A computer is programmed to scan the digits of the counting numbers. For example, if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits altogether. If the computer begins its task and scans the first 1392 digits starting at 1, what is the last counting number scanned?

Question

Mathematics

Georgia Novak

7 December, 12:34

A computer is programmed to scan the digits of the counting numbers. For example, if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits altogether. If the computer begins its task and scans the first 1392 digits starting at 1, what is the last counting number scanned?

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Sandra Mcgee · Answer 1

I believed it is "401"

1-9 = 9 digits

10-99 = 90 which is 180

100-200 = 100 which is 300 digits

9+180 = 189

1392-189 = 1203

1200:300=400 which 1200 digits

401 is the 1392 number scanned