In these lessons, we will learn the PEMDAS rule for the order of operations. PEMDAS is the acronym for Parenthesis, Exponents, Multiplication, Addition and Subtraction. It is used to help you remember the order of operations.

**Related Pages**

Order Of Operations PEMDAS

Order Of Operations Worksheet

If the expression consists of parenthesis, exponents, +, –, × and ÷, then the operations **MUST** be performed in the following order.

- Always work on the calculations within
*parenthesis*first if any. - Next, calculate the
*exponents**.* - Then, carry out
*multiplication*or*division*, working from*left to right*. - Lastly, do
*addition*or*subtraction*, working from*left to right*.

The following figure shows the PEMDAS order of operations. Scroll down the page for more examples and solutions on how to use the PEMDAS rule for order of operations.

The order to perform combined operations is called the **PEMDAS** rule.

**Note:** Another way to remember **PEMDAS** is to remember the phrase

**P**lease **E**xcuse **M**y **D**ear **A**unt **S**ally.

**Example:**

Evaluate 10 ÷ 2 + 12 ÷ 2 × 3

**Solution:**

Using the PEMDAS rule, we need to evaluate the division and multiplication before subtraction and addition. It is recommended that you put in parenthesis to remind yourself the order of operation.

10 ÷ 2 + 12 ÷ 2 × 3

= (10 ÷ 2) + (12 ÷ 2 × 3)

= 5 + 18

= 23

**How does PEMDAS work?**

The following videos show more examples of the application of PEMDAS.

**Example:**

7 + 3 × 5 =

7 + 3 × 4 ÷ 2 − 5 × 6 =

**How to solve order of operations problems?**

A more complicated example for the order of operations.

**Example:**

7 × 2 + (7 + 3 × (5 − 2)) − 4 × 2 =

**Order of Operations (PEMDAS)**

**Examples:**

3 + 4 × 5 =

4 × 3^{2} =

[4 − 1 + (5 + 3)] =

15 − 12 × 2/(12/3) + 2^{2}=

(2 + 6)/4 × 3

**PEMDAS Song (with lesson) order of operations**

**Examples:**

5 × 3 + 5 =

4 + 5^{2} - 2 × (6 ÷ 2)

**How to use the PEMDAS rule**

Learn one of the most important rules of math: the order of operations, also known as the PEMDAS rule.

**Examples:**

3^{2} + (8 − 3) × 4 =

8 + 2 × 4 =

2^{4} − 8 × (2 + 3)

3(5 + 8) - 2^{2}/4 + 3

39 - 4/4 + 3

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.