We examine alternative interpretations of the symbol described as nought, point, nine recurring. Is "an infinite number of 9s" merely a figure of speech? How are such alternative interpretations related to infinite cardinalities? How are they expressed in Lightstone's "semicolon" notation? Is it possible to choose a canonical alternative interpretation? Should unital evaluation of the symbol .999 . . . be inculcated in a pre-limit teaching environment? The problem of the unital evaluation is hereby examined from the pre-R, pre-lim viewpoint of the student.
CITATION STYLE
Katz, K. U., & Katz, M. G. (2010). When is .999... less than 1? The Mathematics Enthusiast, 7(1), 3–30. https://doi.org/10.54870/1551-3440.1381
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