Lecture on BODMAS/BIDMAS

Introduction to BODMAS/BIDMAS

• BODMAS/BIDMAS is an acronym to remember the order of operations in mathematics.
• BODMAS: Brackets, Order (or Indices), Division, Multiplication, Addition, Subtraction.
• BIDMAS: Brackets, Indices, Division, Multiplication, Addition, Subtraction.
• The second letter differs: 'O' for Order or 'I' for Indices.
• Important for solving equations with multiple operations correctly.

Order of Operations Explained

1. Brackets: Solve anything inside brackets first.
2. Order/Indices: Solve exponentials or powers (e.g., square, cube).
3. Division and Multiplication: Perform from left to right.
4. Addition and Subtraction: Perform from left to right.

• Note: For Division and Multiplication or Addition and Subtraction, handle operations from left to right. No need to prioritize one over the other within those sets.

Example Problem Walkthrough

• Example 1:

  1. Equation: 18 / 6 + 3^2 * 2
  2. Brackets: 18 divided by 6 equals 3.
  3. Simplified: 3 + 3^2 * 2
  4. Order/Indices: 3 squared equals 9.
  5. Simplified: 3 + 9 * 2
  6. Multiplication: 9 times 2 equals 18.
  7. Simplified: 3 + 18
  8. Addition: 3 plus 18 equals 21.
  9. Final Answer: 21

• Example 2:

  1. Equation: (4^2 - 6 * 2) / (4 / 2 * 4) + 7
  2. Brackets: Start with left bracket.
  3. Order: 4 squared equals 16.
  4. Simplified: 16 - 6 * 2
  5. Multiplication: 6 times 2 equals 12.
  6. Subtraction: 16 minus 12 equals 4.
  7. Rewrite as: 4^2 / (4 / 2 * 4) + 7
  8. Right Bracket: 4 divided by 2 equals 2.
  9. Multiply: 2 times 4 equals 8.
  10. Simplified: 4^2 / 8 + 7
  11. Order: 4 squared equals 16.
  12. Division: 16 divided by 8 equals 2.
  13. Addition: 2 plus 7 equals 9.
  14. Final Answer: 9*

Conclusion

• Using BODMAS/BIDMAS ensures correct order of operations.
• Common mistake: Forgetting to apply BODMAS/BIDMAS.
• Tip: Always think of BODMAS when solving equations.
• Reminder: Practice makes perfect.

• End of lecture notes.
• Encourage sharing and revisiting the material.