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International Numeral System: Definition, Place Value Chart, Rules, Examples

International Numeral System simplifies reading and organizing numbers. Explore the rules for writing and reading numbers using the international numeral system here.

Chandni 1 Aug, 2025

International Numeral System: A long time ago, people didn’t have numbers. They used sticks, pebbles, or marks on rocks to count things like animals or food.

Over time, people invented numbers and created number systems to organize and write them clearly. Different countries developed their own systems, and today, two of the most common ones are the Indian numeral system and the International Numeral System. The Indian numeral system is mainly used in India. It divides numbers into groups called periods, like lakhs and crores. For example, the number 12345678 is written as 1,23,45,678 and read as "One crore, twenty-three lakh, forty-five thousand, six hundred seventy-eight."

Indian Numeral System

International Numeral System, used worldwide, divides numbers differently and uses terms like millions and billions. For example, the same number is written as 12,345,678 and read as "Twelve million, three hundred forty-five thousand, six hundred seventy-eight." In this blog, we’ll explore how the International Numeral System works , compare it to the Indian Numeral System , and see how it helps make numbers easier to read and understand.

What is International Numeral System?

International Numeral System is a globally recognized method for representing large numbers. In this number system, digits are grouped into periods of three, separated by commas, starting from the right. The primary periods are Ones, Thousands, Millions, and Billions. Each digit's place value is determined by its position within these periods. For instance, in 12,345,678, the digit '1' is in the Ten Million place, '2' in the Million place, '3' in the Hundred Thousand place, and so forth. This positional structure allows for a clear understanding of each digit's value. The system also defines specific relationships between place values:

1 hundred = 10 tens (Example: 100 = 10 × 10)
1 thousand = 10 hundreds = 100 tens (Example: 1,000 = 10 × 100)
1 million = 1,000 thousand (Example: 1,000,000 = 1,000 × 1,000)
1 billion = 1,000 millions (Example: 1,000,000,000 = 1,000 × 1,000,000)

These relationships facilitate mathematical calculations and conversions between different magnitudes.

Hyperbola

International Numeral System is widely used in various fields, including science, finance, and daily life, due to its standardized approach to number representation. It contrasts with the Indian Numeral System, which uses different groupings and terms, such as lakhs and crores.

International Numeral System Place Value Chart

International Numeral System Place Value Chart is a tool that helps to clearly understand how digits in a number are grouped into periods and assigned specific values based on their position. Each digit's place in the International Numeral chart determines its place value, which signifies its contribution to the overall number.

How to Use the International Numeral System Place Value Chart?

The steps to use the International Numeral System Place Value Chart are discussed below : Step 1: Start by dividing the number into groups of three digits from right to left. Each group represents a specific period, such as Ones, Thousands, Millions, and so on. Commas are used to separate these groups for clarity. To understand this better, let’s take the number 85,419,723 and break it into groups of three digits from right to left:

The first group from the right is 723, which belongs to the Ones period.
The second group is 419, which belongs to the Thousands period.
The third group is 85, which belongs to the Millions period.

Step 2: Identify Place Values: Within each period, identify the place values for each digit (Ones, Tens, or Hundreds). Each digit contributes to the overall value of the number based on its position in the chart. Example with 85,419,723: In the Millions period:

8 is in the Tens place, representing 80 million.
5 is in the Ones place, representing 5 million.

In the Thousands period:

4 is in the Hundreds place, representing 400 thousand.
1 is in the Tens place, representing 10 thousand.
9 is in the Ones place, representing 9 thousand.

In the Ones period:

7 is in the Hundreds place, representing 700.
2 is in the Tens place, representing 20.
3 is in the Ones place, representing 3.

Step 3: Read the Number: Start from the leftmost period and read the number, stating the period name after each group, except for the Ones period. For example:

The Millions period contains 85, which means "Eighty-five million."
The Thousands period contains 419, which means "Four hundred nineteen thousand."
The Ones period contains 723, which means "Seven hundred twenty-three."

Thus, the number is read as Eighty-five million, four hundred nineteen thousand, seven hundred twenty-three. The number 85,419,723 can be represented in the place value chart as follows:

Ten-Million	Million	Hundred Thousand	Ten Thousand	Thousands	Hundreds	Tens	Ones
8	5	4	1	9	7	2	3

International Number System Rules

The International Number System follows specific rules to ensure clarity and uniformity in writing and reading numbers. Below are the key guidelines of International Number System:

Correct Use of Period Names:

Period names are never written in plural form. For example, 456,876 is written as four hundred fifty-six thousand eight hundred seventy-six, not four hundred fifty-six thousands or hundreds.

Avoiding 'And' Before Tens and Ones:

The word 'and' is not used when reading numbers before the tens or one's place. For example, 3535 is read as three thousand five hundred thirty-five, not three thousand and five hundred thirty-five.

