The same digit can be worth 5, or 5 million, depending only on where it sits. Explore how position changes value — and how that changes depending on which country's numbering system you're using.
Every digit in a number tells two different stories: what it looks like on its own, and what it's worth because of where it's sitting. Understanding both — and how they shift between numbering systems used around the world — is the foundation for reading any large number correctly.
The face value of a digit is simply the digit itself — its identity, with no reference to where it appears in the number. The face value of 7 is always 7, whether it's sitting in the ones place or the millions place.
In the number 7,392, the face value of 7 is just 7. The face value of 3 is just 3. Position never changes face value.
The place value of a digit is what it's actually worth because of its position in the number — the digit multiplied by the value of the column it sits in (ones, tens, hundreds, and so on).
In the number 7,392, the digit 7 sits in the thousands column, so its place value is 7,000 — not 7. The digit 3 sits in the hundreds column, so its place value is 300.
This mixes up face value (the digit alone) with place value (the digit's worth based on position) — the single most common confusion in this topic.
The fix: face value of 7 is 7. Place value of 7 in 7,392 is 7,000, because it sits in the thousands column. Same digit, two different questions, two different answers.
Tap any digit below to reveal its place value and face value. Then switch systems to see how the same digit's place value changes name between the International and Indian/Pakistani systems.
Tap a digit above to see its place value and face value.
The International system — used in the USA, UK, and most of the world — groups digits into sets of three, separated by commas: ones, thousands, millions, billions.
| Place | Value | Example Digit Position |
|---|---|---|
| Ones | 1 | Rightmost digit |
| Tens | 10 | 2nd from right |
| Hundreds | 100 | 3rd from right |
| Thousands | 1,000 | 4th from right |
| Ten Thousands | 10,000 | 5th from right |
| Hundred Thousands | 100,000 | 6th from right |
| Millions | 1,000,000 | 7th from right |
| Ten Millions | 10,000,000 | 8th from right |
| Hundred Millions | 100,000,000 | 9th from right |
| Billions | 1,000,000,000 | 10th from right |
Comma rule: starting from the right, place a comma after every group of 3 digits. 342567891 becomes 342,567,891.
India and Pakistan use a different grouping system, built around lakh (100,000) and crore (10,000,000) instead of continuing in groups of three. This system is standard in everyday use, news reporting, and government figures in both countries.
| Place | Value | Example Digit Position |
|---|---|---|
| Ones | 1 | Rightmost digit |
| Tens | 10 | 2nd from right |
| Hundreds | 100 | 3rd from right |
| Thousands | 1,000 | 4th from right |
| Ten Thousands | 10,000 | 5th from right |
| Lakhs | 1,00,000 | 6th from right |
| Ten Lakhs | 10,00,000 | 7th from right |
| Crores | 1,00,00,000 | 8th from right |
| Ten Crores | 10,00,00,000 | 9th from right |
| Arabs | 1,00,00,00,000 | 10th from right |
Comma rule: the rightmost group is 3 digits, but every group after that is only 2 digits. 342567891 becomes 34,25,67,891.
Comma placement is not interchangeable between the two systems — using International commas while reading Indian place names (or vice versa) misreads the number entirely.
The fix: convert properly. 34567891 in the International system is 34,567,891 (34 million). The same digits in the Indian system are grouped as 3,45,67,891 (3 crore 45 lakh). Always regroup the digits according to the system's own comma rule — never mix them.
| Indian/Pakistani Term | Value | International Equivalent |
|---|---|---|
| 1 lakh | 1,00,000 | 100 thousand |
| 10 lakh | 10,00,000 | 1 million |
| 1 crore | 1,00,00,000 | 10 million |
| 10 crore | 10,00,00,000 | 100 million |
| 1 arab | 1,00,00,00,000 | 1 billion |
100 lakh = 1 crore. 100 thousand = 1 lakh. 100 crore = 1 arab. Every "hundred" of one unit becomes the next unit up in the Indian/Pakistani system — a much more regular pattern than it first appears.
A news report in Pakistan might describe a national budget as "45 arab rupees," while the same figure reported internationally would read "4.5 billion rupees." Both describe the exact same amount of money — 45,00,00,00,000 in the Pakistani system, or 4,500,000,000 in the International system — just grouped differently.
The word "lakh" comes from the Sanskrit "laksha," and "crore" comes from "koti" — both terms are thousands of years old, far predating the modern International comma system, which only became standard worldwide in the last few centuries.
Tap the correct answer for each question. Covers both the International and Indian/Pakistani systems.
12 questions. Select an answer for each, then submit to see your score instantly.