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Numbers up to 4 Digits
The 4digit number series begins with the number 1,000 and ends with the number 9,999. 4digit numbers are the numbers having 4digits and we can form 4digit numbers by using any digits from 09, but the number should begin with digit 1 or a number greater than 1. Numbers are categorized according to the number of digits that they have and the place value of a number helps in understanding the value of each digit.
1.  What are 4Digit Numbers? 
2.  How to Write Numbers up to 4Digits? 
3.  How to Decompose Numbers up to 4Digits? 
4.  Tips and Tricks on Numbers up to 4Digits 
5.  FAQs on Numbers up to 4Digits 
What are 4Digit Numbers?
4digit numbers are those numbers that consist of only 4 digits in which the first digit should be 1 or greater than 1 and the rest of the digits can be any number between 0 and 9. For example, 5693, 1023, and 9825 are fourdigit numbers.
How to Write Numbers up to 4Digits?
4digit numbers are written or read according to the place values of the digits. In 4 digit numbers, the four digits correspond to the four place values  ones, tens, hundreds, and thousands. When a number is written in standard form, each group of digits is separated by a comma which forms a period. The first period which is known as the 'ones period' is formed with the first three digits of the number, when counted from the right hand side. It should be noted that the placement of commas starts with 4 digit numbers. We put a comma just before the hundreds place because the firstperiod (ones) ends and the second period of thousands begins. For example, 3210 is a 4digit number and after placing the comma, it is written as 3,210.
The smallest 4digit number is 1,000 and the largest 4digit number is 9,999, and there are a total of 9000 numbers from 1000 to 9999. We can make many fourdigit numbers by using digits from 0 to 9 but we need to remember that the thousands place in a 4digit number should not be 0. For example, 0875 is not a fourdigit number, the number is considered as a threedigit number, that is, 875.
4digit numbers can be written in three forms, i.e., in the numeral form, in words, and in the expanded form. For example, 2345 is a 4digit number. In the numeral form, it is written as 2,345. In words, it is written as: Two thousand three hundred fortyfive. In the expanded form it is written as: 2000 + 300 + 40 + 5, or, 2 thousands + 3 hundreds + 4 tens + 5 ones.
How to Decompose Numbers up to 4Digits?
As already discussed above, a 4 digit number has the following place values  Thousands, Hundreds, Tens, and Ones. To decompose 4digit numbers we multiply each digit of the 4digit number with its value, that is, 1000, 100, 10, and 1 respectively. For example, the given 4digit number 5627 can be decomposed as follows:
 5 is at thousands place and its place value is 5 × 1000 = 5000
 6 is at hundreds place and its place value is 6 × 100 = 600
 2 is at tens place and its place value is 2 × 10 = 20
 7 is at ones place and its place value is 7 × 1 = 7
So, the expanded form of 5627 = 5000 + 600 + 20 + 7
Observe the following figure which shows how to write a 4digit number according to its place values. In this case, we have taken the example of a 4digit number: 4,123. Here, 4 is written at the thousands place, 1 is written at the hundreds place, 2 is written at the tens place and 3 is written at ones place.
Tips and Tricks on Numbers up to 4Digits
Given below are some of the tips and tricks on numbers up to 4 digits that can help while solving problems related to these numbers.
 When any onedigit number (from 1 to 9) is multiplied by 1000, the resultant number is a 4digit number. For example, 5 × 1000 = 5,000
 When any twodigit number is multiplied by 100, the resultant number is a 4digit number. For example, 44 × 100 = 4,400
 When any threedigit number is multiplied by 10, the resultant number is a 4digit number. For example, 678 × 10 = 6,780
 When any fourdigit number is multiplied by 1, the resultant number is a 4digit number. For example, 2345 × 1 = 2345
 The smallest fourdigit number, using all different digits, is 1023.
 The smallest fourdigit number, using only one digit is 1,111.
 The smallest fourdigit number, using two different digits is 1,000. (1,000 is the least fourdigit number too).
 The greatest fourdigit number, using only one digit is 9,999 (9,999 is the greatest fourdigit number too).
 The greatest fourdigit number, using two different digits is 9,998.
 The greatest fourdigit number, using all different digits is 9,876.
Important Notes
Given below are some important notes related to numbers up to 4digits that we studied in this article.
 There are 4 numbers (any number from 09) in a 4digit number and the starting number should be 1 or greater than 1.
 The thousands place in a 4digit number cannot be 0.
 The smallest 4digit number is 1000 and the greatest 4digit number is 9999.
 There are 9000 fourdigit numbers in all.
Smallest 4 Digit Number
The smallest 4digit number is 1000 because its predecessor is 999 which is a 3digit number. 4digit numbers start from 1000 and end on 9999.
Greatest 4 Digit Number
The greatest 4digit number is 9999 because its successor is 10000 which is a 5digit number. 4digit numbers start from 1000 and end on 9999.
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Examples on Numbers Up to 4 Digits

Example 1: Write the greatest and the smallest 4digit number using all the digits 1, 2, 3, 4.
Solution: Using the given numbers, the greatest 4digit number is 4,321 and the smallest 4digit number is 1,234.

Example 2: Write the greatest and the smallest 4digit number using all the digits 1, 8, 5 (repetition allowed).
Solution: The greatest 4digit number is 8,851. (Used all the digits and the repeated the digit 8)
The smallest 4digit number is 1,158. (Used all the digits and the repeated the digit 1)

Example 3: The largest 4digit number exactly divisible by 88 is ____.
Solution: The largest 4digit number which is exactly divisible by 88 is 9944 because when we know that the largest 4digit number is 9999 and when we divide 9999 by 88 we get 55 as the remainder. Now, if we subtract 55 from 9999, we get, 9999  55 = 9944.
FAQs on Numbers up to 4Digits
What are 4Digit Numbers?
In simple words, a number with 4digits is a 4 digit number. The first digit of a 4digit number should be 1 or greater than one and the remaining digits can be any number from 0 to 9. Fourdigit numbers start from 1000 and end at 9999. The place values in a 4 digit number, starting from the right, are ones, tens, hundreds, and thousands.
What is the Largest 4digit Number?
9,999 is the largest 4digit number. We can read the number in words as nine thousand nine hundred ninetynine. The number after 9,999 is 10,000 and it is a fivedigit number, therefore, the largest 4digit number is 9,999.
What is the Smallest 4digit Number?
1,000 is the smallest 4digit number. We can read the number in words as one thousand. The number before 1,000 is 999 and it is a threedigit number, therefore, the smallest 4digit number is 1,000.
How many 4digit Numbers are there?
There are 9000, 4digit numbers, and they start from the number 1000 and end on the number 9,999.
How to put a Comma in 4Digit Numbers?
In 4 digit numbers, the 4th digit on the extreme left represents the thousands place. The comma in a 4digit number is placed between the 4th digit and the 3rd digit, from the right, that is, in between the thousands place and the hundreds place. For example, the 4 digit number 3674 is written as 3,674.
What are the Prime Factors of the Greatest 4 Digit Number?
The prime factors of the greatest 4digit number, 9999 are 3, 11, and 101.
Which is the Greatest 4 Digit number which is a Perfect Square?
The greatest 4digit number which is a perfect square is 9801.
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