How many Zeroes - One puzzle a day - Puzzle Buddies

Puzzle: A certain street has 1000 buildings. A sign maker is contracted to number the houses from 1 to 1000. How many zeros will the sign maker need

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Solution:

Divide 1000 building numbers into groups of 100 each as follow: (1..100), (101..200), (201..300),....... (901..1000) For the first group, sign-maker will need 11 zeroes.

For group numbers 2 to 9, he will require 20 zeroes each.

And for group number 10, he will require 21 zeroes.

The total numbers of zeroes required are

= 11 + 8*20 + 21

= 11 + 160 + 21

= 192

Winner: None