Numbers is the word that plays the main role in every aspect of our lives. We use numbers not only in mathematics to solve problems but, also for comparisons in various ways and measuring quantities, and so on. To solve or to compare any things or objects first we should form the numbers. Forming numbers may be done with or without repetition of given digits.

While forming the numbers if you are confused to know the smallest and greatest numbers then take a look at the Formation of Greatest and Smallest Numbers here. For now, we are going to discuss the **Formation of Numbers with the given digits**. This article will surely help you to clear your confusion in every aspect, so without having any delay let’s move ahead and check what is it and how to form the numbers with given digits.

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## What is meant by the Formation of Numbers with Given Digits?

Numbers Formation is created by increasing the digits number. It is done in various directions where we form the digits in our brains. First and foremost, the kids should clearly know about all types of digits to form the numbers. The numbers are arranged as a group of digits, with or without repetition of digits. Forming numbers can also be done in ascending order or decreasing order.

By using or imagining the number line we arrange the given digits in order. After the formation of numbers, we can also know the highest and lowest values. If we arrange the given numbers in ascending order, then it is the smallest number. For the greatest number, it is vice-versa, because you write the numbers in descending order. Let’s witness some of the formation of numbers with or without the repetition of digits in the below section.

### Forming Numbers with Given Digits

**Formation of Two-Digit Numbers with Given Digits**

(i) With the single digits 5 and 3, the formed numbers are 35 and 53.

(ii) With the single digits 8 and 6, the formed numbers are 68 and 86.

(iii) With the single digits 4 and 7, the formed numbers are 47 and 74.

(iv) With the single digits 0 and 2, the formed numbers are 20, because, by starting with the digit 0 we get 02 and that is not a two digits number, and 0 has no value at the start of the number.

**Formation of Three-Digit Numbers with Given Digits**

(i) With the digits 2, 4, and 5, the formed numbers are

245, 254, 425, 452, 524, 542.

(ii) With the digits 3, 6, and 9, the formed numbers are

369, 396, 639, 693, 936, 963.

(iii) With the digits 7, 0, and 8, the formed numbers are

708, 780, 807, 870. Here, we get only 4 values of three digits.

Some, of the numbers formed by the digits 1, 2, 3, and 4 are as follows:

1234, 1243, 1324, 1342, 1423, 1432

2134, 2143, 2314, 2341, 2413, 2431

3124, 3142, 3421, 3412, 3214, 3241

4123, 4132, 4213, 4231, 4312, 4321.

In a similar way for forming the numbers, when the digits of numbers are increased, the formation of numbers is also increased. Then, it is also easy to know the smallest and the greatest values of those numbers you formed.

### Forming Numbers with Given Digits Examples

**Example 1:**

Find the smallest and greatest four digits number using the digits 6, 2, 7, 1 such that the number thus formed has 7 at its hundreds place and 2 at its one’s place.

**Solution:**

First, we form the smallest and greatest four digits number from the given single digits 6, 2, 7, and 1.

The smallest digit number is 1267, and the greatest digit number is 7621.

But, we have certain rules to form the smallest and greatest numbers from the question. It says, the number in hundreds place should be 7 and the number at one’s place should be 2.

We have to form the smallest number and the greatest number values by applying these rules. So, arrange the remaining numbers in ascending order i.e., 1 and 6, and descending order, i.e., 6 and 1.

The smallest number is 1762.

The greatest number is 6712.

**Example 2:**

Write the formation of three digits numbers from the given digits 4, 6, and 9?

**Solution:**

The given digits are 4, 6, and 9

Now, form the possible three digits formation of those given numbers

469, 496, 649, 694, 946, 964.

### FAQs on Formation of Numbers with the Given Digits of a Number

**1. What is number formation?**

In the formation of numbers with the given digits, we say that the number is arranged as a group of digits. Numbers may be formed in ascending or descending order with or without repetition of digits.

**2. How numbers are formed?**

Numbers are formed by using digits and various mathematical symbols. The number system is the numeral representation. In numbers, there are four types of number systems namely the Decimal number system (Base-10), Binary number system (Base-2), Hexadecimal number system (Base-16), and Octal number system (Base-8).

**3. How many digits we use for the formation of numbers?**

We use ten digits to form numbers in different ways. The ten digits we use to make numerals are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.