Question

Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished

Answer 1

2,889 digits

Explanation:

Total pages of the book = 999 pages

Page 1 - 9 cut separately = 9 digits

Page 10 - 99 = 90 pages

Total digits = 2(90)

= 180 digits cut separately

Page 100 - 999 = 900 pages

Total digits = 3(900)

= 2,700 digits cut separately

how many separate digits does Kai have when he is finished

Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits

= 2,889 digits

Total separate digits Kai have when he is finished = 2,889 digits