Question

A very large book is numbered to 1 to 11521 How many digits are used to print all these page numbers

Answer 1

Answer:

46,499 digits

Step-by-step explanation:

Total pages of book = 11,521

9 pages numbered 1 - 9 that need 1 digit each = 9 × 1

= 9 digits

90 pages numbered 10 - 99 that need 2 digits each = 90 × 2

= 180 digits

900 pages numbered 100 - 999 that need 3 digits each = 900 × 3

= 2,700 digits

9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4

= 36,000 digits

1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5

= 7,610 digits

Total digits needed = 9 digits + 180 digits + 2,700 digits + 36,000 digits + 7,610 digits

= 46,499 digits