Prove by contradiction: A positive integer is divisible by 10 if and only if its last

Chapter 20, Problem 20.12

(choose chapter or problem)

Prove by contradiction: A positive integer is divisible by 10 if and only if its last (ones) digit (when written in base ten) is a zero. You may assume that every positive integer N can be expressed as follows: N D dk10k C dk110k1 C C d110 C d0 where the numbers d0 through dk are in the set f0; 1; : : : ; 9g and dk 6D 0. In this notation, d0 is the ones digit of Ns base ten representation

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