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Or # Order of Operations Calculator

 Enter a math equation to solve : ( use numbers and + - * / ^ r . ( ) [ ] { } )

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This order of operations calculator solves a mathematical expression consisting of addition, subtraction, division, multiplication, and many symbols like parentheses or exponential numbers. This calculator can solve mathematical equations or simplify order of operations using the PEMDAS rule.

## Working of PEMDAS Calculator with Solution:

To solve the expressions using our order of operations solver, you need to follow the below-mentioned steps.

Input:

• Enter an arithmetic expression
• Tap Calculate

Output:

• Reduced answer of the arithmetic expression entered
• Step-by-step calculations

## Functions That Can be Solved by This Order of Operations Calculator:

The list of functions that can be solved using this indicated operation calculator is listed in the table below:

Operator Symbol
Subtraction
Multiplication
Division ÷
Exponents ^
Roots r
Small Brackets ()
Curly Brackets {}
Square Brackets []
Bar __

## Order of Operations Acronyms:

Here are some acronyms for the order of operations and these sets of operations can be solved using a PEMDAS solver or manually.

Order of Operations Acronyms Briefing
PEMDAS Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
BEDMAS Brackets, Exponents, Division, Multiplication, Addition, and Subtraction
BODMAS Brackets, Order, Division, Multiplication, Addition, and Subtraction
GEMDAS Grouping, Exponents, Division, Multiplication, Addition, and Subtraction
MDAS Multiplication, Division, Addition, and Subtraction

## What Exactly Is PEMDAS?

PEMDAS is an abbreviation of Parenthesis, exponents, multiplication, division, addition, and subtraction. PEMDAS is a sequence used to solve mathematical equations.

### Sequence Used by PEMDAS:

• The sequence moves from left to right
• Parentheses must be solved first
• Solve the exponents just after solving the parentheses
• Then perform multiplication and division operations present in an expression
• After solving the Multiplication/Division operations, solve the Addition/Subtraction functions

## Rules for Adding, Subtracting, Multiplying, and Dividing Two Numbers:

Here are some rules that are followed generally and also followed strictly by our order of operation calculator:

• If the signs of both numbers are the same, add both of the numbers and place the same sign with the output
• If the signs are different, subtract the shorter number from the other and place the sign of the larger number with the output

### For Subtracting Two Numbers:

• Change the signs of the expression according to the sign of the first number

### For Multiplying Two Numbers:

• If the signs of two numbers are different, place the negative sign with the output value
• If the signs of two numbers are the same, then put the positive sign with the output value

### For Dividing Two Numbers:

• When you divide a positive number by a positive one and a negative number by a negative one, the output sign will be positive
• But when you divide two numbers having different signs, the output sign will be negative

Our order of operations calculator also considers the above-mentioned rules to apply arithmetic operations to mathematical expressions.

## Practical Example:

Let us resolve an example below to clarify your concept!

### Example # 01:

Solve the expression using PEMDAS:

50 + 10 x 0 + 7 + 2

#### Solution:

First, we will solve the multiplication

= 50+10*0+7+2

= 50+0+7+2

= 50+7+2

Then add all the remaining terms

= 57+2

= 59

## References:

From the source of the Wikipedia.com: Definition ,Order of operations

From the source of Edu.gcfglobal.org: Using the order of operations, Introduction to the order of operations