Q4. The decimal representation of some of the rational numbers may never end such as 1/3= 0.3333333... How is it then possible that rational numbers are not uncountable like real numbers (they also never end!)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 52E
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Q4. The decimal representation of some of the rational numbers may never end such
as 1/3 = 0.3333333... How is it then possible that rational numbers are not
uncountable like real numbers (they also never end!)?
Transcribed Image Text:Q4. The decimal representation of some of the rational numbers may never end such as 1/3 = 0.3333333... How is it then possible that rational numbers are not uncountable like real numbers (they also never end!)?
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