0.999.../Proof from 0.333...

Assumptions

Using long division,

{\frac {1}{3}}=0.333...

Multiplying both sides by 3, we have

{\frac {3}{3}}=0.999...

and therefore...

1=0.999...

This article is issued from Wikibooks. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.