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Each page number of a 488-page book is printed one time in the book. The first page is page 1 and the last page is page 488. When printing all of the page numbers, how many more 4’s are printed than 8’s?

 May 22, 2020
 #1
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hi guest!

i think the problem was already answered here: https://web2.0calc.com/questions/help_7094

:)

 May 22, 2020
 #2
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Notice, they the appear the same number of times in each group of 100 from 0 - 399

 

4 14 24 34 40 41 42 43 44 45 46 47 48 49 54 64 74 84 94

8 18 28 38 48 58 68 78 80 81 82 83 84 85 86 87 88 89 98

 

They each appear 20 times in each group of 100

 

But starting at page 400 to page 488, the 4's appear

 

89 + 19 times   = 108 times

 

But the 8's only  appear 18 times  from pages 400 - 488

 

So the 4's appear   108  - 18    = 100 more times

 May 22, 2020
 #3
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Beween 1 and 488 inclusive, the number 4 appears =188 times

 

Between 1 and 488 inclusive, the number 8 appears =98 times

 

188  -  98 =90 more "4's" appear than "8's"

 May 22, 2020
edited by Guest  May 22, 2020

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