Admissions 2025-26

Go Cosmo 2024

Numbers up to Five Digit

Introduction
Four-Digit Numbers
Five-Digit Numbers
Forming Numbers with Given Digits
Place Value of Digits in Numbers up to 5-Digits
Writing Number Names
Comparing 5-Digit Numbers
Rounding Off 5-Digit Numbers

The students will learn about the large numbers for class 4. This will include four-digit numbers and five-digit numbers.

The students will learn to

Identify the smallest four-digit number and the largest four-digit number.
Choose the smallest five-digit number and largest five-digit number.
Evaluate the predecessor and successor number of any number.

Each concept is explained to class 4 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the large number worksheet for class 4 and check the solutions to the large number questions for class 4 provided in PDF format.

Four-Digit Numbers:

The numbers having 4-digits are called the 4-digit numbers, provided its starting digit is not 0. For example:
3426, 3570, 1023, 0213
0213 is not a 4-digit number because it starts with 0.
Four-digit numbers begin with 1000, read as ‘one thousand’.
The smallest four-digit number is 1000 (one thousand).
The greatest four-digit number is 9999 (nine thousand nine hundred ninety-nine).
There are 9000 four-digit numbers in all.
For basics , 2-digit numbers are 11,67,54.The greatest 3-digit number is 999. When we add 1 to 999, we get the smallest four-digit number.

Predecessor Number:

Predecessor of a number is the number that precedes or comes before the number. To find the predecessor of a number subtract 1 from it.

Successor Number:

Successor of a number is the number that succeeds or comes after the number. To find the successor of a number, add 1 to it.

Important Notes on 4-Digit Numbers

Let’s look at some quick and useful facts about 4-digit numbers. These will help you understand the topic better and solve related questions with ease!

A 4-digit number always has exactly four digits—not three, not five!
The smallest 4-digit number is 1,000, and the largest is 9,999.
There are a total of 9,000 four-digit numbers.
The first digit in any 4-digit number (the digit in the thousands place) can never be 0. If it starts with 0, it becomes a 3-digit number!

Five-Digit Numbers

The numbers having 5-digits are called the 5-digit numbers, provided its starting digit is not 0.
Here is the 5-digit number example:
31426, 30570, 10023, 03213
03213 is not a 5-digit number because it starts with 0.
Five-digit numbers examples begin with 10000, read as ‘ten thousand’.
The smallest five-digit number is 10000 (ten thousand).
The greatest five-digit number is 99999 (ninety-nine thousand nine hundred ninety-nine).
There are 90000 five-digit numbers in all.
The greatest 4-digit number is 9999. When we add 1 to 9999, we get the smallest five-digit number.

If some digits are given, we can form the greatest and smallest possible numbers by rearranging the given digits.

Without repeating the digits:

To form the greatest possible number, arrange the digits in the descending order.
To form the smallest possible number, arrange the digits in the ascending order. If the given digits have 0, then start with the second smallest digit and use 0 in the second place.

Smallest 4 Digit number Example:

Form the smallest and the greatest possible 4-digits numbers using the digits 5, 7, 2, and 0.

Answer

Step 1: First arrange the digits in the ascending order to get the smallest number.

0, 2, 5, 7

Since there is a 0, start with the second smallest number, that is 2, and place the 0 at the second place.

Therefore, the smallest possible number is 2057.

Step 2: Arrange the digits in the descending order to get the largest possible number.

7, 5, 2, 0

Therefore, the largest possible number is 7520.

With repeating the digits:

To form the greatest possible number, arrange the digits in the descending order and repeat the largest digits as many times as required.
To form the smallest number, arrange the digits in the ascending order and repeat the smallest digits as many times as required. If the given digits have 0, then start with the second smallest digit and use 0 in the second place.

Example:

Frame the smallest and the greatest possible 4-digits numbers using the digits 3, 6, 0.

Answer

Step 1: To get the 4-digit number, one digit has to be repeated. Arrange the digits in the ascending order.

0, 3, 6

The smallest 4 digit number is 0. Therefore, 0 will be repeated.

The possible smallest 4 digit number number is 3006.

Step 2: Arrange the digits in the descending order.

6, 3, 0

The largest digit is 6. Therefore, 6 will be repeated.

The greatest possible number is 6630.

