The pages of a book are numbered consecutively from 1 to 384 . How many times is the digit 8 used in numbering the pages?

Question

The pages of a book are numbered consecutively from 1 to 384. How many times is the digit 8 used in numbering the pages?

Answer 1

1 digit numbers: once=1

 

2 digit numbers: 3 options

8_, _8,88

80-87,88,89=11

18,28,38,48,58,68,78.98=8

 

 

3 digit numbers 

 

_8_: 180-187,189,280-287,380-384=23

__8:108,118,128,...178,198, 208,218,228,...278,298,308,318,..378,=

_88:188,288

=30

 

1+11+8+23+30=73