Persevere with Problems Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18, and 24 produce repeating decimals. What causes the difference? Explain.
Persevere with Problems The value of pi (π) is 3.1415926… . The mathematician Archimedes believed that π was between \(3\frac{1}{7}\) and \(3\frac{10}{71}\) . Was Archimedes correct? Explain your reasoning.