To find out how many digits are used to print the page numbers from 1 to 179, we can break it down into segments based on the number of digits in the page numbers.
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Pages 1 to 9:
- There are 9 pages.
- Each page number has 1 digit.
- Total digits used = \(9 \times 1 = 9\).
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Pages 10 to 99:
- There are \(99 - 10 + 1 = 90\) pages.
- Each page number has 2 digits.
- Total digits used = \(90 \times 2 = 180\).
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Pages 100 to 179:
- There are \(179 - 100 + 1 = 80\) pages.
- Each page number has 3 digits.
- Total digits used = \(80 \times 3 = 240\).
Now, we can sum all of these:
\[ 9 \text{ (for pages 1 to 9)} + 180 \text{ (for pages 10 to 99)} + 240 \text{ (for pages 100 to 179)} = 429 \]
Thus, the total number of digits used to print the page numbers from 1 to 179 is 429.