full form bodmas

Understanding BODMAS: The Order of Operations in Mathematics

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

  • B: Brackets
  • O: Orders (i.e., powers and square roots, etc.)
  • D: Division
  • M: Multiplication
  • A: Addition
  • S: Subtraction

Importance of BODMAS

Using BODMAS is crucial for:

  • Clarity: Ensures that everyone interprets mathematical expressions in the same way.
  • Accuracy: Prevents miscalculations by following a standard procedure.

Example of BODMAS in Action

Consider the expression:
8 + 2 × (3^2 – 1)

Step-by-step breakdown:

  1. Brackets: Calculate inside the brackets first.
    (3^2 – 1 = 9 – 1 = 8)
    So, the expression becomes:
    8 + 2 × 8

  2. Orders: Already completed in the previous step.

  3. Division and Multiplication: From left to right.
    (2 × 8 = 16)
    Now we have:
    8 + 16

  4. Addition and Subtraction: From left to right.
    (8 + 16 = 24)

Conclusion

By following the BODMAS rule, you can solve complex mathematical expressions accurately and efficiently. Always remember the order to avoid mistakes!

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