Numbers up to 5Digits
Numbers up to 5digits are the integers on the number line that start from 10,000 and extend up to 99,999. These numbers contain a total of 5 digits in their numeric form. However, there are a few properties and terms related to these numbers that we need to learn. Let us have a look at the article given here in order to understand these numbers better.
What Are Numbers up to 5Digits?
These are the fivedigit numbers that 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 nonnegative integer can be placed at any position except at ten thousand (zero can't be placed here). The given figure shows how a random 5digit number 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.
The Place Values of Digits in Numbers up to 5Digits
As shown above, is 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, 'Thirty Seven Thousand One Hundred and FiftyNine'. We see that 5digit numbers show the value of the range 10,000. Have a look at the figure given below to make the concept clear:
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 Thousand. 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. 0 is in Thousands place = 0 × 1000 = 0. 3 is in Hundreds place = 3 × 100 = 300. 4 is in Tens place = 4 × 10 = 40. 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:
 2 would now have the place value of 2 × 1000 = 2000 (the earlier place value of 2 was 20000)
 3 would now have the place value of 3 × 10000 = 30000 (the earlier place value of 3 was 300)
 4 would have the place value of 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 was to the left of the hundreds place. In a 5digit number too, only one comma is to be used, and it is to be applied 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 5digits. These are helpful while we solve questions related to this topic.
 As the name says, a 5digit number compulsorily has 5digits in it.
 The smallest 5digit number is 10,000 and the greatest 5digit number is 99,999.
 There are 90,000 fivedigit numbers in all.
 The digit at the ten thousand place in a 5digit number can never be 0.
Solved Examples

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.
FAQs on Numbers up to 5Digits
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.
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