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Is 0.9999 (recurring) the same as 1? Or is it infinitesimally smaller?

 Jun 8, 2016
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Let x = 0.9999.....  etc.

 

10x = 9.9999.....

 

10x - x = 9.9999..... - 0.9999.....

 

9x = 9

 

x = 1

 

0.9999.....  is exactly equal to 1

.

 Jun 8, 2016

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