Question

If a book has 252 pages, how many digits used to number the pages ?

Answer 1

Answer:645 digit

Step-by-step explanation:

Answer 2

The digits used to number the pages is 648.

Given:

A book has 252 pages.

To Find:

The digits that have been used to number the pages.

Solution:

Firstly, we have to calculate the total digits that have been used in writings numbers from 1 to 252.

Now, the single-digit numbers $=9(1to9)$

here, the digits that have been used in single-digit numbers $=1\times 9$

                                                                                                     $=9$

now, the two-digit numbers $=90(10to99)$

so, the digits that have been used in two-digit numbers $=2\times90$

                                                                                         $=180$

now, the three-digit numbers $=153(100to153)$

so, the digits that have been used in three-digit numbers $=3\times 153$

                                                                                               $=459$

here, the total digits that have been used $=9+180+459$

                                                                      $=648$

Thus, the digits used to number the pages is 648.