Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and

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Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and only if

Observe that r has a finite decimal expansion when 10^Nr is an integer for some N ≥ 0 (and hence b divides 10^N).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Oct 24, 2023 02:50 AM

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Show that a fraction r = a/b in lowest terms has a finite decimal expansion if and

Question:

b= 25m for some n,m ≥ 0

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Suppose r has a finite decimal expansion Then there exists an ...View the full answer

Calculus

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