I am a student and I would like to know the easiest way to calculate the
total numbers of digits used by a printer to number the pages of a book from
1 to 250.

THANK YOU,
CYNTHIA

 

Hi Cynthia,

I would count the number of one digit, two digit and three digit numbers you need.

One digit:

1 to 9 for a total of 9 integers.

Two digits:

10 to 99 which is 99 - 9 = 90 integers.

Three digits:

100 to 250 which is 250 - 99 = 151 integers.

This gives a total of 1 9 + 2 90 + 3 151.

Now if you had asked how many distinct digits I would have said 10, they are
0, 1, 2, ···, 9.

Penny