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# Carlin wrote a 447 page book on the history of mathematics. She numbered the pages by hand beginning with page 1. How many total digits did she write when numbering the pages?

Updated: 9/27/2022

Wiki User

14y ago

Answer1 x 9 (number of 1 digit numbers) plus 2 x 89 (number of 2 digit numbers) plus 3(number of 3 digit numbers) x 347 = 1228

The correct answer is 1323. Here is how you do it.

1 digit numbers = 9

2 digit numbers = 90 (99-9) number of 2 digit numbers - number of 1 digit numbers

3 digit numbers = 378 (477-99) number of 3 digit numbers - number of 1 & 2 digit numbers

So, the solution is:

1x9 = 9

2x90 = 180

3x378 = 1134

9+180+378 = 1323

Wiki User

14y ago

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Q: Carlin wrote a 447 page book on the history of mathematics. She numbered the pages by hand beginning with page 1. How many total digits did she write when numbering the pages?
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