In the formation of numbers, we may see the numbers formed in several ways with a group of digits. We can learn how to form a number with given numbers by using some formations. If kids know how to form numbers, they can easily understand How to write numbers in math calculations. The number formation can be done by arranging numbers in ascending or descending order.

For some students, Numbers Formation is very easy as well as for some it is very difficult. Here, teachers and kids can get their solutions for Formations of 1-digit to n-digit numbers easily. After referring to this Formation of Numbers Guide, children will quickly learn how to form a number correctly. Go through the below modules & get detailed information about this topic.

Do Check: Making the Numbers from Given Digits

## What is meant by the Formation of Numbers?

Numbers are formed by increasing the number of digits. Formation of numbers is done in various paths with or without repetition of digits. It has a group of directions that is placed on the brain. Moreover, the Formation of numbers done by repetition. For forming the numbers, we should aware of numbers correctly.

### How to Form Numbers using Given Digits?

We organize the numbers in an ascending or descending order for the formation of numbers. Mostly, numbers that are formed in ascending order are the smallest digits, and in descending order are the largest digits. In order to form numbers correctly, you should be aware of forming the greatest and smallest numbers.

For example, if you want the smallest number make the digits in ascending order, and for the largest number make the digits in descending order. The correct arrangement of digits is important for children.

Example:

The smallest number using the numbers 2, 5, 6, 8, 3 is 23568.

The largest number using the numbers 5, 7, 1, 4 is 7541.

### Formation of 1-Digit to 6-Digit Numbers

**1-Digit Numbers**

0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Where 0 has no value at the start of the numbers.

**2-Digit Numbers**

10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, …………., 29,

30, 31, ……., 39, 40, 41,……….., 49, 50, 51,………, 60, 61,………., 69, 70, 71, 72, ……….., 79, 80, 81, ………., 89, 90, 91, ……………………, 99

**3-Digit Numbers**

100, 101, …….., 199, 200, 201, ……, 299, 300, ……., 399, 400, ………, 499,

500, ….., 599, 600, ……, 699, 700, …., 799, 800, 801, ……, 890, ……., 899,

900, 901, ………, 990, 991, ……………, 999.

**4-Digit Numbers**

1000, 1001,……,1099, 1100,1101,……,1199, 1200,1201,…………,1299,

1300, ……, 1399, 1400, 1401, …….,1499, 1500, 1501,……., 1599, 1600,

1601, ….., 1699, 1700, 1701, ……, 1799, 1800, 1801,………, 1899, 1900,

1901, ……., 1999, 2000, 2001, ……., 2999, 3000, 3001, …….., 3999, 4000,

4001, ……, 4999, 5000, ……., 5999, 6000, ……, 6999, 7000, 7001, ………,

7999, 8000, 8001, ………., 8999, 9000, 9001, ……..,9999.

**5-Digit Numbers**

10000, 10001, ……………………………………………………………, 19999,

20000, 20001, ………………………………………………………….., 29999,

30000, 30001, ………………………………………………………….., 39999,

40000, 40001, ………………, 49999, 50000, ………………………….., 59999,

60000, 60001, ……………, 69999, 70000, ……………………… ….., 79999,

80000, 80001, ……………., 89999, 90000, …………………………….. 99999

**6-Digit Numbers**

The formation of 6-digit numbers starts with 99999 + 1 = 100000, i.e., hundred thousand.

### Worksheet on Formation of Numbers

Worksheets always help the children to practice no. of times. The Formation of Numbers Activity Sheets will support the children to form the numbers in many ways. Here is the exercise worksheet on one-digit number forming. Take a look at the Number Forming Worksheet and download it for regular practice.

### Examples on Forming Numbers with Given Digits

**Example 1.**

Using the digits 8, 1, 2, 0, and 5, write the smallest number?

**Solution:**

Firstly, to get the smallest number we will arrange the given numbers in ascending order.

Doing so, we have 01258

Therefore, the smallest number formed with the given digits 8, 1, 2, 0, and 5 and 5 is 01258.

**Example 2.**

Form the greatest number and smallest number using the digits 7, 8, 4, 3, 9?

**Solution:**

To form the greatest number we will arrange the given digits in descending order and we have

Greatest Number – 98743

To form the smallest number we will arrange the given digits in ascending order and we have

Smallest Number – 34789

Thus, the greatest and smallest numbers formed using the given digits 7, 8, 4, 3, 9 are 98743, 34789 respectively.

### FAQs on Formation of Numbers

**1. What is the smallest and greatest one-digit number?**

One-digit numbers start from 0 to 9 where the smallest one-digit number is 0 and the greatest one-digit number is 9.

**2. What is the smallest and greatest two-digit number?**

The smallest two-digit number is 10 and the greatest two-digit number is 99.

**3. What is the smallest and greatest three-digit number?**

Three-digit numbers are 100 to 999. Here, the smallest three-digit number is 100 as well as the greatest three-digit number is 999.

**4. How to form the 4-digit smallest number?**

By adding 1 to the three-digit greatest number 999 i.e., 999 + 1, we can form the four-digit smallest number i.e., 1000.