BODMAS — Order of Operations

BODMAS — operations का सही order

Learning Objective

Apply the BODMAS order correctly to simplify any expression.

🎯 Learning Objective

Apply the BODMAS order correctly to simplify any expression.

💡 Concept

  • B → Brackets first: ( ), { }, [ ] — innermost first
  • O → Of (means multiply): ½ of 8 = 4
  • D → Division, M → Multiplication (left to right)
  • A → Addition, S → Subtraction (left to right)
  • Bar/vinculum (line above) is solved before everything

🧮 Key Formulas

BODMAS: Brackets → Of → Div/Mul (L→R) → Add/Sub (L→R)

✏️ Easy Example

Q. Simplify: 12 + 8 ÷ 4 × 2 − 5

  1. Division first: 8 ÷ 4 = 2
  2. Then multiply: 2 × 2 = 4
  3. 12 + 4 − 5 = 11

Answer: 11

🇮🇳 Real-Life Example

Shop bill: 3 pens at ₹10 plus 2 notebooks at ₹25 = 3×10 + 2×25 = ₹80. Multiply before add — BODMAS in action.

📝 Exam-Level Example

Q. Simplify: 25 − [12 − {8 − (6 − 2̄+1̄)}]

  1. Bar first: 2+1 = 3
  2. Inner ( ): 6 − 3 = 3
  3. { }: 8 − 3 = 5
  4. [ ]: 12 − 5 = 7; then 25 − 7 = 18

Answer: 18

🪄 Memory Trick

Work inside-out for brackets: bar → ( ) → { } → [ ]. Never jump levels.

⚠️ Common Mistakes

  • ❌ Doing multiplication before division when division comes first (go left to right)
  • ❌ Ignoring the bar/vinculum

🏆 Exam Tips

  • ✅ RRB asks 2–3 direct BODMAS questions — free marks
  • ✅ Rewrite 'of' as × before solving

📌 Summary

  • BODMAS order is fixed
  • Brackets inside-out; bar first
  • Div/Mul and Add/Sub: left to right
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