No Commas in Expanded Form:

When writing numbers in expanded form, commas are not included. For instance, 3535 is written as three thousand five hundred thirty-five, not three thousand, five hundred thirty-five. By adhering to these rules, the International Number System ensures consistency and avoids confusion when interpreting numerical values.

Perfect Square

Difference Between the Indian and International Number Systems

The Indian and International Number Systems organize numbers into periods based on their place values, but they differ in grouping and naming conventions.

Grouping of Digits

Indian Number System: Starting from the right, the first period contains 3 digits, while all subsequent periods contain 2 digits. Example: 23,45,678 is grouped as 23 (Lakh), 45 (Thousand), 678 (Ones). International Number System: Starting from the right, all periods contain 3 digits . Example: 2,345,678 is grouped as 2 (Million), 345 (Thousand), 678 (Ones).

Place Value Names

Indian Number System: Place values are named as Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores, Ten Crores, and so on. International Number System: Place values are named as Ones, Tens, Hundreds, Thousands, Ten Thousand, Hundred Thousand, Millions, Ten Million, Hundred Million, and so on.

Units Used

Indian Number System: Uses Lakhs and Crores for large numbers. Example: 1,00,000 is called One Lakh, and 1,00,00,000 is called One Crore. International Number System: Uses Millions and Billions for large numbers. Example : 100,000 is called One Hundred Thousand, and 1,000,000 is called One Million.

Example: 5678912 Let’s compare how the number is represented and read in both systems: International Numeral System: Representation: 5,678,912 Number Name: Five million six hundred seventy-eight thousand nine hundred twelve. Grouping: 5 (Million), 678 (Thousand), 912 (Ones ). Indian Numeral System: Representation: 56,78,912 Number Name: Fifty-six lakh seventy-eight thousand nine hundred twelve. Grouping: 56 (Lakh), 78 (Thousand), 912 (Ones).

International Number System Examples

Example 1: Rewrite the number 29384756 in the international numeral system.

Solution: In the International numeral system, digits are grouped in sets of three, starting from the right.

Group the digits: 29,384,756
Read the number: Twenty-nine million, three hundred eighty-four thousand, seven hundred fifty-six.

Example 2: Find the difference in the place values of the two 4's in the number 40324056. Solution:

In the number 40,324,056, the first 4 is in the ten million place, and its place value is 40,000,000.
The second 4 is in the thousands place, and its place value is 4,000.
Difference: 40,000,000 - 4,000 = 39,996,000.

Example 3: Write all possible two-digit numbers using the digits 3, 5, and 6 when repetition is not allowed. Solution: Out of the given digits, possible pairs are 35, 53, 36, 63, 56, 65 . For example:

Using 3 and 5, numbers are 35 and 53.
Using 3 and 6, numbers are 36 and 63.
Using 5 and 6, numbers are 56 and 65.

Example 4: Write the smallest and largest 4-digit numbers using the digits 4, 6, 7, 1. Solution:

Arrange digits in ascending order to get the smallest number: 1,467.
Arrange digits in descending order to get the largest number: 7,641.

Example 3: Write the Expanded Form and Numeral Form of 874523 in Both Systems Solution: In the International Number System: Divide the number into periods starting from the right:

Ones period: 523
Thousands period: 874

Result: 874,523 Number Name or Expanded Form: E ight hundred seventy-four thousand five hundred twenty-three. In the Indian Number System: Divide the number into periods:

Ones period: 523
Thousands period: 874

Result: 8,74,523 Number Name or Expanded Form : Eight lakh seventy-four thousand five hundred twenty-three.

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International Numeral System FAQs

What is the difference between the periods in the Indian and International Number Systems?

In the Indian system, the first period has three digits, and subsequent periods have two digits. In the International system, all periods have three d

Why are commas used in the International Number System?

Commas are used to separate digits into groups of three, called periods, to make large numbers easier to read and interpret.

Write the number 1,205,000 in expanded form.

1,205,000 in expanded form is 1,000,000 + 200,000 + 5,000.

What is the difference between one million and one billion?

One million: 1,000,000 (6 zeros). One billion: 1,000,000,000 (9 zeros). The difference is 999,000,000.

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International Numeral System: A long time ago, people didn’t have numbers. They used sticks, pebbles, or marks on rocks to count things like animals or food.

Indian Numeral System

What is International Numeral System?

1 hundred = 10 tens (Example: 100 = 10 × 10)
1 thousand = 10 hundreds = 100 tens (Example: 1,000 = 10 × 100)
1 million = 1,000 thousand (Example: 1,000,000 = 1,000 × 1,000)
1 billion = 1,000 millions (Example: 1,000,000,000 = 1,000 × 1,000,000)

These relationships facilitate mathematical calculations and conversions between different magnitudes.

Hyperbola

International Numeral System Place Value Chart

How to Use the International Numeral System Place Value Chart?

