Using the addition and multiplication operation, the total number of digits required in numbering a book with 1150 pages is 3493 digits.
Seperating the number of digits by pages :
Single digits : (1 - 9) = 9 pages
Double digits : (10 - 99) = 90 pages
Triple digits : (100 - 999) = 900 pages
Four digits : (1000 - 1150) = 151 pages
Total Number of digit numbers :
- 1 digit = (1 × 9) = 9 digits
- 2 digits = (2 × 90) = 180 digits
- 3 digits = (3 × 900) = 2700 digits
- 4 digits = (4 × 151) = 604 digits
The total number of digits = (9 + 180 + 2700 + 604) = 3493 digits.
Therefore, the total number of digits required is 3493 digits.
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