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BODMASCalculator

(Mathematical Expression)



This BODMAS calculator takes a mathematical expression as input and solves the expression using BODMAS rules.

BODMAS

Understanding BODMAS

BODMAS is an acronym that helps remember the order of operations in mathematical expressions. It stands for:

  • Brackets
  • Orders (i.e., powers and square roots, etc.)
  • Division
  • Multiplication
  • Addition
  • Subtraction

Using the BODMAS rule ensures that mathematical expressions are solved correctly by prioritizing operations in the correct order.

Solving an Expression Using BODMAS

To solve an expression using BODMAS, follow these steps:

  1. Brackets: Solve expressions inside brackets first.
  2. Orders: Calculate powers and roots.
  3. Division and Multiplication: From left to right, perform all division and multiplication operations.
  4. Addition and Subtraction: From left to right, perform all addition and subtraction operations.

Example 1

Let's solve an example step by step:

Expression: 7 + 3 * (10 / (12 / (3 + 1) - 1))

Step 1: Solve the innermost bracket (3 + 1)
7 + 3 * (10 / (12 / 4 - 1))

Step 2: Solve the next bracket (12 / 4)
7 + 3 * (10 / 3 - 1)

Step 3: Solve the remaining brackets (10 / 3 - 1)
7 + 3 * (3.33 - 1)
7 + 3 * 2.33

Step 4: Perform multiplication
7 + 6.99

Step 5: Perform addition
13.99

Example 2

Here's another example to illustrate the BODMAS rule:

Expression: 5 * (6 + 2) - 12 / 4

Step 1: Solve the brackets (6 + 2)
5 * 8 - 12 / 4

Step 2: Perform multiplication and division from left to right
40 - 3

Step 3: Perform subtraction
37