Indian Place Value Chart: Definition, Format, Examples & Practice Questions

The Indian Place Value Chart is a chart that shows the periods and places in the Indian System. In the Indian system, digits are grouped into ones, thousands, lakhs and crores, whereas in the International system, the digits are grouped into ones, thousands, millions and billions. Our Indian schools mainly use this chart to teach numbers in the Indian context, which is widely used in currency, population figures, and data interpretation.

Table of Contents

• What is the Indian Place Value Chart?
• What is Place Value?
• Indian Place Value Chart Format
• Reading and Writing Large Numbers
• How to Use Commas in Indian Numbers?
• Indian Place Value Chart After Crore
• Indian Place Value Chart for Class 4
• Indian Place Value Chart for Class 5
• Indian Place Value Chart for Class 6
• Solved Examples on Indian Place Value Chart
• Indian vs International Place Value System
• Number Names in the Indian Place Value System
• Practice Questions on Indian Place Value Chart
• Common mistakes to avoid

What is the Indian Place Value Chart?

The Indian Place Value Chart is a table that tells the place value of a digit in a number. There are nine places and four periods in the Indian place value chart as per the Indian numeral system. To avoid confusion while reading and writing large numbers, we group them into periods with commas. Numbers are used for counting, measuring, comparing, and more.

What Is Place Value?

Place value refers to the value of a digit based on its position in the number. This also helps to write numbers in their expanded form.

For example, in the number 25,614:

• The 2 is in the ten-thousands place, so it means 20,000.

• The 5 is in the thousands place, so it means 5,000.

• The 6 is in the hundreds place, so it means 600.

• The 1 is in the tens place, so it means 10.

• The 4 is in the ones place, so it means 4.

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Indian Place Value Chart Format

The Indian place value system is a chart or table used to find the values of each digit in a number as per the Indian numeral system.

The above chart explains:

• There are nine places under four periods: Ones, Thousands, Lakhs, and Crores.

• While writing a number in numeral form, it is separated by a comma based on periods.

• The Ones period contains three places: Ones, Tens, and Hundreds.

• The Thousands period contains two places: Thousands and Ten-Thousands.

• The Lakhs period contains two places: Lakhs and Ten-Lakhs.

• The Crores period contains two places: Crores and Ten-Crores.

• While reading any number, all digits that come under the same period are read together.

Example - Write 25,614 in the Indian Place Value Chart:

 

Reading and Writing Large Numbers

To read and write large numbers, the Indian place value system breaks them into periods - ones, thousands, lakhs, and crores. Commas separate periods, making numbers easier to spell.

 

 

Tips to read and write large numbers:

• Start reading from left to right.

• Split the number based on periods.

• To write commas, start from the right side; each period is separated by a comma.

How to Use Commas in Indian Numbers?

Follow these steps when writing large numbers using commas:

• Always start putting commas from right to left.

• In the Indian numeral system, commas are placed after the ones period (3 digits), then every 2 digits after that - thousands, lakhs, and crores.

Examples:

• 1,000 = One thousand

• 1,00,000 = One lakh

• 1,00,00,000 = One crore

• 92,74,56,789 = Ninety-two crore seventy-four lakh fifty-six thousand seven hundred eighty-nine

Indian Place Value Chart After Crore

Most students learn the Indian place value system up to crores, but the system continues well beyond. Here is the complete Indian place value chart after crore, used in large-scale financial data, government budgets, and census figures.

Key fact: After crore, the next major unit is Arab (1 Arab = 100 Crore = 1 Billion). This unit appears frequently in India's Union Budget, RBI reports, and large corporate valuations.

Examples:

• 1,00,00,00,000 = 1 Arab = 1 Billion (International)

• 5,00,00,00,000 = 5 Arab = 5 Billion

• 1,00,00,00,00,000 = 1 Kharab = 100 Billion

Indian Place Value Chart for Class 4

In Class 4, students work with numbers up to ten thousands and lakhs. The focus is on reading, writing, and placing 5 - 6 digit numbers correctly.

Place value chart for Class 4 (up to Lakhs):

Reading: 35,427 - Thirty-five thousand four hundred twenty-seven

Class 4 practice examples:

Tip for Class 4: Count 3 digits from the right for the first comma, then 2 digits for each comma after that.

Class 4 Practice Questions on Indian Place Value Chart

1. Write 45,382 in words.
2. Write Seventy-two thousand four hundred fifteen in numerals.
3. Insert commas correctly: 356421
4. Which digit is in the thousands place in 58,327?
5. What is the place value of 4 in 64,281?
6. Write the expanded form of 72,564.
7. How many digits are there in 8,54,321?
8. Which period does 35 belong to in 35,421?
9. Arrange these numbers in ascending order: 45,621, 54,216, 46,512
10. Fill in the blank: 1,00,000 = ____ lakh

Answers

1. Forty-five thousand three hundred eighty-two
2. 72,415
3. 3,56,421
4. 8
5. 4,000
6. 70,000 + 2,000 + 500 + 60 + 4
7. 6 digits
8. Thousands period
9. 45,621, 46,512, 54,216
10. 1 lakh

Indian Place Value Chart for Class 5

In Class 5, students work with numbers up to crores. They also begin comparing the Indian and International place value systems.

