PEMDAS Calculator (With Steps) — Simplify an Expression Using the Order of Operations

PEMDAS Calculator

Enter the expression to solve

Please provide your input and click the calculate button

About the PEMDAS Calculator

The pemdas calculator can calculate for you the value of a math expression based on PEMDAS (or the correct order of operations).

It will give you not just the simplified value but also the step-by-step solution.

Usage Guide

Hide

i. Valid Inputs

Your input can be any valid math expression consisting only of the following characters (other characters are not supported).

Digits → $\hspace{0.2em} 0 - 9 \hspace{0.2em}$ and the decimal point .
Symbols → +, -, *, /, ^, (, and )
Spaces (optional)

Here are examples of valid expressions.

2 + (12 / 5) ^ 2
5 * 7 / 2 + (11 - 4) * 3

ii. Example

If you would like to see an example of the calculator's working, just click the "example" button.

iii. Solutions

As mentioned earlier, the calculator won't just tell you the answer but also the steps you can follow to do the calculation yourself. The "show/hide solution" button would be available to you after the calculator has processed your input.

iv. Share

We would love to see you share our calculators with your family, friends, or anyone else who might find it useful.

By checking the "include calculation" checkbox, you can share your calculation as well.

Here's a quick overview of what PEMDAS is and how to use it to simplify mathematical expressions..

For those interested, we have a more comprehensive tutorial on PEMDAS or order of operations.

What is PEMDAS?

PEMDAS is an acronym for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction – a group of words that gives us the order in which to perform the operations in a math expression.

So, if you have two or more operations in an expression, the order of operations, PEMDAS, tells us that we must take care of them in the following order.

Parentheses – $\hspace{0.2em} () \hspace{0.2em}$ or other grouping symbols,
Exponents – powers and roots,
Multiplication and Division (from left to right), and
Addition and Subtraction (from left to right).

Note — As you can see, multiplication and division occupy the same level of hierarchy (#3). One does NOT have precedence over the other. So between them, we solve from left to right, whichever comes first.

The same is true for the pair – addition and subtraction (#4).

Here are a couple of quick examples of how we apply PEMDAS when simplifying an expression.

Using PEMDAS in Calculations

Example

Simplify :

\hspace{0.2em} 9 + 15 / 3 \hspace{0.2em}

Solution

Example

Simplify :

\hspace{0.2em} 2 \times (5 + 1) - 2^3 \hspace{0.2em}

Solution