SOLUTION: I wrote the counting numbers joined together: 1234567891011121314151617 . . . Which of the counting numbers was I writing when the 100th zero was written?

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Question 1135924: I wrote the counting numbers joined together:
1234567891011121314151617 . . .
Which of the counting numbers was I writing when the 100th zero was
written?
Answer by greenestamps(13367) About Me  (Show Source):
You can put this solution on YOUR website!


There is no magical formula for finding the answer to a problem like this. You just need to count (carefully!) the number of zeros you use when you write certain numbers, and find when that total reaches 100.

I'll get you started; you can continue the pattern to find the answer to the problem.
    numbers written   # of 0's  total # of 0's to this point
  ------------------------------------------------------------
     10 to 90           9          9

     100                2         11
     101-109            9         20
     110-190            9         29

     200                2         31
     201-209            9         40
     210-290            9         49

     ...
     ...