"When is .999... less than 1?" by Karin Usadi Katz and Mikhail G. Katz
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The Mathematics Enthusiast

Volume

7

Issue

1

Abstract

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.

First Page

3

Last Page

30

Digital Object Identifier (DOI)

10.54870/1551-3440.1381

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