# Order of Operations Calculator

PEMDAS calculator evaluates your input with the exact order of operations and also shows you each and every order of operation for the given expression.

## How to use the Order of Operations Calculator?

To use this calculator:

• Enter a mathematical expression in the input box.
• Press the Calculate button to see the result.

It will give you the step-by-step evaluation of the order of operations it has implemented on your mathematical expression.

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Table of Content

We will discuss PEMDAS meaning and definition when it is used, and some examples to solve expressions with PEMDAS order of operations.

## What is PEMDAS?

PEMDAS is an acronym for an operating order convention to solve complex mathematical problems. This acronym is actually the PEMDAS rules which specify the exact order in which operations should be executed.

The PEMDAS stands for:

• Parenthesis
• Exponents
• Multiplication
• Division
• Subtraction

The PEMDAS acronym convention implies grouping (parenthesis) first, then exponents, multiplication, division, and then addition and subtraction.

It is very critical to apply the correct order of operations in math to get the right answer when solving mathematical problems.

## PEMDAS Problems

The following examples illustrate how the PEMDAS convention addresses unclear mathematical problems.
Example: $\frac{10}{2}\times\left(3^2+2\right)$

Step 1: First, solve the parenthesis.
In this case, we have an exponent in the parenthesis. The precedence of the exponent is higher than the addition.

=$\frac{10}{2}\times\left(9-2\right)$

=$\frac{10}{2}\times\left(7\right)$

Step 2: Eliminate the parenthesis that is solved and solve the remainder expression from the highest priority to the lowest priority.

=$\frac{10}{2}\times7$

Step 3: Since the same precedence is given to multiplication and division, address them in the order they appear from left to right. We will solve the division first because it has appeared first from left to right.

=$5\times7$

= $35$

So, $\frac{10}{2}\times\left(3^2+2\right)$ = $35$

## Which is correct Pemdas or Bodmas?

PEMDAS and BOMDAS are the same things. Both of them refer to the mnemonic for the logical order of operations for the mathematical expressions.

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elana | 02/11/2021

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mirror of erised | 06/03/2021

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