A SIMPLE PROOF OF MIDY'S THEOREM
Abdulkareem Hamarsheh1, Waseem Jaradat2, Salaam Tameeme3
1,2,3Department of Mathematics
Al-Hussein Bin Talal University
Ma'an, JORDAN
Abstract. In this note we give a method for finding the elements in the period of a periodic rational number. We then use our method to give an elementary proof of Midy's theorem on repeating decimals.
AMS Subject classification: 97F40, 11A05
Keywords and phrases: Midy's Theorem, repeating decimals


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DOI: 10.12732/ijam.v26i1.5

Volume: 26
Issue: 1
Year: 2013