Basic operations

Last Updated: 06-Sep-2025


There are some basic operations are used everywhere in real life:

  1. Addition (+) → Joining things together
  2. Subtraction (−) → Taking away
  3. Multiplication (×) → Repeated addition
  4. Division (÷) → Splitting into equal parts
  5. Remainder → Something that is left
  6. Percentage (%) → Percentage of something

✏ Examples

1. Addition (+)

  • Ravi has 3 mangoes, his friend gives 2 more.
  • Total = 3 + 2 = 5.

2. Subtraction (−)

  • A pen costs ₹10. You gave ₹15.
  • Balance you get back = 15 − 10 = 5.

3. Multiplication (×)

  • One chocolate costs ₹5.
  • You buy 4 chocolates.
  • Total cost = 5 × 4 = 20.

4. Division (÷)

  • You have 12 apples.
  • You want to share equally among 4 friends.
  • Each gets 12 ÷ 4 = 3.

5. Remainder

  • If you divide something equally but something is left → that is called remainder.
  • If nothing is left it means answer is 0.
  • Dividend = (Divisor × Quotient) + Remainder
  • example. 7 ÷ 3 = 2, here Divisor = 3,Quotient = 2, Remainder = 1, Dividend = 7.

Order of Operations

When many operations together, we must follow a fixed order. Otherwise, answers will be different and confusing.

Example:
2 + 3 × 4

  • If we do addition first → (2+3)×4 = 20 ❌
  • If we do multiplication first → 2+(3×4) = 14 ✅

That’s why we follow BODMAS rule.


✏ BODMAS Rule

BODMAS = Brackets → Orders → Division → Multiplication → Addition → Subtraction

Step-by-step:

  1. B → Brackets ( ) [ ]
  2. O → Orders (powers, squares, roots)
  3. D → Division (÷)
  4. M → Multiplication (×)
  5. A → Addition (+)
  6. S → Subtraction (−)

💡 Example

  • You have ₹100. You buy 3 pens (₹10 each) and 2 books (₹20 each).
  • Expression: 100 − (3×10 + 2×20)
  • Inside bracket first → (30 + 40) = 70
  • Then subtraction → 100 − 70 = 30
  • Final Answer = ₹30 left

6. Percentage (%)

  • Percentage are used to calculate the amount of something.
  • Percentage = (Total × Percentage) ÷ 100
  • Example :- How much is 20% of 100?
    • (100 × 20) ÷ 100 = 20