A certain street has 1000 buildings. A sign-maker is contracted to number the houses from 1 to 1000. How many zeroes will he need?

2 Answers on this Question

1. 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

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2. 192 Zeroes

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