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Last updated on October 16, 2025

Numbers up to 11-Digits

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A number with 11 digits, where the first digit must be any number between 1 and 9, is known as an 11-digit number. The 11th place value of a number is called ‘Ten Arab’ in the Indian number system and ‘Ten Billion’ in the International place value system. We will learn more about the 11-digit number below.

Numbers up to 11-Digits for US Students
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What are 11-Digit Numbers?

Any number that has exactly eleven digits is known as an 11-digit number. The numbers that start from 10,000,000,000 to 99,999,999,999 are the 11-digit numbers.

 

For example, 12345678901 and 98765432198 are 11-digit numbers.

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How to Write Numbers up to 11-Digits?

The 11-digit number can be written in two different systems, they are: International number system and Indian number system In the international number system, we put commas after every 3 digits, starting from the right.

 

For example, the smallest 11-digit number is written as 10,000,000,000. This number is called ten billion because the fourth comma from the right marks the ten billion place.

 

In the Indian number system, we put the first comma after 3 digits from the right, and then after every 2 digits.

 

Example: The smallest 11-digit number is written as 10,00,00,00,000. This number is called one thousand crores, or ten Arab, because the fourth comma from the right indicates the Arab place.

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Comparison of the Indian System and the International System

The charts given below show the difference between the numbers up to 11 digits according to the Indian place value chart and the International place value chart.

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How to Decompose 11-Digit Numbers?

Any 11-digit number has place values that can go up to ten billion in the International system or ten Arab in the Indian system. Here are the place value names from right to left in an 11-digit number.

 

Digit 1: Ones / Units

Digit 2: Tens

Digit 3: Hundreds

Digit 4: Thousands

Digit 5: Ten Thousands

Digit 6: Lakhs

Digit 7: Ten Lakhs / Million

Digit 8: Crores / Ten Million

Digit 9: Ten Crores / Hundred Million

Digit 10: One Arab (Hundred Crores) / Billion

Digit 11: Ten Arab (Thousand Crores) / Ten Billion

 

Let us take an example number: 65432109876 and break it into its place values.

 

Digit 1: PV = 6 × 1 = 6

Digit 2: PV = 7 × 10 = 70

Digit 3: PV = 8 × 100 = 800

Digit 4: PV = 9 × 1000 = 9000

Digit 5: PV = 0 × 10000 = 0

Digit 6: PV = 1 × 100000 = 100000

Digit 7: PV = 2 × 1000000 = 2000000

Digit 8: PV = 3 × 10000000 = 30000000

Digit 9: PV = 4 × 100000000 = 400000000

Digit 10: PV = 5 × 1000000000 = 5000000000

Digit 11: PV = 6 × 10000000000 = 60000000000

 

Here, PV stands for Place Value. Largest 11-Digit Number

 

The biggest 11-digit number is 99,999,999,999. If we add one more number, we will get 100,000,000,000, which has 12 digits.

 

Smallest 11-Digit Number The smallest 11-digit number is 10,000,000,000. If we subtract 1 from this number, we will get 9,999,999,999, which has only 10 digits.

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Tips and Tricks for Numbers up to 11-Digit

11-digit numbers may look huge, but they still follow a simple pattern. By understanding the number systems, place values, and easy tricks, you can read, write, and compare them quickly. These tips will help you work with large numbers without confusion.

 

  • Instead of reading all the digits at once, separate them with commas according to the Indian or International system, which makes them easier to read.

 

  • Remember the key milestones such as 10 billion, 10 Arab, 1 thousand crores, etc. Knowing all these helps in quick conversions between systems.

 

  • Count the digits to know the size of a number. For example, if the given number is 10 digits, it is less than 10 billion; if it is 11 digits, the number is 10 billion or more.

 

  • Adding a zero to the number multiplies the number by 10. For example, 9,000,000,000 × 10 = 90,000,000,000, and now the number becomes an 11-digit number.
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Common Mistakes and How to Avoid Them in Numbers up to 11-Digit

Students sometimes make mistakes when learning or writing numbers, especially when it is a big number like an 11-digit number. A small mistake in reading, writing, or placing commas can completely change the number. Given below are some common errors and how to avoid them.

