Order of Operations - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction (PEMDAS)

Related Topics & Worksheets:
Order Of Operations
Order Of Operations Worksheet
BEDMAS Worksheet

Share this page to Google Classroom

Objective: I know how to perform mixed operations with parenthesis, exponents, multiplication, division, addition, and subtraction.

If the calculations involve a combination of parenthesis, exponents, multiplication, division, addition, and subtraction then

Step 1: First, perform the operations within the parenthesis

Step 2: Second, evaluate the exponents.

Step 3: Third, perform multiplication and division from left to right.

Step 4: Fourth, perform addition and subtraction from left to right.

Example:
Calculate 2³ – 3 × (8 – 6) =

Solution:
2³ – 3 × (8 – 6) (perform within parenthesis)
= 2³ – 3 × 2 (evaluate the exponent)
= 8 – 3 × 2 (perform multiplication)
= 8 – 6 (perform subtraction)
= 2

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

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 hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

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