To solve a mathematical expression using the BODMAS rule, start by evaluating any expressions inside Brackets first, followed by Orders (exponents or roots). Next, perform Division and Multiplication from left to right, and finally, perform Addition and Subtraction from left to right.
The BODMAS Rule Calculator helps you quickly solve complex mathematical expressions by applying the BODMAS rule, which stands for Brackets, Orders (powers and roots), Division, Multiplication, Addition, and Subtraction. This rule dictates the order of operations in calculations, ensuring accurate results.
Whether you’re working with fractions, exponents, or basic arithmetic, the BODMAS rule calculator with steps simplifies the process. It’s ideal for students learning to apply the BODMAS method or professionals needing quick solutions to math problems. You can also use the calculator to compare BODMAS with PEMDAS for a clearer understanding of the order of operations.
Formula:
| Variable | Meaning |
|---|---|
| B | Brackets (solving expressions inside parentheses first) |
| O | Orders (exponents and roots) |
| D | Division |
| M | Multiplication |
| A | Addition |
| S | Subtraction |
Solved Calculations :
Example 1:
Expression: 5 + (3 × 2) – 8 ÷ 4
| Step | Calculation | Instructions |
|---|---|---|
| Brackets | 5 + (6) – 8 ÷ 4 | Solve the expression inside the brackets first (3 × 2). |
| Division | 5 + 6 – 2 | Next, divide 8 ÷ 4. |
| Addition and Subtraction | 11 – 2 | Perform the addition (5 + 6). |
| Final Result | 9 | Perform the final subtraction (11 – 2). |
Answer: 9
Example 2:
Expression: (4² + 10) ÷ 2 – 3
| Step | Calculation | Instructions |
|---|---|---|
| Brackets | (16 + 10) ÷ 2 – 3 | First, solve the exponent inside the brackets (4² = 16). |
| Addition | 26 ÷ 2 – 3 | Perform the addition inside the brackets (16 + 10). |
| Division | 13 – 3 | Divide 26 by 2. |
| Final Result | 10 | Perform the final subtraction (13 – 3). |
Answer: 10
What is Bodmas Rule ?
The BODMAS rule is a fundamental principle in mathematics used to solve expressions that include multiple operations. It ensures that calculations are carried out in the correct order: Brackets, Orders (exponents or roots), Division, Multiplication, Addition, and Subtraction.
When using this calculator, you input a mathematical expression, and the calculator automatically applies the correct sequence of operations, providing step-by-step solutions. For example, if you enter an expression with brackets and multiplication, the calculator follows the BODMAS sequence to solve it efficiently. This tool is perfect for simplifying complex problems and avoiding common mistakes in order of operations.
Whether you’re solving simple arithmetic problems or tackling more advanced algebraic expressions, this one is an essential tool for ensuring accuracy. For students, the calculator offers guided steps, helping them understand how to apply this rule correctly in their math problems.
The calculator is also helpful in comparing BODMAS with PEMDAS, which is commonly used in the US but follows the same logic. With features like fraction BODMAS calculation and worksheet, this tool is a versatile resource for math learners and professionals alike.
