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Numbers up to 5Digits
5 digit numbers are the integers on the number line that start from 10,000 and go up to 99,999. These numbers contain a total of 5 digits in their numeric form. Let us learn more about numbers up to 5 digits in this page.
What are Numbers up to 5Digits?
Fivedigit numbers start from ten thousand and extend up to ninetynine thousand nine hundred and ninetynine. These numbers contain integers at the places of ones, tens, hundreds, thousands, and ten thousands. Any positive integer can be placed at these places, keeping in mind that 0 cannot be placed on the ten thousands place. This is because if 0 is placed here it will become a 4digit number, like, 04356 becomes 4356. The following figure shows how a random 5digit number, 86953 is placed on an abacus. The place value of the five digits that make up the 5digit number would be obtained by progressively multiplying the respective figure by 1, 10, 100, 1,000, and 10,000 starting from the rightmost digit and moving to the left.
Smallest 5 Digit Number
The smallest 5digit number is 10,000 because 5digit numbers start from 10,000 and the number before 10,000 is 9999 which is a 4digit number.
Greatest 5 Digit Number
The greatest 5digit number is 99,999 because the number after 99,999 is 1,00,000 which becomes a 6digit number.
Place Values of Digits in Numbers up to 5Digits
As shown above, in a 5digit number, every progressive place value is the earlier place value multiplied by 10. For example, let us take a number: 37,159. This number can be represented in words, as, 'thirtyseven thousand one hundred and fiftynine'. The following figure shows the place values of this 5digit number.
How to Decompose 5Digit Numbers?
When we see a 5digit number, the five digits will correspond to the 5 place values  Units, Tens, Hundreds, Thousands and Ten Thousands. Let us see how a 5digit number can be decomposed into its place values. Let us continue with the same number 20340. 2 is in Ten Thousands place = 2 × 10000 = 20000. Here, 0 is in Thousands place = 0 × 1000 = 0, and 3 is in Hundreds place = 3 × 100 = 300, 4 is in Tens place = 4 × 10 = 40, and 0 is in Units place = 0 × 1 = 0. Hence, the fivedigit number can be expressed in the following way: 20000 + 0 + 300 + 40 + 0 = 20340.
Now, how would the 5 place values change if we interchanged some of the digits? Let us change the number 20,340 to another 5digit number having the same numbers with interchanged digits, like, 32,004. The change in place value of the same 5 digits shows the following results:
 The place value of 2 becomes 2 × 1000 = 2000 (the earlier place value of 2 was 20000)
 The place value of 3 becomes 3 × 10000 = 30000 (the earlier place value of 3 was 300)
 The place value of 4 becomes 4 × 1 = 4 (the earlier place value was 40)
 Zero is the only digit from 0 to 9 whose place value stays the same (zero) irrespective of its position.
In both the numbers given above, all the zero digits have zero place value.
Commas in 5Digit Numbers
We saw the use of commas in fourdigit numbers, and the position of the comma is just before the digit on the hundreds place, that is, to the left of the hundreds place. In a 5digit number too, only one comma is to be used, and it is to be placed to the left of the hundreds place. For example, the 5digit numbers 32958 and 20340 can be better expressed as 32,958 and 20,340 which helps in reading the numbers correctly.
How Many 5Digit Numbers Can Be Formed?
As we said earlier, 02340 is not a fivedigit number but a fourdigit number 2340. A fivedigit number cannot have 0 as the first digit on the left, which is the ten thousand place. Overall, every one of the 5 places of a 5digit number can be filled up in ten ways, because it can have 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So each of the five places can be similarly filled up in ten ways. Therefore, the total number of combinations possible are 10 × 10 × 10 × 10 × 10 = 1,00,000.
Out of these 1,00,000 ways of forming a 5digit number, we need to take out all the possibilities which have zero in the first position on the left (or the ten thousand place). When there is zero in the first place, the next position (Thousands) can be filled up in ten ways, as can the Hundreds, Tens, and Units places. So, the number of 5digit numbers that have zero as the first digit are 10 × 10 × 10 × 10 = 10,000. If we subtract these 10,000 ways from the overall 1,00,000 ways, we are left with 90,000. Therefore, there are 90,000 unique 5digit numbers possible.
Important Notes on Numbers up to 5Digits
Here is a list of some important notes related to numbers up to 5 digits. These are helpful while we solve questions related to this topic.
 As the name says, a 5digit number compulsorily has 5 digits in it.
 The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999.
 There are 90,000 fivedigit numbers in all.
 The digit at the ten thousands place in a 5digit number can never be 0.
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Examples on 5 Digit Numbers

Example 1: Find the sum and difference of the greatest 5digit number and the smallest 5digit number.
Solution:
The greatest 5digit number is 99,999. The smallest 5digit number is 10,000. Their sum is 99,999 + 10,000 = 1,09,999. Their difference is 99,999 − 10,000 = 89,999.
∴ Sum = 1,09,999 and Difference = 89,999.

Example 2: Write the number name and the expanded form of 68,075.
Solution:
We see that the number 6 is in the Ten Thousand place, 8 is in the Thousands place, 0 is at the Hundreds place, 7 in the Tens place, and 5 in Ones place. The number name is Sixtyeight thousand seventyfive.
The expanded form of the number is (6 × 10,000) + (8 × 1,000) + (0 × 100) + (7 × 10) + (5 × 1). This can also be written as: 60,000 + 8,000 + 0 + 70 + 5 = 68,075.

Example 3: Place the commas correctly in the following 5digit numbers.
a.) 67543
b.) 98124
Solution: The commas are placed just before the digit on the hundreds place. This means we will place the commas as follows:
a.) 67,543
b.) 98,124
FAQs on Numbers up to 5Digits
What are 5Digit Numbers?
A 5digit number is a number that has 5 digits, in which the first digit should be 1 or greater than 1 and the rest of the digits can be any number between 09. It starts from ten thousand (10,000) and goes up to ninetynine thousand, nine hundred and ninetynine (99,999).
How Many 5Digit Numbers are there?
There are 90,000 fivedigit numbers including the smallest fivedigit number which is 10,000 and the largest fivedigit number which is 99,999.
How do you Read a 5Digit Number?
We read a 5 digit number from left to write, starting from the ten thousands place to the units place. For example, the number 21,356 is read from left to right, starting from 2, followed by 1, 3, 5, and then 6. In number names, it is read as twentyone thousand, three hundred fiftysix.
How do you Write 5Digit Numbers in Words?
We write the number name of a fivedigit number just the way we read it. Starting from left to right, from the ten thousands place to the units place. For example, the number 31,279 is written as thirtyone thousand, two hundred seventynine.
What is the Smallest 5Digit Number?
The smallest fivedigit number is 10,000. It is read as ten thousand in number names.
What is the Largest 5Digit Number?
The largest fivedigit number is 99,999 and it is written as ninetynine thousand, nine hundred ninetynine, in words.
What is the Sum of the Greatest and the Smallest 5Digit Numbers?
The greatest 5digit number is 99,999 and the smallest 5digit number is 10,000. Their sum is 99,999 + 10,000=1,09,999.
Which is the Greatest 5 digit number which is a Perfect Square?
The greatest 5 digit number which is a perfect square is 99856. This is the square of 316 which means 316^{2} = 99856.
What is the Successor of the Greatest 5 Digit Number?
The greatest 5 digit number is 99,999. The successor of 99,999 is 1,00,000 which is read as one lakh as per the Indian place value chart and is read as a hundred thousand (100,000) as per in International place value chart.
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