Place Value & Number Names
Type any number up to 99,99,99,99,999 to see its place value chart, commas, expanded form and number name in both the Indian (lakh, crore) and International (million, billion) systems.
Place value is what a digit is worth because of where it sits. In 4,72,315 the digit 7 has a face value of 7 but a place value of 7 × 10,000 = 70,000. The Indian system groups digits as crore, lakh and thousand with commas after 3 then every 2 digits; the International system uses millions with a comma every 3 digits.
Type a number
Up to 11 digits, with up to 2 decimal places. Commas are optional.
Commas in both systems
Number name in words
Tap the speaker to hear it read aloud.
Expanded form
The number written as the sum of the place values of its digits.
Place value chart
Click any digit to compare its face value and place value. The same digit lights up in both systems.
Indian system
International system
Practice quiz
10 questions: write numbers in figures and find digits by place.
Indian ↔ International
Same numbers, different names and commas.
| Number | Indian | International |
|---|---|---|
| 1,000 | 1 thousand | 1 thousand |
| 1,00,000 | 1 lakh | 100 thousand |
| 10,00,000 | 10 lakh | 1 million |
| 1,00,00,000 | 1 crore | 10 million |
| 10,00,00,000 | 10 crore | 100 million |
| 1,00,00,00,000 | 1 arab (100 crore) | 1 billion |
| 10,00,00,00,000 | 10 arab (1,000 crore) | 10 billion |
Every digit has a place
The same digit can be worth 7 or 70 lakh — it all depends on where it sits.
Type a number
Up to 99,99,99,99,999 with up to two decimal places — commas are added for you.
Read it both ways
See the commas and number name in the Indian and International systems, and hear them read aloud.
Explore the chart
Click any digit for its face value and place value, and switch the expanded form style.
Test yourself
Take the 10-question quiz — write numbers in figures and find digits by their place.
Face value vs place value
The face value of a digit is the digit itself. Its place value is the digit × the value of its place.
In 4,72,315 the 7 has face value 7 and place value 7 × 10,000 = 70,000. The place value of 0 is always 0.
Placing commas
Indian: first comma after the hundreds (3 digits from the right), then after every 2 digits: 4,50,73,812.
International: a comma after every 3 digits from the right: 45,073,812.
Writing number names
- Read each period from the left, then say its name: 4,50,73,812 → four crore fifty lakh seventy-three thousand eight hundred twelve.
- Skip periods that are all zeros, and use a hyphen for tens and ones: twenty-one.
- Lakh and crore never take an “s” in a number name.
Expanded form
Write a number as the sum of the place values of its digits:
3,05,240 = 3,00,000 + 5,000 + 200 + 40
Zeros add nothing, so they are left out.
Place Value & Number Names — your questions
What is the difference between face value and place value?
The face value of a digit is just the digit itself, wherever it appears. Its place value is the digit multiplied by the value of the place it sits in. In 4,72,315 the digit 7 has face value 7 and place value 7 × 10,000 = 70,000. The place value of the digit 0 is always 0.
Where do commas go in the Indian number system?
Put the first comma after three digits from the right, then after every two digits: 4,50,73,812. The International system is different — a comma every three digits, giving 45,073,812 for the same number. Indian periods run ones, thousands, lakhs and crores; International periods run ones, thousands, millions and billions.
How many zeros are there in one lakh and one crore?
One lakh is 1,00,000 with five zeros, and one crore is 1,00,00,000 with seven zeros. One lakh is the smallest 6-digit number, exactly one more than 99,999, and one crore is one more than 99,99,999. Ten lakh equals one million, and one crore equals ten million.
How do I write a number in words?
Read each period from the left and say its name. For 4,50,73,812 that is four crore, fifty lakh, seventy-three thousand, eight hundred twelve. Skip any period that is all zeros, hyphenate tens and ones as in twenty-one, and remember that lakh and crore never take an s in a number name.
How do I convert crore to million?
One crore equals ten million, and one million equals ten lakh. So multiply crore by 10 to get million, and divide million by 10 to get crore: ₹2.5 crore is ₹25 million, and $4 million is 40 lakh. One arab, which many textbooks call a hundred crore, equals one billion.
What is the expanded form of a number?
The expanded form writes a number as the sum of the place values of its digits, so 3,05,240 = 3,00,000 + 5,000 + 200 + 40. Zeros contribute nothing and are left out. This tool can also show it as digit × place or using powers of 10, which is the version used from Class 5 onwards.