Numbers up to 5-digits 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.
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|1.||What Are Numbers up to 5-Digits?|
|2.||The Place Values of Digits in Numbers up to 5-Digits|
|3.||How to Decompose 5-Digit Numbers?|
|4.||Commas in 5-Digit Numbers|
|5.||How Many 5-Digit Numbers Can Be Formed?|
|6.||FAQs onNumbers up to 5-Digits|
These are the five-digit numbers that start from ten thousand and extend up to ninety-nine thousand nine hundred and ninety-nine. These numbers contain integers at the places of ones, tens, hundreds, thousands, and ten thousands. Any non-negative integer can be placed at any position except atten thousand (zero can't be placed here). The given figure shows how a random 5-digit number is placed on an abacus.The place value of the five digits that make up the 5-digit 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.
As shown above, is a 5-digit 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 Fifty-Nine'. We see that 5-digit numbers show the value of the range 10,000. Have a look at the figure given below to make the concept clear:
When we see a 5-digit number, the five digits will correspond to the 5place values -Units, Tens, Hundreds, Thousands, and Ten Thousand.Let us see how a 5-digit 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 five-digit 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 5-digit number having the same numbers with interchanged digits, like, 32,004.The change in place value of the same5digits shows the following results:2 would now have the place value of2 × 1000 = 2000 (the earlier place value of2was20000)3 would now have the place value of3 × 10000 = 30000 (the earlier place value of3was300)4 would have the place value of4 × 1 = 4 (the earlier place value was40)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.
We saw the use of commas in four-digit numbers, and the position of the comma was to the left of the hundreds place. In a5-digit number too, only one comma is to be used, and it is to be applied to the left of the hundreds place. For example, the5-digit numbers 32958and 20340can be better expressed as 32,958and 20,340which helps in reading the numbers correctly.
As we said earlier, 02340is not a five-digit number but a four-digit number 2340. A five-digit 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 5-digit 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 5-digit 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 5-digit numbers that have zero as the first digit are 10 × 10 × 10 × 10 = 10,000.If we subtract these 10,000ways from the overall 1,00,000ways, we are left with 90,000. Therefore,there are 90,000unique 5-digit numbers possible.
Important Notes onNumbers up to 5-Digits
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.
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