x = 0.999... 10x = 9.999... 10x - x = 9 9x = 9 x = 1 x = 1 AND 0.999...?

Question

+5

1127

3

x = 0.999...

10x = 9.999...

10x - x = 9

9x = 9

x = 1

x = 1 AND 0.999...?

Guest Sep 28, 2014

+118629

+5

Best Answer

Another way to look at it is this

$$\frac{1}{3}=0.\dot3\\\\
3\times\frac{1}{3}=3\times 0.\dot3\\\\
1=0.\dot 9$$

Melody Sep 29, 2014

Melody · Answer 1 · 2014-09-29T03:42:02

Another way to look at it is this

$$\frac{1}{3}=0.\dot3\\\\
3\times\frac{1}{3}=3\times 0.\dot3\\\\
1=0.\dot 9$$

Guest · Answer 2 · 2014-09-28T03:03:21

0.999...=x

Guest · Answer 3 · 2014-09-28T03:10:15

Yes, 0,99(9)... IS in fact 1.

You can read more about this at this wikipedia article:

http://en.wikipedia.org/wiki/0.999...