Answer: 9170
Explanation:
To find out how many times the digit 3 is printed in the page numbers from 1 to 11521, we can analyze each position separately.
Thousands place: The digit 3 can appear in the thousands place from 1000 to 9999. There are 9000 numbers in this range that can have a 3 in the thousands place.
Hundreds place: The digit 3 can appear in the hundreds place from 1300 to 1399 (a total of 100 numbers).
Tens place: The digit 3 can appear in the tens place from 1030 to 1039 (10 numbers), 1130 to 1139 (10 numbers), and so on until 11390 to 11399 (10 numbers). There are 10 such ranges, each with 10 numbers.
Ones place: The digit 3 can appear in the ones place from 1003 to 1009 (7 numbers), 1013 to 1019 (7 numbers), and so on until 11513 to 11519 (7 numbers). There are 10 such ranges, each with 7 numbers.
Now, let's add up the counts from each place:
Thousands place: 9000 numbers
Hundreds place: 100 numbers
Tens place: 10 ranges * 10 numbers = 100 numbers
Ones place: 10 ranges * 7 numbers = 70 numbers
Total count of the digit 3 printed in the page numbers from 1 to 11521:
9000 + 100 + 100 + 70 = 9170
So, the digit 3 is printed 9170 times in the page numbers from 1 to 11521