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.

Related Topics: Worksheets to help you practice the PEMDAS rule.

### PEMDAS Rule

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

### Videos

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

Examples:

7 + 3 × 5 =

7 + 3 × 4 ÷ 2 − 5 × 6 =
A more complicated example for the order of operations.

Example: 7 × 2 + (7 + 3 × (5 − 2)) − 4 × 2 =

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)
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 Songs

PEMDAS Song (with lesson) order of operations.
PEMDAS Song with examples.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics: Worksheets to help you practice the PEMDAS rule.

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

* Note: * A common mnemonic for **PEMDAS** is **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

Examples:

7 + 3 × 5 =

7 + 3 × 4 ÷ 2 − 5 × 6 =

Example: 7 × 2 + (7 + 3 × (5 − 2)) − 4 × 2 =

Examples:

3

8 + 2 × 4 =

2

Examples:

3 + 4 × 5 =

4 × 3

[4 − 1 + (5 + 3)] =

15 − 12 × 2/(12/3) + 2

(2 + 6)/4 × 3

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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