k Show that for every n N>1 there exists a unique k E N and unique...

 

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k Show that for every n N>1 there exists a unique k E N and unique ao,..., ak-1 E {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and ak {1,..., 9} such that n = a 10%. Hint: I encourage you to write out this sum for a few i=0 numbers until you realize that this question is asking you to show something familar. To prove this, think about the remainder when dividing by 10. k Show that for every n N>1 there exists a unique k E N and unique ao,..., ak-1 E {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and ak {1,..., 9} such that n = a 10%. Hint: I encourage you to write out this sum for a few i=0 numbers until you realize that this question is asking you to show something familar. To prove this, think about the remainder when dividing by 10.