BODMAS Rule Calculator

Formula

The formula to calculate the result using the BODMAS rule is:

\[ \text{Result} = B + O + \frac{D}{M} + \frac{A}{S} \]

Where:

\( B \) is the result of calculations inside brackets
\( O \) is the result of orders (powers and square roots, etc.)
\( D/M \) is the result of division and multiplication (from left to right)
\( A/S \) is the result of addition and subtraction (from left to right)

Definition

BODMAS Rule: A mathematical principle used to clarify the order of operations in calculations that involve multiple mathematical operations. The acronym stands for Brackets, Orders (powers and square roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right). This rule ensures that calculations are done in the correct sequence to avoid any discrepancies in the result.

Example

Let's say the expression is \( (2 + 3) \times 4^2 - 10 / 2 \). Using the BODMAS rule:

First, calculate inside the brackets:

\[ (2 + 3) = 5 \]

Next, calculate the orders (powers):

\[ 4^2 = 16 \]

Then, perform the multiplication and division from left to right:

\[ 5 \times 16 = 80 \]

\[ 10 / 2 = 5 \]

Finally, perform the addition and subtraction from left to right:

\[ 80 - 5 = 75 \]

So, the result is 75.

How to Calculate BODMAS

Definition: BODMAS is an acronym that helps remember the order of operations in mathematics: Brackets, Orders (i.e., powers and roots), Division and Multiplication, Addition and Subtraction.

Example: Calculate \( 3 + 6 \times (5 + 4) \div 3 - 7 \)

Step 1: Brackets first: \( 3 + 6 \times 9 \div 3 - 7 \)
Step 2: Orders (none in this example)
Step 3: Division and Multiplication (from left to right): \( 3 + 18 - 7 \)
Step 4: Addition and Subtraction (from left to right): \( 21 - 7 = 14 \)

BODMAS Rule in Maths

Definition: The BODMAS rule is a guideline for solving mathematical expressions in the correct order.

Example: Calculate \( 8 + (3 \times 2^2) - 4 \)

Step 1: Brackets first: \( 8 + (3 \times 4) - 4 \)
Step 2: Orders: \( 8 + 12 - 4 \)
Step 3: Division and Multiplication (none in this example)
Step 4: Addition and Subtraction: \( 20 - 4 = 16 \)

BODMAS Math Rule Examples

Definition: Examples demonstrating the application of the BODMAS rule in solving mathematical expressions.

Example: Calculate \( 7 + 3 \times (10 \div 2) \)

Step 1: Brackets first: \( 7 + 3 \times 5 \)
Step 2: Orders (none in this example)
Step 3: Division and Multiplication: \( 7 + 15 \)
Step 4: Addition and Subtraction: \( 22 \)

BODMAS Calculator with Steps

Definition: A calculator that shows step-by-step solutions using the BODMAS rule.

Example: Calculate \( 5 \times (2 + 3^2) - 8 \)

Step 1: Brackets first: \( 5 \times (2 + 9) - 8 \)
Step 2: Orders: \( 5 \times 11 - 8 \)
Step 3: Division and Multiplication: \( 55 - 8 \)
Step 4: Addition and Subtraction: \( 47 \)

BODMAS Rule Problems with Answers

Definition: Problems that require the application of the BODMAS rule to find the correct answer.

Example: Calculate \( 4 + 18 \div (3 \times 2) \)

Step 1: Brackets first: \( 4 + 18 \div 6 \)
Step 2: Orders (none in this example)
Step 3: Division and Multiplication: \( 4 + 3 \)
Step 4: Addition and Subtraction: \( 7 \)