Mistake 1

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Misplacing commas in the number system

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Students get confused between the Indian and the International number systems and misplace the commas in the number. For example, writing 10,00,00,00,000 in the International system is incorrect; it should be 10,000,000,000. Learn the patterns, as in the International number system, we place commas after every 3 digits, and in the Indian number system, we place commas in a 3-2-2 pattern.

Mistake 2

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Confusing crores and billions

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In the Indian system, large numbers are measured in lakhs and crores, while in the international system they are in millions and billions. Students sometimes say ‘billion’ when they mean ‘crore’ or vice versa. Remember that 1 crore is equal to 10 million and 1 Arab is equal to 1 billion.

Mistake 3

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Counting digits incorrectly

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Sometimes, students mistake a 10-digit number for an 11-digit number because of not counting it properly. Always count the digits without commas before naming the number.

Mistake 4

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Ignoring the place value when reading numbers

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Reading a large number without considering its place value leads to incorrect reading. Break the number according to the number system and read each group separately with its place value.

Mistake 5

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Forgetting that zero changes the value

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Adding extra or leaving out zeros can make a huge difference in value. Double-check the number of zeros, especially when writing in words or converting between systems.

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Solved Examples of Numbers up to 11-Digit

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Problem 1

Write the smallest 11-digit number in the Indian number system.

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10,00,00,00,000

Explanation

In the Indian number system, we place commas after 3 digits from the right, and then every 2 digits. This gives 10,00,00,00,000, which is called as ten Arab or 1 thousand crores.

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Problem 2

What is the place value of 6 in the number 6,789,012,345,678?

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The place value is 60,000,000,000

Explanation

The second digit from the left in an 11-digit number is in the ten billion place according to the international system. Here, 6 is in the ten billion place, so its place value is 6 × 10,000,000,000 = 60,000,000,000.

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Problem 3

Write 1,23,45,67,89,012 in the International number system

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12,345,678,901

Explanation

In the Indian system, commas are placed in the 3-2-2 pattern. To convert that to the International system, we place commas after every 3 digits from the right. Therefore, it becomes 12,345,678,901.

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Problem 4

Which is greater: 87,65,43,21,000 or 90,00,00,00,000?

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90,00,00,00,000

Explanation

Both numbers are 11 digits long. We compare from the left, 9 thousand crores (90 Arab) is greater than 8 thousand crores (87 Arab). So, 90,00,00,00,000 is larger.

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Problem 5

How many 11-digit numbers are there in total?

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90,000,000,000

Explanation

The smallest 11-digit number is 10,000,000,000 and the largest is 99,999,999,999. We can find the total numbers by: Number of 11-digit numbers = Largest - Smallest + 1 = 99,999,999,999 - 10,000,000,000 + 1 = 90,000,000,000

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FAQs on Numbers up to 11-Digit

1.What are the smallest and largest 11-digit numbers?

The smallest 11-digit number is 10,000,000,000, and the largest 11-digit number is 99,999,999,999.

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2.How many 11-digit numbers are there in total?

There are 90,000,000,000 different 11-digit numbers.

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3.Can an 11-digit number start with 0?

No, an 11-digit number cannot start with 0. The numbers starting with 0 have fewer than 11 digits.

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4.What is the place value of the first digit in an 11-digit number?

The first digit has a place value of ten billion in the International system or ten Arab in the Indian system.

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5.Can 11-digit numbers be negative?

Yes, 11-digit numbers can be negative if a minus sign is added, but the digit count is based only on the number itself, not the sign.

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Important Glossary of Numbers up to 11-Digit

  • Digit: The single numeral from 0 to 9 used to form large numbers.

 

  • Place Value: It is the value of a digit based on its position in a number.

 

  • Smallest 11-digit number: The lowest number that has exactly 11 digits.

 

  • Largest 11-digit number: The highest number that has exactly 11 digits.

 

  • Ten Billion: The place value of the first digit in an 11-digit number in the International system.
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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.

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Fun Fact

: She loves to read number jokes and games.

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