104 LearnersLast updated on July 4th, 2025
Indian Place Value Chart
The Indian place value chart is a way of expressing the value of the digit of a number following the Indian numeral system. Place value of a number refers to the accurate position of the digit in a number. In the junior section, this value chart is used for easy memorization of numbers. In this article, we will discuss the significance and applications of the Indian place value chart.
What is the Indian Place Value Chart?
The Indian Place Value Chart consists of numerals, which are symbols used to represent numbers based on the Indian numeral system. The Indian Numeral System uses unique names for each place value as compared to other systems. In the Indian number system, numbers are counted in ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, and crores. This system is also known as the Hindu-Arabic System of Numeration.
The key features of the Indian Place Value Chart are discussed below:
- The Indian Place Value Chart is divided into four periods: ones, thousands and ten thousands, lakhs, and crores, which together cover nine place values.
- Commas are used in numerical writing to separate these periods.
- Beginning on the right, the first period consists of three place values: ones, tens, and hundreds.
- The second period is made up of two place values: thousands and ten thousand.
- The third period, lakhs, is made up of lakhs and ten lakhs.
- The fourth period, crores, includes crores and ten crores.
Periods in Indian Place Value Chart
The visual representation of place values within a number helps us understand it better. Now, from the table below, let’s look at the periods in the Indian Place Value Chart.
Periods on Ones
| Place value | Hundreds | Tens | Ones |
| Number | 100 | 10 | 1 |
| Number of zeros | 2 | 1 | 0 |
Periods on Thousands
| Place value | Ten Thousand | Thousand |
| Number | 10000 | 1000 |
| Number of zeros | 4 | 3 |
Periods on Lakhs
| Place value | Ten Lakhs | Lakhs |
| Number | 1000000 | 100000 |
| Number of zeros | 6 | 5 |
Periods on Crores
| Place value | Ten Crore | Crore |
| Number | 100000000 | 10000000 |
| Number of zeros | 8 | 7 |
Indian Decimal Place Value Chart
The Indian Decimal Place Value Chart represents the positions of each digit in a decimal number that includes both the whole number part and the decimal part. This chart is also based on the Indian numeral system. It helps us easily read or write large decimal numbers.
The whole number part of the decimal number moves to the left of the decimal point, which includes place value, such as ones, tens, hundreds, thousands, lakhs, and so on. On the other hand, the fractional part moves to the right of the decimal point with place values such as tenths, hundredths, thousandths, ten thousandths.
For example:
Whole Number Part (Left of the decimal point)
| Crores | Ten Lakhs | Lakhs | Ten Thousands | Thousands | Hundreds | Tens | Ones |
| - | 1 | 4 | 2 | 5 | 6 | 3 | 2 |
Decimal Part (Right of the Decimal Point)
| Tenths | Hundredths | Thousandths | Ten Thousandths |
| 8 | 1 | 4 | 1 |
So, 14,25,632.8141 is read as:
Fourteen lakh, twenty-five thousand, six hundred and thirty-two point eight thousand one hundred forty-one.
Difference Between Indian and International Place Value
Indian and International place values are two related but different concepts. The key differences between them are discussed below:
| Indian Place Value Chart | International Place Value Chart |
| There are four periods in nine places: ones, thousands, lakhs, and crores. | There are three periods in nine places: ones, thousands, and millions. |
| Its place values are ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, and ten crores. | Its place values are ones, tens, hundreds, thousands, ten thousands, a hundred thousand, millions, ten million, and hundred million. |
| The periods in this system follow the 3:2:2 rule. This means commas are placed starting from the right, the first comma after the first 3 digits, then the next commas are placed after every 2 digits. e.g., 2,65,73,42,189 |
In this system, periods follow the 3:3:3 rule, which indicates the commas are placed after every 3 digits from left to right. e.g., 3,748,256,129 |
Tips and Tricks for the Indian Place Value Chart
Understanding place value charts helps students visualize the place values of numbers. Here are a few tips and tricks to master them more easily:
- Always apply the 3:2:2 rule for commas.
Starting from the right, the first comma is placed after 3 digits, and the next two commas after every two digits.
For example: 6,83,42,609
- Identify the four different periods in the Indian Place Value Chart:
Ones – Includes Ones, Tens, Hundreds
Thousands – Includes Thousands, Ten Thousands
Lakhs – Includes Lakhs, Ten Lakhs
Crores – Includes Crores and Ten Crores
- Practicing Indian place values in real-life situations, such as counting large amounts of money, helps in quickly grasping the concept.
- Using the expanded form of place values helps break down a number into simpler terms.
