Question

What is the total number of digits required in numbering the pages of a book, which has 1,200 pages?

Answer 1

Answer:

$\large\boxed{3,693}$

Step-by-step explanation:

Break up the problem into smaller parts:

The total number of digits will be equal to the digits * the amount of numbers.

1 ⇒ 9       Digits each:  1        Amount of #s: 9      Total digits: 1(9) = 9

10 ⇒ 99   Digits each: 2       Amount of #s: 90      Total digits: 2(90) = 180

100 ⇒ 999  Digits each: 3    Amount of #s: 900    Total digits: 3(900) = 2,700

1000 ⇒ 1200  Digits each: 4    Amount of #s: 201   Total digits: 4(201) = 804

Add together all of the parts

9 + 180 + 2,700 + 804

$\large\boxed{3,693}$

Hope this helps :)