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Difference Between Smallest 6 Digit Number and Greatest 4 Digit Number for JEE Main 2024

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Last updated date: 21st May 2024
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Introduction to the Smallest 6 Digit Number

Numbers are the most fundamental type of counting used to count everything. It can be used for easy arithmetic issues like counting the number of apples you have, or for more sophisticated math problems like calculating the number of seconds in a year. 


Category:

JEE Main Difference Between

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Topic Name:

Difference Between Smallest 6 Digit Number and Greatest 4 Digit Number

Academic Session:

2024

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Difference Between Topics


The process for arranging numbers in ascending and descending order is known in the generation of greatest and smallest numbers. We already know that the highest number is generated by arranging the provided digits in descending order, and the smallest number is formed by arranging them in ascending order. 


At the end of this article, one will be able to answer what is smallest 6 digit number and greatest 4 digit number, smallest 6 digit number and greatest 4 digit number difference, etc.


Explain Smallest 6 Digit Number and Greatest 4 Digit Number 

In order to identify or form the smallest 6-digit number and greatest 4-digit number one has to first go through this topic. Here at the end we will know how to explain smallest 6 digit number and the greatest 6 digit number. To form the greatest number, let us take an example using the digit 9,3,7,4. The greatest number should have the greatest digit in the thousands place, which is 9, as shown. Then the next greatest digit in the hundreds place is 7.


After that, the next greatest digit in the tens place is 4. In the ones place the smallest digit is 3. So, the greatest 4-digit number from here is 9743. Here, the digits are arranged in descending order. 


Formation of the Smallest 6-digit Number:

Now, coming to the formation of the smallest 6-digit number. Let us take the example of the digit 9,3,7,5,2,8,6. Here we have to arrange the number in ascending order to achieve the smallest 6-digit number.


So, the smallest number should have the smallest digit, so 2 is the smallest number among them. So in the lakh place, there will be 2. Coming to the ten thousand places there will be the digit 3.  After that at the thousand places, the digit will be 5. The next smallest digit in the hundreds place is 6.


At the tens place the digit will be the digit 8 and next will be the digit 9 at the ones place. Here to achieve the smallest 6-digit number, the number is formed in ascending order.


Difference between Smallest 6 Digit Number and Greatest 4 Digit Number    

To know the smallest 6 digit number and greatest 4 digit number difference, we must first write down the smallest 6 digit number and the smallest 4 digit number. 


The smallest six-digit number is 100000, whereas the most significant four-digit number is 9999. As a result, the difference between the lowest six-digit value and the highest four-digit figure is 90001.


The smallest 6-digit number is 1,000,000.

The greatest four-digit number is 9,999.

=1,000,001 - 9,999 = 90,001 is the difference between the two values.


Characteristics of Smallest 6 Digit Number and Greatest 4 Digit Number

Following are the characteristics of the smallest 6 digit number and greatest 4 digit number-


  • The smallest digit is always formed by arranging the digits in an ascending order whereas the greatest digit is formed by arranging the digits in the descending order. 

  • The smallest 6-digit numbers are formed by placing the digits from the lakh place in ascending order.

  • The greatest 4-digit number is formed by placing the greatest digits in the one's place in descending order. 


Conclusion

Counting small numbers is easy. Without the use of a calculator or a pen and paper, we can count the petals of a flower and the fingers on our hands. In such cases, we are dealing with single-digit quantities. One is the smallest single-digit counting number, and nine is the largest.


By adding one unit to the greatest three-digit number, we get the smallest four-digit number.


1+999 = 1000

The smallest four-digit number is 1000, while the largest is 9999.


We must deal with five-digit digits when dealing with numbers as enormous as a state's population or the cost of a motorbike.


The greatest number is obtained by arranging the numbers from greatest to least, which entails writing the numbers in a list with their values in an ordered manner.


We are all aware of the approach of arranging the numbers in ascending or descending order in order to find the greatest number. The largest number is obtained by placing the specified digits in the descending table. This is due to the growing position of the digit at the number's extreme left.

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FAQs on Difference Between Smallest 6 Digit Number and Greatest 4 Digit Number for JEE Main 2024

1. What is the smallest number and the greatest number and what is smallest 6 digit number and greatest 4 digit number  ?

The largest digit is assigned to one's position. The next smaller digit is placed at ten, and so on until all of the supplied digits are completed. The lowest digit is positioned at the top of the number. In contrast, one's position is allocated the smallest digit. The tenth digit is substituted for the next higher digit. The following higher digit is inserted into the hundred spots, and so on. The biggest digit appears at the top of the number.


The most significant four-digit number is 9999, while the smallest six-digit number is 100000.

2. State the difference between smallest 6 digit number and greatest 4 digit number.

Before answering the question, we need to know the least 6 digit number and the greatest 4 digit number. We must also be able to generate the lowest six-digit number and the largest four-digit number. Because subtracting 1 from 100000 yields a 5 digit number, the smallest 6 digit number is 100000. As a result, 100000 is the smallest six-digit number. The greatest four-digit number is 9999, which becomes a five-digit number when we add one to it. As a result, 9999 is the greatest four-digit number.


As a result, we must first determine the smallest 6 digit number and the greatest 4 digit number, and then compute their difference.


The lowest six-digit number is 100000, and the greatest four-digit number is 9999.


The challenge requires us to calculate the difference between the smallest 6 digit number and the greatest 4 digit number. As a result, we can express it as 100000 - 9999 = 90001.


As a result, the gap between the smallest 6 digit number and the greatest 4 digit number is 90001.

3. Write the largest five-digit number using 1,2,5.

The digit might be repeated several times. First sort it in descending order as 5 > 2 > 1. We shall repeat the greatest digit required amount of times since we have to make the greatest 5-digit number utilizing 3 digits. 55521 is the largest five-digit number.

4. Write the smallest six-digit number using 1,2,5.

The digit might be repeated several times. First sort it in ascending order as 1>2>5. We shall repeat the greatest digit required amount of times since we have to make the smallest 6-digit number utilizing 3 digits. 111225 is the smallest six-digit number.

5. Write the largest and smallest five-digit number that can be produced just once with the numbers 4, 3, 0, 2, 7.

Provided 4, 3, 0, 2, 7. Given that the digits will not be repeated.

Arrange this in the following order: 0, 2, 3, 4, 7. If we keep zero in ten thousand locations, we get a four-digit number. So we keep zero in the second position in ascending form. So far, we have 2, 0, 3, 4, and 7.

As a result, the smallest five-digit number is 20,347.

Arrange the following digits in descending order: 7, 4, 3, 2, 0.

As a result, the largest or greatest number is 74,320.

The largest and lowest five-digit numbers that can be created only once with the digits 4, 3, 0, 2, and 7 are 20,347 and 74,320.

As a result, the correct answer is "20,347 and 74,320."