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104 LearnersLast updated on October 16, 2025
Numbers up to 5-Digits
A number with up to 5 digits, where the first digit can be any number from 1 to 9, is known as a 5-digit number. The 5th place value of a number is called ‘Ten Thousand’ in both the Indian and International number systems. We will learn more about numbers up to 5 digits below.
What are 5-Digit Numbers?
Any number that has exactly five digits is known as a 5-digit number. The numbers that range from 10000 to 99999 are the 5-digit numbers. For example, 54321 and 98765 are 5-digit numbers.
How to Write Numbers up to 5-Digits?
The 5-digit number can be written in two different systems: International number system and Indian number system
In both the international and Indian number systems, we generally do not use commas for 5-digit numbers. However, to aid readability, we can place a comma after every 2 digits from the right in the Indian system or after every 3 digits in the international system.
For example, the smallest 5-digit number is written as 10,000 in both systems.
Comparison of the Indian System and the International System
Both the Indian and International number systems represent numbers up to 5 digits similarly, with the place values being the same: Units, Tens, Hundreds, Thousands, and Ten Thousands.
How to Decompose 5-Digit Numbers?
Any 5-digit number has place values that can go up to ten thousand. Here are the place value names from right to left in a 5-digit number.
Digit 1: Ones / Units
Digit 2: Tens
Digit 3: Hundreds
Digit 4: Thousands
Digit 5: Ten Thousands
Let us take an example number: 54321 and break it into its place values.
Digit 1: PV = 1 × 1 = 1
Digit 2: PV = 2 × 10 = 20
Digit 3: PV = 3 × 100 = 300
Digit 4: PV = 4 × 1000 = 4000
Digit 5: PV = 5 × 10000 = 50000
Here, PV stands for Place Value.
Tips and Tricks for Numbers up to 5-Digit
5-digit numbers are relatively simpler to read and write, but understanding place values can make it even easier. These tips will help you work with numbers up to 5 digits without confusion.
- Instead of reading all the digits at once, break them down according to place values.
- Count the digits to know the size of a number. For example, if a given number is 4 digits, it is less than 10,000; if it is 5 digits, the number is 10,000 or more.
- Adding a zero to the number multiplies the number by 10. For example, 5,000 × 10 = 50,000, and now the number becomes a 5-digit number.
Common Mistakes and How to Avoid Them in Numbers up to 5-Digit
Students sometimes make mistakes when learning or writing numbers, even when it is a relatively small number like a 5-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
Misplacing commas in the number system
Students sometimes place commas incorrectly even for 5-digit numbers. Learn the patterns if needed, but remember that for 5-digit numbers, commas are often not used unless needed for clarity.
Mistake 2
Confusing thousands and ten thousands
In a 5-digit number, students sometimes confuse the thousands and ten thousands places. Remember that the fourth digit from the right is in the thousands place and the fifth digit is in the ten thousands place.
Mistake 3
Counting digits incorrectly
Sometimes, students mistake a 4-digit number for a 5-digit number because of not counting properly. Always count the digits without commas before naming the number.
Mistake 4
Ignoring the place value when reading numbers
Reading a number without considering its place value leads to incorrect reading. Break the number according to place values and read each group separately.
Mistake 5
Forgetting that zero changes the value
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.
Solved Examples of Numbers up to 5-Digit
Problem 1
Write the smallest 5-digit number.
10,000
Explanation
The smallest 5-digit number is 10,000, as it is the first number with five digits.
Problem 2
What is the place value of 7 in the number 47,321?
The place value is 7,000
Explanation
In the number 47,321, 7 is in the thousands place, so its place value is 7 × 1,000 = 7,000.
Problem 3
Write 54,321 in the Indian number system.
54,321
Explanation
In the Indian system, for a 5-digit number, the format remains the same as the International system, so it is written as 54,321.
Problem 4
Which is greater: 98,765 or 89,999?
98,765
Explanation
Both numbers are 5 digits long. We compare from the left; 98,765 is greater than 89,999.
Problem 5
How many 5-digit numbers are there in total?
90,000
Explanation
The smallest 5-digit number is 10,000 and the largest is 99,999. We can find the total numbers by: Number of 5-digit numbers = Largest - Smallest + 1 = 99,999 - 10,000 + 1 = 90,000
FAQs on Numbers up to 5-Digit
1.What are the smallest and largest 5-digit numbers?
2.How many 5-digit numbers are there in total?
3.Can a 5-digit number start with 0?
4.What is the place value of the first digit in a 5-digit number?
5.Can 5-digit numbers be negative?
Important Glossary of Numbers up to 5-Digit
- Digit: The single number from 0 to 9 used to form larger numbers.
- Place Value: The value of a digit based on its position in a number.
- Smallest 5-digit number: The lowest number that has exactly 5 digits.
- Largest 5-digit number: The highest number that has exactly 5 digits.
- Ten Thousands: The place value position for the fifth digit from the right in a 5-digit number.
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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.