Common Mistakes and How to Avoid Them in Indian Place Value Chart
Grasping the concept of the Indian Place Value Chart helps students to correctly identify and represent large numbers. However, students make mistakes when using this chart. Here are a few common mistakes and tips to avoid them:
Mistake 1
Mistakenly understanding Place Values
Students might identify the place values incorrectly. For example, assuming ten thousand is part of the lakh period.
Follow the place values:
Ones Period: Ones, Tens, Hundreds
Thousands Period: Thousands, Ten Thousands
Lakh Period: Lakhs, Ten Lakhs
Crores Period: Crores, Ten Crores
Mistake 2
Mistakes While Placing Commas
Students often place commas according to the International system instead of following the rules of the Indian place value system.
Make sure the 3:2:2 rule is followed when placing the commas. The first comma should come after three numbers from the right, and the subsequent commas should come after every two digits.
Mistake 3
Writing Large Numbers Improperly
Students might write numbers without spaces or commas, which leads to confusion.
For example: writing 56732516 instead of 5,67,32,516.
Always remember to insert commas accordingly to separate the numbers into periods as per the Indian Place Value System. This may help in reading and understanding large numbers easily.
Mistake 4
Expanding Numbers Incorrectly
Some students often break down incorrectly.
For example:
7,23,450 = 700000 + 23000 + 450 (wrong)
7,23,450 = 700000 + 20000 + 3000 + 400 + 50 (correct).
Mistake 5
Confusion Between Crores and Millions
They may have misconceptions about large numbers like 1 crore = 1 million.
For example: 1 crore = 10 million (10,000,000).
Practice using a place value chart to grasp the place values of large numbers easily.
Solved Examples of Indian Place Value Chart
Problem 1
Convert 65,472,903 (International System) into the Indian Place Value System.
Indian Format: 6,54,72,903
In Words: Six crore fifty-four lakh seventy-two thousand nine hundred three.
Explanation
Step 1: In the Indian Place Value System, commas follow the 3:2:2 rule.
The first comma should be placed after 3 digits.
Then, the next commas should be placed after 2 digits.
Step 2: Using the Indian System:
Let’s rewrite the number correctly:
6,54,72,903
Step 3: Write it in Words
Six crore fifty-four lakh seventy-two thousand nine hundred three.
Problem 2
In the number 9,56,24,832, what is the place value of 8?
The place value of 8 in 9,56,24,832 is 800.
Explanation
The number is divided into periods as follows:
| Crores | Lakhs | Thousands | Ones |
| 9 | 56 | 24 | 832 |
Here, 8 is located in the Hundreds place.
Since 8 is in the Hundreds place, its place value is:
8 × 100 = 800
So, the place value of 8 in 9,56,24,832 is 800.
Problem 3
Write 8,54,12,608 in expanded form.
8,00,00,000 + 54,00,000 + 12,000 + 600 + 8
Explanation
We first identify the place values of the given number:
| Crores | Lakhs | Thousands | Hundreds | Tens | Ones |
| 8 | 54 | 12 | 6 | 0 | 8 |
Now, express each digit in terms of its value:
8 crores = 8,00,00,000
54 lakhs = 54,00,000
12 thousand = 12,000
6 hundred = 600
0 tens = 0 (can be omitted)
8 ones = 8
So, it can be expanded as:
8,00,00,000 + 54,00,000 + 12,000 + 600 + 8
Problem 4
Convert 67,832,409 (International System) into the Indian Place Value System.
67 million = 6 crore 70 lakh → 6,78,32,409
Explanation
Identify the International periods:
67,832,409 → 67 million, 832 thousand, 409
Convert to Indian format:
67 million = 6 crore 70 lakh → 6,78,32,409
Problem 5
Write 2,30,25,398 in words using the Indian Number System.
Two crore thirty lakh twenty-five thousand three hundred ninety-eight.
Explanation
2 → Crore
30 → Lakh
25 → Thousand
3 → Hundreds
9 → Tens
8 → Ones
In words, we write: Two crore thirty lakh twenty-five thousand three hundred ninety-eight.
FAQs on the Indian Place Value Chart
1.What do you mean by the Indian Place Value Chart?
2.How should we place commas in the Indian Place Value Chart?
3.How can we convert a number from the International to the Indian system?
4.What is the significance of the Indian Place Value Chart?
5.Give tips to master the Indian Place Value System effectively.
6.How can children in United Kingdom use numbers in everyday life to understand Indian Place Value Chart?
7.What are some fun ways kids in United Kingdom can practice Indian Place Value Chart with numbers?
8.What role do numbers and Indian Place Value Chart play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Indian Place Value Chart skills?
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
