Carlin wrote a 447 page book on the history of mathmatics. 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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Answer:
Answer 1 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
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