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Recurring Nines

In: Infinite Processes

Author

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  • A. Gardiner

    (University of Birmingham, Department of Mathematics)

Abstract

We learn to compare ordinary finite decimals more or less by eye: thus .09 and .1 not only look different, they really are different—.09 being less than .1, since 9/100 ( = .09) is less than 10/100 ( = .1). But we have gone out of our way to stress the fact that, unlike ordinary finite decimals, infinite decimals do not correspond to decimal fractions; instead they have to be interpreted in a completely new way as endless sums. We therefore have to resist any temptation to assume that procedures which work with finite decimals will automatically carry over to infinite decimals.

Suggested Citation

  • A. Gardiner, 1982. "Recurring Nines," Springer Books, in: Infinite Processes, chapter 0, pages 96-99, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-5654-0_10
    DOI: 10.1007/978-1-4612-5654-0_10
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