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Basic Math/Extra Credit Problem

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Question
I need an answer to this problem:

What is the digit in the tens place of this sum?
7+77+777+7,777+.......+7,777,777,777,777,777

Thank you!

Answer
6


7,777,777,777,777,777
 777,777,777,777,777
  77,777,777,777,777
   7,777,777,777,777
     777,777,777,777
      77,777,777,777
       7,777,777,777
         777,777,777
          77,777,777
           7,777,777
             777,777
              77,777
               7,777
                 777
                  77
                   7

Simple enough to add them up, the ones digit is 2 (7x16 = 112), carry the 11 and the tens digit is 7X15+11 = 116

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Lynn Houston

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Love math, currently helping my nephew get through Intermediate Algebra.

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I majored in Math Ed in college (but decided not to teach), so have over 40 credits of math.

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