If your calculator has a Frac key or program (see the Program Appendix), test its limitations by entering each of the following numbers and then pressing the Frac key.
(a) .058823529411
(b) .0588235294117
(c) .058823529411724
(d) .0588235294117985
Which of your answers are correct? [Hint: The first part of dividing 1 by 17 involves working this division problem: 1,000,000 ÷ 17. The method of Exercise 24 shows that the quotient is 58,823 and the remainder is 9. Thus the decimal expansion of 1/ 17 begins .058823, and the next block of digits in the expansion will be the quotient in the problem 9,000,000 ÷ 17. The remainder when 9,000,000 is divided by 17 is 13, so the next block of digits in the expansion of 1/ 17 is the quotient in the problem 13,000,000 ÷ 17. Continue in this way until the decimal expansion repeats.]
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