The repeating decimal 0.0588235294117647 represents the decimal expansion of 1/17. The core question concerns identifying the digit occupying the 300th position after the decimal point in this expansion. Since the decimal repeats, determining the repeating block is essential for finding the desired digit.
Understanding the periodic nature of rational numbers is fundamental in number theory. Decimal expansions of fractions with prime denominators often exhibit repeating patterns. Identifying a specific digit within these repeating patterns allows for efficient computation and can reveal insights into the number’s structure. The historical context involves mathematicians exploring number theory and the properties of rational numbers.
