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Safety in numbers: Cracking the coefficient code

Decimal expansion of numbers was a common exercise in middle-school mathematics. Fractions like 1/5 and 1/4 were less taxing. Their decimal expansions terminated promptly at 0.2 and 0.25 respectively. But the fraction 1/3 was a little intriguing. Its decimal expansion did not terminate, but it soon became clear that a single digit, namely 3, started to repeat itself. For certain ... Read More »