Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let \( m \) be a positive integer not divisible by 2 or 5. Prove that the decimal expansion of the fraction \( 1/m \) is periodic with period equal to the order of 10 modulo \( m \).
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Transcribed Image Text:Let \( m \) be a positive integer not divisible by 2 or 5. Prove that the decimal expansion of the fraction \( 1/m \) is periodic with period equal to the order of 10 modulo \( m \).
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