Question: 4. (6) Show that for every n E N> 1 there exists a unique k E N and unique do, . .., ak-1 E {0,

4. (6) Show that for every n E N> 1 there exists a unique k E N and unique do, . .., ak-1 E {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} k and ak E {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

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