Counting nines to 1000

How many times does the digit $9$ appear when writing out all the integers from $1$ to $1000$ ? (For instance, $919$ contributes two $9$ s.)

Show hints (2)+

Pad to $3$ digits ( $000$ – $999$ ): each digit appears $100$ times in each of the $3$ positions.
So $9$ appears $3\times100$ ; $1000$ adds none.

Answer

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300

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