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]Is 1 divided by 19 a repeating decimal?
 Feb 10, 2014
 #1
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John Lothrop:

]Is 1 divided by 19 a repeating decimal?



Yes, it has 18 digits repeating.

140210 1over19.JPG
 Feb 10, 2014
 #2
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all rational numbers that don't have a finite decimal representation are repeating.
 Feb 10, 2014
 #3
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Rom:

all rational numbers that don't have a finite decimal representation are repeating.



VERY GOOD POINT ROM. I actually didn't think of that, thanks.

BUT, how did you know that it didn't have a finite decimal representation.? (How did you know that the numbers didn't come to an end)
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For people who don't speak 'math'

Rom said that if you can write a number as a fraction then it has to be a rational number.
AND
All rational numbers can be written either as a terminating (ending) decimal or as a recurring (repeating) decimal.
 Feb 10, 2014

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