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**Table of Content**

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.

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

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

Operator | Symbol |
---|---|

Addition | + |

Subtraction | – |

Multiplication | ✕ |

Division | ÷ |

Exponents | ^ |

Roots | r |

Small Brackets | () |

Curly Brackets | {} |

Square Brackets | [] |

Bar | __ |

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 |

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

- 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

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

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

- 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

- 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.

Let us resolve an example below to clarify your concept!

Solve the expression using PEMDAS:

**50 + 10 x 0 + 7 + 2**

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**

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