The Arithmetic of Infinite Decimals

A. Gardiner
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A. Gardiner: University of Birmingham, Department of Mathematics

Chapter Chapter II.11 in Infinite Processes, 1982, pp 123-133 from Springer

Abstract: Abstract To end our protracted encounter with infinite decimals we should at least answer the question which started it all off: Given that the familiar arithmetical procedures for addition, subtraction, multiplication and division simply do not work for infinite decimals, how can we possibly calculate $$ \alpha + \beta ,\alpha - \beta ,\alpha \cdot \beta ,\frac{\alpha }{\beta } $$ where ∝ and β are real numbers given in the form of infinite decimals?

Keywords: Real Number; Difference Sequence; Decimal Place; Product Sequence; Decimal Digit (search for similar items in EconPapers)
Date: 1982
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DOI: 10.1007/978-1-4612-5654-0_13

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