104 LearnersLast updated on June 25th, 2025
Order Of Operations Calculator
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about order of operations calculators.
What is an Order Of Operations Calculator?
An order of operations calculator is a tool that helps solve mathematical expressions by applying the correct sequence of operations. It follows the PEMDAS/BODMAS rule, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This calculator ensures accuracy in solving expressions by adhering to these rules.
How to Use the Order Of Operations Calculator?
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the expression: Input the mathematical expression into the given field.
Step 2: Click on calculate: Click on the calculate button to solve the expression and get the result.
Step 3: View the result: The calculator will display the result instantly.
How to Solve Mathematical Expressions Using Order Of Operations?
In order to solve mathematical expressions, follow the PEMDAS/BODMAS rule.
1. Parentheses/Brackets: Solve expressions inside parentheses or brackets first.
2. Exponents/Orders: Calculate powers or roots.
3. Multiplication and Division: Perform these operations from left to right.
4. Addition and Subtraction: Finally, handle these operations from left to right. This sequence ensures the expression is solved correctly without errors.
Tips and Tricks for Using the Order Of Operations Calculator
When using an order of operations calculator, there are a few tips and tricks that can make it easier and help avoid mistakes:
Understand the order of operations thoroughly to recognize how expressions are evaluated.
Make sure to input expressions correctly, using parentheses to clarify the order of operations.
Check your work by solving the expression manually to confirm the calculator's output.
Common Mistakes and How to Avoid Them When Using the Order Of Operations Calculator
Even with a calculator, mistakes can happen. Here are some common mistakes and how to avoid them:
Mistake 1
Ignoring Parentheses
Parentheses indicate which operations to perform first. Ignoring them can lead to incorrect results. Always solve expressions inside parentheses first.
Mistake 2
Misapplying the Order of Operations
Skipping steps or performing operations out of order can lead to errors. Follow PEMDAS/BODMAS strictly to avoid this issue.
Mistake 3
Incorrect Input Formatting
Entering the expression incorrectly, such as missing operators or parentheses, can lead to incorrect calculations. Double-check your input before calculating.
Mistake 4
Relying Solely on the Calculator
While calculators are helpful, understanding the process is essential. Verify results by manually solving simpler expressions to ensure comprehension.
Mistake 5
Forgetting to Double-Check Results
Always review the calculator's output, especially for complex expressions, to ensure accuracy. Cross-verify with manual calculations if needed.
Order Of Operations Calculator Examples
Problem 1
What is the result of 3 + 6 × (5 + 4) ÷ 3 - 7?
First, calculate inside the parentheses: 5 + 4 = 9
Now the expression is: 3 + 6 × 9 ÷ 3 - 7
Perform multiplication and division from left to right: 6 × 9 = 54 54 ÷ 3 = 18
Now the expression is: 3 + 18 - 7
Perform addition and subtraction from left to right: 3 + 18 = 21 21 - 7 = 14
The result is 14.
Explanation
By following the order of operations, we solved the expression step by step, ensuring accuracy by performing operations in the correct sequence.
Problem 2
Calculate the result of 8 + (3 × (2 + 3²)) ÷ 2.
First, resolve the exponent: 3² = 9
Now the expression inside the parentheses becomes: 2 + 9 = 11
Now the expression is: 8 + (3 × 11) ÷ 2
Perform the multiplication: 3 × 11 = 33
Now the expression is: 8 + 33 ÷ 2
Perform the division: 33 ÷ 2 = 16.5
Now the expression is: 8 + 16.5
Perform the addition: 8 + 16.5 = 24.5
The result is 24.5.
Explanation
By resolving the exponent first and following the order of operations, the expression was simplified step by step to reach the final answer.
Problem 3
Solve the expression 5 × (7 - 3) + 4² ÷ 2.
First, solve inside the parentheses: 7 - 3 = 4
Now the expression is: 5 × 4 + 4² ÷ 2
Resolve the exponent: 4² = 16
Now the expression is: 5 × 4 + 16 ÷ 2
Perform multiplication and division from left to right: 5 × 4 = 20 16 ÷ 2 = 8
Now the expression is: 20 + 8
Perform the addition: 20 + 8 = 28 The result is 28.
Explanation
By following the correct sequence of operations, the expression is solved accurately, ensuring each step is followed correctly.
Problem 4
What is the result of (10 + 5) × (3² - 7)?
First, calculate inside the parentheses: 10 + 5 = 15 3² = 9
Now the expression inside the parentheses becomes: 9 - 7 = 2
Now the expression is: 15 × 2
Perform the multiplication: 15 × 2 = 30
The result is 30.
Explanation
By solving each part of the expression according to the order of operations, the final result is obtained accurately.
Problem 5
Evaluate the expression 12 ÷ (2 + 4) × 3 - 1.
First, solve inside the parentheses: 2 + 4 = 6
Now the expression is: 12 ÷ 6 × 3 - 1
Perform division and multiplication from left to right: 12 ÷ 6 = 2 2 × 3 = 6
Now the expression is: 6 - 1
Perform the subtraction: 6 - 1 = 5
The result is 5.
Explanation
By following the proper order, the operations are performed in sequence, ensuring an accurate final result.
FAQs on Using the Order Of Operations Calculator
1.How do you calculate mathematical expressions using order of operations?
2.Can I rely entirely on an order of operations calculator for complex expressions?
3.Why is the order of operations important in mathematics?
4.How do I use an order of operations calculator?
5.Is the order of operations calculator accurate?
Glossary of Terms for the Order Of Operations Calculator
- Order of Operations: A set of rules for the sequence in which parts of a mathematical expression are solved, typically PEMDAS/BODMAS.
- PEMDAS/BODMAS: An acronym for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
- Parentheses/Brackets: Symbols used to group parts of an expression to indicate order of operations.
- Exponents/Orders: Mathematical operations involving powers or roots, indicating repeated multiplication or division.
- Multiplication and Division: Arithmetic operations performed after calculating exponents/orders and before addition/subtraction, from left to right.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
