💯 Big Numbers · Lakhs, Crores & Millions
Numbers up to 10 crore (Indian) and 100 million (International). Learn both comma systems, place value vs face value, succ/pred, standard ↔ expanded form, numerals ↔ words, and comparing.
⚡ Cheat sheet
| 1 thousand | 1 lakh | 10 lakh = 1 million | 1 crore = 10 million | 10 crore = 100 million |
|---|---|---|---|---|
| 1,000 | 1,00,000 | 10,00,000 = 1,000,000 | 1,00,00,000 = 10,000,000 | 10,00,00,000 = 100,000,000 |
In the Indian system, places are grouped like this from the right:
| Ten Crores10,00,00,000 | Crores1,00,00,000 | Ten Lakhs10,00,000 | Lakhs1,00,000 | Ten Thousands10,000 | Thousands1,000 | Hundreds100 | Tens10 | Ones1 |
|---|---|---|---|---|---|---|---|---|
| 10⁸ | 10⁷ | 10⁶ | 10⁵ | 10⁴ | 10³ | 10² | 10¹ | 10⁰ |
• 5 → ten crores (5 × 10⁷ = 5 crore = 5,00,00,000)
• 34 → lakhs (34 × 10⁵ = 34 lakh = 34,00,000)
• 67 → thousands (67 × 10³ = 67,000)
• 890 → ones-tens-hundreds
In the International system, places group in threes:
| Hundred Millions100,000,000 | Ten Millions10,000,000 | Millions1,000,000 | Hundred Thousands100,000 | Ten Thousands10,000 | Thousands1,000 | Hundreds100 | Tens10 | Ones1 |
|---|
| System | Rule | Pattern (right → left) | Example |
|---|---|---|---|
| Indian | First comma after 3 digits, then every 2 digits | 3 - 2 - 2 - 2 … | 1,23,45,67,890 |
| International | Comma every 3 digits | 3 - 3 - 3 … | 1,234,567,890 |
• Indian → 76,54,321 (3, then pair, then pair)
• International → 7,654,321 (groups of 3)
Standard form = the regular number, with commas. Expanded form = the number broken into the place values of each digit, joined with + signs.
Expanded: 5,00,000 + 30,000 + 4,000 + 500 + 60 + 7
Two important — and often confused — definitions:
- Face value of a digit = the digit itself, regardless of where it sits.
- Place value of a digit = the digit × the worth of its place.
• Face value = 2 (always just the digit)
• Place value = 2 × 1,00,000 = 2,00,000 (the 2 is in the lakhs place)
To read a number, name each group from left:
- Crores group (the digits before the first comma in 7+ digits)
- Lakhs group (next 2 digits)
- Thousands group (next 2 digits)
- Hundreds + tens + ones (last 3 digits)
5,03,007 → "five lakh three thousand seven" (skip empty places).
"Two crore five lakh" → 2,05,00,000.
The successor is the next number (+1). The predecessor is the previous number (−1).
• Predecessor of 1,00,00,000 (1 crore) → 99,99,999
• Successor of 9,99,99,999 → 10,00,00,000 (10 crore)
- Count digits. The number with more digits is larger (e.g. 1,00,00,000 > 99,99,999).
- Same digit count? Compare from the LEFT (highest place first), digit by digit, until they differ.
✍️ Practice
Auto-scored. Type the answer in each box, then hit Check.
1. Put commas — Indian system
Add commas in the Indian style (3, then 2, then 2…).
2. Put commas — International system
Add commas in groups of 3 from the right.
3. Successor & Predecessor
Indian commas are fine. Pure digits also work.
4. Standard form (from expanded)
Add the parts. Indian commas accepted.
5. Expanded form (from standard)
Use + signs. Either with or without commas works.
6. Numerals from words (Indian)
Indian commas accepted. Pure digits also fine.
7. Words from numerals (Indian)
Lowercase is fine. Hyphens optional (twenty-three or twenty three).
8. Place value & Face value of underlined digit
Type the number for place value (e.g. 5,00,000); a single digit for face value.
9. Compare: <, >, =
Type <, >, or =.
🎯 Quiz
Auto-graded. 300 questions in the bank · 25 random per attempt covering all 11 skills. Score 80%+ on three attempts in a row to know it's stuck.
🖨️ Printable Worksheet
A4 worksheet with fresh numbers on every reload, 9 sections covering every skill, plus a built-in answer key for parents.
📝 Chapter Exam
25 mixed questions, 30 sec/question, full review at the end.