🇮🇳 Indian Place Value System – Lakhs, Crores & Beyond!
Have you ever seen a price like ₹5,00,000 or read "10 crore people" in the news? That's the Indian way of writing big numbers! Let's explore how lakhs and crores work, and why we put commas in funny places.
📖 In this post:
1. 🇮🇳 What is the Indian Place Value System?
The Indian place value system is how we read, write, and say large numbers in India. Instead of millions and billions, we use lakhs and crores.
- 1 lakh = 100,000 (1 followed by 5 zeros)
- 1 crore = 100 lakhs = 10,000,000 (1 followed by 7 zeros)
- We group numbers differently – first 3 digits, then after every 2 digits.
The number 9,87,65,43,210 = 9 crore 87 lakh 65 thousand 4 hundred ten? Wait – that grouping is not correct. We'll learn the proper grouping next.
2. 🏘️ The Four Periods: Ones, Thousands, Lakhs, Crores
In the Indian system, digits are grouped into periods from right to left:
10,00,00,000
10,00,000
10,000
100
1,00,00,000
1,00,000
1,000
10
3. 🔢 The 3:2:2 Comma Rule
In the Indian system, we put commas in a special pattern: 3 digits from the right, then every 2 digits.
- Start from the right – group the first 3 digits (Ones period)
- Then group next 2 digits (Thousands period)
- Then next 2 digits (Lakhs period)
- Then next 2 digits (Crores period), and so on.
98,76,54,321 = 98 crore 76 lakh 54 thousand 321
Start from right: 43871965
Ones period: last 3 digits = 965
Thousands period: next 2 digits = 71
Lakhs period: next 2 digits = 38
Crores period: remaining digits = 4
Answer: 4,38,71,965
56321871 → from right: 871 (ones), 21 (thousands), 32 (lakhs), 56 (crores) → 5,63,21,871
- 74028952
- 1835762
- 97035061
4. 📝 Writing Numbers in Words (Indian Style)
In the Indian system, we read each period separately and add the period name.
23 lakhs + 19 thousand + 617 → Twenty-three lakh nineteen thousand six hundred seventeen
Five crore sixty-three lakh twenty-one thousand eight hundred seventy-one
Nine crore seventy lakh thirty-five thousand sixty-one
- 26,42,523
- 4,29,12,069
- 9,02,47,169
5. 🌍 Indian vs International System
The rest of the world uses a different system – with millions and billions. Let's compare.
🇮🇳 Indian System
- Periods: Ones, Thousands, Lakhs, Crores
- Commas: 3:2:2 pattern
- 1,00,000 = 1 lakh
- 10,00,000 = 10 lakhs
- 1,00,00,000 = 1 crore
🌐 International System
- Periods: Ones, Thousands, Millions, Billions
- Commas: 3:3:3 pattern
- 100,000 = one hundred thousand
- 1,000,000 = one million
- 1,000,000,000 = one billion
- 1 lakh = 100,000 (one hundred thousand)
- 10 lakhs = 1 million
- 1 crore = 10 million
- 100 crores = 1 billion
5,73,89,256 = 57,389,256 in International system (group in threes).
6. ✅ More Solved Examples
670380 → 6,70,380 → Six lakh seventy thousand three hundred eighty
800700 → 8,00,700 → Eight lakh seven hundred
1,210,193,422 → regroup in 3:2:2 pattern = 1,21,01,93,422
In words: One hundred twenty-one crore one lakh ninety-three thousand four hundred twenty-two
- Write 7,634,501 in Indian system with commas and words.
- Write 42,912,069 in Indian system with commas and words.
7. 🏦 Real-Life Word Problems
Words: One hundred twenty-one crore one lakh ninety-three thousand four hundred twenty-two
International: 1,210,193,422
Five crore sixty-seven lakh eighty-nine thousand four hundred thirty-two rupees
23 lakh = 23,00,000 = 23,00,000
Eight lakh forty-five thousand nine hundred ninety rupees
₹2,50,00,000 = 250 lakhs = 2.5 crores
✏️ Practice Zone
Try all questions yourself first. Click the answer key only after you've finished.
🟡 Class 4 Level
- Q1. Place commas in 2930625 using Indian system.
- Q2. Write 18,35,762 in words.
- Q3. Write in figures: Seventy-six lakh thirty-four thousand five hundred one.
- Q4. Which period comes after Lakhs in Indian system?
- Q5. How many digits are in the Ones period?
- Q6. Write 8,00,700 in words.
- Q7. Convert 1 lakh to number of zeros.
- Q8. Which is bigger: 5 lakhs or 500,000?
🔵 Class 5 Level
- Q9. Place commas in 97035061 using Indian system and write in words.
- Q10. Write 5,67,89,32,156 in words (careful with periods).
- Q11. Convert 7 crores to millions.
- Q12. Write in International system: 4,29,12,069.
- Q13. A company earned ₹12,50,00,000 profit. Write in words and convert to crores.
- Q14. Which has more zeros – 1 crore or 10 million? Explain.
- Q15. Arrange in ascending order: 23 lakhs, 2 million, 1 crore, 95 lakhs.
- Q16. Create your own 9-digit number. Write it with Indian commas and in words.
🟢 Match the Following
Q1. 29,30,625
Q2. Eighteen lakh thirty-five thousand seven hundred sixty-two
Q3. 76,34,501
Q4. Crores
Q5. 3 digits
Q6. Eight lakh seven hundred
Q7. 5 zeros
Q8. Both are equal
Q9. 9,70,35,061 = Nine crore seventy lakh thirty-five thousand sixty-one
Q10. (This requires careful grouping)
Q11. 70 million
Q12. 42,912,069
Q13. Twelve crore fifty lakh rupees = 12.5 crores
Q14. Both have 7 zeros – equal
Q15. 2 million (20 lakhs), 23 lakhs, 95 lakhs, 1 crore (100 lakhs)
Match: 1→C, 2→A, 3→B, 4→D
Reinforce Indian place value system with our 35‑question practice worksheet – includes comma placement, word problems, conversions, and answer key.
📝 Go to Practice Worksheet
