Question

What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?

Thanks :)

Answer 1

5789

Explanation:

There are 9 numbers with 1 digit (1-9).

There are 90 numbers with 2 digits (10-99).

There are 900 numbers with 3 digits (100-999).

There are 725 numbers with 4 digits (1000-1724).

So the total number of digits is:

(9)(1) + (90)(2) + (900)(3) + (725)(4) = 5789