Here’s the written content for the concept "Place Values of Digits in Numbers up to 5-Digits" that matches the image:

Writing Number Names

Writing numbers in words is called number names.

5-digit Number Examples:

15,329 = Fifteen thousand three hundred twenty-nine
92,000 = Ninety-two thousand
78,640 = Seventy-eight thousand six hundred forty

Tip for Students:

Break the number into groups—Thousands and Units—to write the name easily.

Comparing 5-Digit Numbers

When comparing numbers:

Start with the leftmost digit (the biggest place value)
Move right only if digits are equal

5-digit Number Example:

Compare 63,284 and 62,984

Look at the ten thousands digit:

6 = 6 → same
Then thousands:
3 > 2 → So, 63,284 > 62,984

Practice Symbols:

> Greater than
< Less than
= Equal to

Rounding Off 5-Digit Numbers

We round numbers to make them easier to work with.

Rules:

If the digit to the right is 5 or more → Round up
If it's less than 5 → Round down

5-digit Number Example:

Round 48,769 to the nearest thousand

Look at hundreds place = 7 → Round up
Answer: 49,000

Try:

23,182 to nearest thousand = 23,000
66,589 to nearest ten thousand = 70,000

Place Values of Digits in Numbers up to 5-Digits

Understanding place values helps us know the value of each digit in a number. In a 5-digit number, each digit holds a different position and value based on where it is placed.

Let's take the number 47285 as an example. Here's how each digit is placed:

Place Value	Digit	Value
Ten Thousands (10,000s)	4	40,000
Thousands (1,000s)	7	7,000
Hundreds (100s)	2	200
Tens (10s)	8	80
Ones (1s)	5	5

Pictorial View :

Key Points:

Each place is 10 times greater than the one to its right.
The digit itself doesn't change, but its value depends on its position.
This helps in reading, writing, comparing, and expanding numbers.

Expanded Form of 47285:

47285 = 40000 + 7000 + 200 + 80 + 5

Important Notes on 5-Digit Numbers

Here are some key points to remember when you're learning about 5-digit numbers. These will help you solve questions more confidently!

A 5-digit number always has exactly five digits—not less, not more!
The smallest 5-digit number is 10,000, and the largest is 99,999.
There are a total of 90,000 different 5-digit numbers. That’s a lot of numbers!
The first digit in any 5-digit number (the digit in the ten-thousands place) can never be 0. If it were 0, the number would only have 4 digits!

How Many 5-Digit Numbers Can Be Formed?

Let’s break it down simply.

A 5-digit number is any number that has exactly five digits—not four, not six.

The smallest 5-digit number is 10,000
The largest 5-digit number is 99,999

So, how many numbers are there between 10,000 and 99,999?

Example of 5 digit number

Here's the trick:
To find the total, we subtract the smallest from the largest, and don’t forget to add 1 (because we’re counting both ends).

99,999 – 10,000 = 89,999
Now add 1:
89,999 + 1 = 90,000

So, there are 90,000 different 5-digit numbers that can be formed!

That’s a huge number of possibilities—imagine counting all the way from 10,000 to 99,999!

Fun facts:

One hundred is 10 times 10
One thousand is 10 times 100
Ten thousand is 10 times 1000

Did you know?

ATM cards have a unique Personal Identification Number (PIN). Generally, a PIN is a 4-digit code. You can make 10000 different 4-digit codes using the digits 0 to 9.

Word Problems

Example of 5 digit number 1:

Ravi’s father bought a car for ₹82,450 and a bike for ₹15,000.
Q: What is the total amount spent?
A: ₹82,450 + ₹15,000 = ₹97,450

Example of 5 digit number 2:

A town has 25,324 men, 23,456 women, and 10,012 children.
Q: What is the total population?
A: 25,324 + 23,456 + 10,012 = 58,792

FAQs :

1. How many numbers of 5 digits are possible?

50000

The total number of 5 digit numbers = 50000.

2. What are 5 digit numbers called?

Answer and Explanation:

A number in the ten-thousands is a number with five digits. This is because the smallest positive, whole number with 5 digits is 10,000. Here are some other five-digit numbers: 10,001.

3. What is the smallest of the five digit numbers?

10000

But any number cannot be started with a negative digit or 0. And hence, the smallest first digit of a number is 1. As a result, the smallest five digit number will be 10000, where 1 would be in ten-thousandths place followed by 0 to complete a number.