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An Arithmetic Method for Converting Repeating Decimals to Fractions

Laurence Sherzer

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Abstract

Students can easily use calculators to convert fra ctions to decimal numbers. But students who have studied the algebraic method of changing a repeating decimal to a fraction often find the method tedious and tend to avoid it. This difficulty raises questions about students' under standing of the nature of repeating decimal numbers. Do they know that all repeating decima ls are shown as a pproximations on the ca lculator display?

About this research paper

What this paper is about

Students can easily use calculators to convert fra ctions to decimal numbers. But students who have studied the algebraic method of changing a repeating decimal to a fraction often find the method tedious and tend to avoid it. This difficulty raises questions about students' under standing of the nature of repeating decimal numbers. Do they know that all repeating decima ls are shown as a pproximations on the ca lculator display?

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Students can easily use calculators to convert fra ctions to decimal numbers. But students who have studied the algebraic method of changing a repeating decimal to a fraction often find the method tedious and tend to avoid it. This difficulty raises questions about students' under standing of the nature of repeating decimal numbers. Do they know that all repeating decima ls are shown as a pproximations on the ca lculator display?

Key concepts: Decimal, Arithmetic, Fraction (chemistry), Algebraic number, Mathematics, Computer science, Algebra over a field, Pure mathematics

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