150 times ...
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300 times.
Seven of them.
It is used 300 times.
To find how many times the digit 3 occurs in the hundreds place for numbers between 100 and 10,000, we consider all three-digit and four-digit numbers. The hundreds place can be 3 in the range from 300 to 399, which gives us 100 occurrences (300 to 399 inclusive). For four-digit numbers, the hundreds place can also be 3, covering the range from 3,000 to 3,999, which again totals 1,000 occurrences. Therefore, the digit 3 occurs 1,100 times in the hundreds place from 100 to 10,000.
49 zeros [leading zeros are not used like 001, 002, etc.] This does not include the two zeros in 300 (since the question stated between). So if 300 is included, then 51 zero digits.