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Order Of Operations Calculator

Enter the math expression to solve according to the correct order using the PEMDAS calculator.

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The PEMDAS calculator is an online solver of equations involving basic math operations. Also known as the math order of operations calculator, this tool executes the correct sequence to solve the equation. 

It comes with a math keyboard that involves all primary operations e.g addition, division, pie, radical e.t.c. Users can see all the fundamental steps of the solving process as well. 

What is the PEMDAS?

It is the order or arrangement of solving the math operations present in an expression. If the PEMDAS method is not applied, the result of the solved equation will be incorrect.

The order is easy to memorize due to the name PEMDAS itself. Each letter of the name is the initial of an operation. These operations are;

  1. P for Parentheses ()
  2. E for Exponents ^
  3. M for Multiplication * 
  4. D for Division /
  5. A for Addition +
  6. S for subtraction -

Another famous name for PEMDAS is BODMAS where B is for brackets and O is for orders.

Rules of PEMDAS

These 6 operations are solved in the sequence their initials come in the name. This sequence is; 

  1. If some part of the expression is in the parentheses, you will solve it first.
  2. The exponents present in the equation are next in the line.
  3. After this, both multiplication and division are solved. The order doesn’t matter. They can be solved side by side or one by one. 
  4. In the very end come the addition and subtraction. Same as last, the order does not matter between these two. 

How do you use PEMDAS?

The sequence is explained above. You simply identify the operation in the question and execute the operations in the correct order. 

PEMDAS technique is used everywhere. Without it, you will not get an accurate answer. This makes it absolutely necessary. To save time, you can use the PEMDAS math calculator.

See the solved example of PEMDAS below.

Example:

Solve the following expression in the correct order.

2 * 20/2 + (3+4) * 3^2 -6 + 15

Solution:

Step 1: Solve the parentheses first.

= 2 * 20/2 + (3+4) * 3^2 - 6 + 15 

= 2 * 20/2 + (7) * 3^2 - 6 + 15

Step 2: Evaluate the exponent next.

= 2 * 20/2 + 7 * 3^2 - 6 + 15

= 2 * 20/2 + 7 * 9 - 6 + 15

Step 3: Do the multiplication and then division.

= 2 * 20/2 + 7 * 9 - 6 + 15

= 40/2 + 63 - 6 + 15

Now division.

= 40/2 + 63 - 6 + 15

= 20 + 63 - 6 + 15

Step 4: Lastly, solve the addition and subtraction.

= 20 + 63 - 6 + 15

= 83 - 6 + 15

= 77 + 15

= 92

This is the right answer. Also, try the equation solver to solve equations and the expressions involving variables.

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