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Overall, there are 99900 numbers between 100 and 100000, not including 100 itself.

One out of every ten of them ends with a nine, which leaves us with 9990 numbers.

It is easier to understand this for small numbers - say we look for the corresponding number between 10 and 100. We have overall 90 numbers, 9 of them end with the digit 9: 19,29,39,49,59,69,79,89,99.

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16y ago

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