BODMAS Calculator
Step by Step Mathematical Solutions
Enter Expression
Quick Calculator
BODMAS Rules
Try These Examples
2^10 + 3^4
High powers example
(2 + 3)^5 × 4
Brackets with high power
8^3 ÷ 2^6 + 5^2
Multiple powers
12 ÷ 3 × 2
Left to right
6 + 2^10 – 3^4
Large numbers
BODMAS Formula Guide
Understanding the Order of Operations and Our Calculator Tool
What is BODMAS?
BODMAS is an acronym that stands for Brackets, Orders, Division, Multiplication, Addition, Subtraction. It represents the order in which mathematical operations should be performed to correctly evaluate an expression. This rule ensures consistent results when solving complex mathematical expressions.
BODMAS Rules Explained
1. Brackets ( ) [ ] { }
Solve expressions inside brackets first. If there are nested brackets, work from the innermost outwards.
Example: In (2 + 3) × 4, solve 2 + 3 = 5 first, then 5 × 4 = 20.
2. Orders (Exponents, Powers, Roots)
Next, calculate exponents (e.g., 2^3) and roots.
Example: In 2^3 + 5, compute 2^3 = 8, then 8 + 5 = 13.
3. Division and Multiplication
Perform division and multiplication from left to right.
Example: In 12 ÷ 3 × 2, calculate 12 ÷ 3 = 4, then 4 × 2 = 8.
4. Addition and Subtraction
Finally, perform addition and subtraction from left to right.
Example: In 10 + 5 – 3, compute 10 + 5 = 15, then 15 – 3 = 12.
How Our BODMAS Calculator Works
Our BODMAS Calculator is a user-friendly tool designed to help you solve mathematical expressions step-by-step while strictly following the BODMAS rules. Here’s how it works:
- Input Expression: Enter a mathematical expression (e.g., 2^10 + (5+3)^4 × 3 ÷ 2^3) in the input field.
- Step-by-Step Solution: The calculator breaks down the expression into manageable steps, solving brackets first, then orders, division, multiplication, addition, and subtraction in the correct order.
- Visual Feedback: Each step is displayed clearly with explanations, highlighting the operation being performed (e.g., brackets, powers) using color-coded tags for clarity.
- Quick Calculator: Use the built-in number and operator buttons to input numbers, operations, or special symbols like ^ for powers or () for brackets.
- Example Expressions: Try pre-loaded examples like 2^10 + 3^4 or 8^3 ÷ 2^6 + 5^2 to see the tool in action.
- Download Steps: Save the step-by-step solution as a text file for offline reference or study.
Why Use Our Calculator?
Our tool is designed to make learning and solving mathematical expressions easy and engaging:
- Educational: Perfect for students learning the order of operations or anyone needing a clear, step-by-step breakdown.
- Interactive: The intuitive interface with quick buttons and example expressions makes it easy to experiment.
- Accurate: Follows BODMAS rules precisely to ensure correct results every time.
- Downloadable Solutions: Save your work for revision or sharing with others.