Order of Operations Calculator

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Operations Order Calculator

Order of Operations Calculator

Order of operations calculator is used to solve the mathematical expressions with the correct order of operation (PEMDAS). It is very critical to apply the correct order of operations in math to get the right answer when solving mathematical problems.
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.
We will discuss PEMDAS meaning and definition, when it is used, and some examples to solve expressions with PEMDAS order of operations.

How to use Order of Operations Calculator?

To use this calculator:

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

It will give you the step by evaluation of the order of operations it has implemented on your mathematical expression. You can follow each step to understand the process.

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
  • Addition
  • Subtraction

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

When to use PEMDAS?

When mathematical expressions are written in ambiguous form, the PEMDAS convention is required. For examples, there is no doubt what the operations are to be done in the following expression:
4 + (3 × 5)
If the parenthesis are omitted, the expression may generate more than one answer without a convention depending on the order of the operations.
 equation sample
If we solve it according to the PEMDAS order of convention, answer will be:

Equation Sample

PEMDAS Problems

The following examples illustrate how the PEMDAS convention addresses unclear mathematical problems.
Example: 10/2 × (32 + 2)
Step 1: First, solve the parenthesis.
In this case, we have exponent in the parenthesis. Precedence of exponent is higher than addition.
= 10/2 × (9 + 2)
= 10/2 × (7)
Step 2: Eliminate the parenthesis that is solved and solve the remainder expression from the highest priority to the lowest priority.
= 10/2 × 7
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 × 7
= 35
So, 
10/2 × (32 + 2) = 35

PEMDAS Worksheet

The worksheet below contains ten different mathematical expressions. These expressions are comprised of basic math operations (addition, subtraction, multiplication, and division), exponents, and parenthesis. 

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.
The acronym is different because some countries such as the US refer to brackets as parenthesis, and orders as exponents. While in UK, parenthesis is referred to as brackets and exponent is referred to as order.


 

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