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Order of Operations - PEMDAS




 
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 Topics: Worksheets to help you practice the PEMDAS rule.

What is the PEMDAS Rule?
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.

PEMDAS rule

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

Note: Another way to remember PEMDAS is to remember the phrase Please Excuse My Dear Aunt Sally.

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.
Examples:
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 =



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:
32 + (8 − 3) × 4 =
8 + 2 × 4 =
24 − 8 × (2 + 3) Order of Operations (PEMDAS)
Examples:
3 + 4 × 5 =
4 × 32 =
[4 − 1 + (5 + 3)] =
15 − 12 × 2/(12/3) + 22=
(2 + 6)/4 × 3


 
PEMDAS Song (with lesson) order of operations
Examples:
5 × 3 + 5 =
4 + 52 - 2 × (6 ÷ 2) PEMDAS Song with examples
Examples:
3(5 + 8) - 22/4 + 3
39 - 4/4 + 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 calculator and problem solver 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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