( 88-80 \right)$ and then subtract, then we get
$\begin{align}
  & \Rightarrow 8+2-3 \\
 & \Rightarrow 10-3 \\
 & \Rightarrow 7 \\
\end{align}$
Hence by using the PEMDAS rule we get the value of the above expression $88-16\cdot 5+2-3$ which is $7$.

Note: This is an agreed upon method for 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. If you ever come to the point where you want some part of an expression or equation to be evaluated at a higher precedence than you just have to enclose it in parenthesis.