The first group from the right is 723, which belongs to the Ones period.
The second group is 419, which belongs to the Thousands period.
The third group is 85, which belongs to the Millions period.

8 is in the Tens place, representing 80 million.
5 is in the Ones place, representing 5 million.

In the Thousands period:

4 is in the Hundreds place, representing 400 thousand.
1 is in the Tens place, representing 10 thousand.
9 is in the Ones place, representing 9 thousand.

In the Ones period:

7 is in the Hundreds place, representing 700.
2 is in the Tens place, representing 20.
3 is in the Ones place, representing 3.

Step 3: Read the Number: Start from the leftmost period and read the number, stating the period name after each group, except for the Ones period. For example:

The Millions period contains 85, which means "Eighty-five million."
The Thousands period contains 419, which means "Four hundred nineteen thousand."
The Ones period contains 723, which means "Seven hundred twenty-three."

Ten-Million	Million	Hundred Thousand	Ten Thousand	Thousands	Hundreds	Tens	Ones
8	5	4	1	9	7	2	3

International Number System Rules

The International Number System follows specific rules to ensure clarity and uniformity in writing and reading numbers. Below are the key guidelines of International Number System:

Correct Use of Period Names:

Period names are never written in plural form. For example, 456,876 is written as four hundred fifty-six thousand eight hundred seventy-six, not four hundred fifty-six thousands or hundreds.

Avoiding 'And' Before Tens and Ones:

The word 'and' is not used when reading numbers before the tens or one's place. For example, 3535 is read as three thousand five hundred thirty-five, not three thousand and five hundred thirty-five.

No Commas in Expanded Form:

Perfect Square

Difference Between the Indian and International Number Systems

The Indian and International Number Systems organize numbers into periods based on their place values, but they differ in grouping and naming conventions.

Grouping of Digits

Place Value Names

Units Used

International Number System Examples

Example 1: Rewrite the number 29384756 in the international numeral system.

Solution: In the International numeral system, digits are grouped in sets of three, starting from the right.

Group the digits: 29,384,756
Read the number: Twenty-nine million, three hundred eighty-four thousand, seven hundred fifty-six.

Example 2: Find the difference in the place values of the two 4's in the number 40324056. Solution:

In the number 40,324,056, the first 4 is in the ten million place, and its place value is 40,000,000.
The second 4 is in the thousands place, and its place value is 4,000.
Difference: 40,000,000 - 4,000 = 39,996,000.

Using 3 and 5, numbers are 35 and 53.
Using 3 and 6, numbers are 36 and 63.
Using 5 and 6, numbers are 56 and 65.

Example 4: Write the smallest and largest 4-digit numbers using the digits 4, 6, 7, 1. Solution:

Arrange digits in ascending order to get the smallest number: 1,467.
Arrange digits in descending order to get the largest number: 7,641.

Example 3: Write the Expanded Form and Numeral Form of 874523 in Both Systems Solution: In the International Number System: Divide the number into periods starting from the right:

Ones period: 523
Thousands period: 874

Result: 874,523 Number Name or Expanded Form: E ight hundred seventy-four thousand five hundred twenty-three. In the Indian Number System: Divide the number into periods:

Ones period: 523
Thousands period: 874

Result: 8,74,523 Number Name or Expanded Form : Eight lakh seventy-four thousand five hundred twenty-three.

Join Online Classes for Kids Now!!

Related Articles
Corresponding Angles	Isosceles Triangle
Average Speed Formula	Differentiation
Ratio	Surface Area of Cylinder

International Numeral System: Definition, Place Value Chart, Rules, Examples

What is International Numeral System?

International Numeral System Place Value Chart

How to Use the International Numeral System Place Value Chart?

PW CuriousJr App

International Number System Rules

Correct Use of Period Names:

Avoiding 'And' Before Tens and Ones:

No Commas in Expanded Form:

Difference Between the Indian and International Number Systems

Grouping of Digits

Place Value Names

Units Used

International Number System Examples

International Numeral System FAQs

What is the difference between the periods in the Indian and International Number Systems?

Why are commas used in the International Number System?

Write the number 1,205,000 in expanded form.

What is the difference between one million and one billion?

International Numeral System FAQs

What is the difference between the periods in the Indian and International Number Systems?

Why are commas used in the International Number System?

Write the number 1,205,000 in expanded form.

What is the difference between one million and one billion?

International Numeral System: Definition, Place Value Chart, Rules, Examples

What is International Numeral System?

International Numeral System Place Value Chart

How to Use the International Numeral System Place Value Chart?

PW CuriousJr App

International Number System Rules

Correct Use of Period Names:

Avoiding 'And' Before Tens and Ones:

No Commas in Expanded Form:

Difference Between the Indian and International Number Systems

Grouping of Digits

Place Value Names

Units Used

International Number System Examples