Place value chart for Class 5 (up to Crores):

Reading: 2,49,61,893 → Two crore forty-nine lakh sixty-one thousand eight hundred ninety-three

Class 5 practice examples:

Class 5 Practice Questions on Indian Place Value Chart

1. Insert commas correctly in Indian Place Value System: 84562301
2. Write the number name of 5,27,04,918.
3. Write "Nine crore twelve lakh forty thousand seven" in numerals.
4. Write the expanded form of 4,32,15,786.
5. What is the place value of 2 in 8,24,65,931?
6. Which digit is in the thousands place in 6,54,32,187?
7. Fill in the blank: 1 crore = ____ lakhs
8. Arrange in ascending order: 7,23,45,100 ; 6,98,12,900 ; 8,01,34,210
9. True or False: The Indian Place Value Chart has four periods: Ones, Thousands, Lakhs and Crores.
10. How many digits are there in 7,45,62,901?
11. Identify the greatest number: 4,56,78,321 ; 4,65,87,123 ; 4,58,67,321
12. Write the successor of 3,99,99,999.

Answers

1. 8,45,62,301
2. Five crore twenty-seven lakh four thousand nine hundred eighteen
3. 9,12,40,007
4. 4,00,00,000 + 30,00,000 + 2,00,000 + 10,000 + 5,000 + 700 + 80 + 6
5. 20 lakh = 20,00,000
6. 2
7. 100
8. 6,98,12,900 ; 7,23,45,100 ; 8,01,34,210
9. True
10. 9
11. 4,65,87,123
12. 4,00,00,000

Indian Place Value Chart for Class 6

In Class 6, students work with numbers beyond crore, master the Indian vs International conversion, and write number names for large values used in finance, science, and census data.

Class 6 - Indian vs International at a glance:

Class 6 challenging number names:

Class 6 key conversions to remember:

• 1 Crore = 10 Million

• 1 Arab = 1 Billion

• 1 Kharab = 1 Trillion

• Indian grouping: 3-2-2-2-2

• International grouping: 3-3-3-3

Class 6 Practice Questions on Indian Place Value Chart

1. Write 8,23,71,504 in words.
2. What is the place value of 4 in 6,94,27,813?
3. Write "Nine arab twelve crore forty lakh seven thousand two hundred" in numerals.
4. Which digit is in the ten-lakhs place in 4,81,63,205?
5. Insert commas correctly: 9084567231
6. Write the expanded form of 7,08,54,231.
7. Which digit is in the thousands place in 2,56,94,187?
8. Write 1,47,08,03,250 in words.
9. How many periods are there in 7,84,15,92,631? Name them.
10. What is the face value and place value of 9 in 8,39,24,561?

Answers

1. Eight crore twenty-three lakh seventy-one thousand five hundred four
2. 4 lakh = 4,00,000
3. 9,12,40,07,200
4. 8
5. 9,08,45,67,231
6. 7,00,00,000 + 8,00,000 + 50,000 + 4,000 + 200 + 30 + 1
7. 4
8. One arab forty-seven crore eight lakh three thousand two hundred fifty
9. 5 - Arabs, Crores, Lakhs, Thousands, Ones
10. Face value = 9, Place value = 9,00,000

Solved Examples on Indian Place Value Chart

Example 1:  Represent 1924537 using commas in the Indian Place Value System.

Solution:

Use the comma rule 3-2-2 from the right.

19,24,537

Read as: Nineteen lakh twenty-four thousand five hundred thirty-seven

Example 2:  Read and write the number 5,17,89,346 in words.

Solution:

Arrange the number in the Indian place value system:

Five crore seventeen lakh eighty-nine thousand three hundred forty-six

Example 3:  The budget allocation for a project is ₹12,45,00,000. Write this amount in words.

Solution: Twelve crore forty-five lakh rupees

Indian vs International Place Value System

The difference between the Indian and International place value systems affects how large numbers are read, written, and grouped with commas.

 

Most-used conversion reference:

 

Number Names in the Indian Place Value System

Writing number names using the Indian place value system is a key skill - especially for students sitting board exams.

Number names for Indian rupee amounts:

Step-by-step: How to write a number name using the Indian place value chart

Example: 3,85,17,892

• Identify periods from right:  892 (Ones) | 17 (Thousands) | 85 (Lakhs) | 3 (Crores)

• Read each period:  3 Crore, 85 Lakh, 17 Thousand, 892

• Combine: Three crore eighty-five lakh seventeen thousand eight hundred ninety-two

Practice Questions on Indian Place Value Chart

1. Write 8,45,62,301 in words.
2. What is the place value of 6 in 3,96,78,923?
3. Write "Nine crore twenty lakh fifty-six thousand three hundred ten" in numerals.
4. Which digit is in the lakhs place in 7,83,45,210?
5. How many periods are there in 5,17,89,183? Name them.
6. Insert commas correctly: 45178023
7. Write the expanded form of 3,05,67,892.
8. Which digit is in the ten-thousands place in 6,24,85,731?
9. Write 2,08,05,701 in words.
10. What is the face value and place value of 8 in 1,28,45,367?

Answers

1. Eight crore forty-five lakh sixty-two thousand three hundred one
2. 6 lakh = 6,00,000
3. 9,20,56,310
4. 3
5. 4 - Crores, Lakhs, Thousands, Ones
6. 4,51,78,023
7. 3,00,00,000 + 5,00,000 + 60,000 + 7,000 + 800 + 90 + 2
8. 8
9. Two crore eight lakh five thousand seven hundred one
10. Face value = 8; Place value = 8,00,000

Common mistakes to avoid