Question

infinite periodic number:
we know that all infinite periodic numbers are rational;does any one know how to write 0.999...
as a fraction?
thx

Answer 1

ok let x be 0.999

Answer 2

what will be the result if we multiply both side with10?

Answer 3

this doesn't help ,you'll get 9x=9 so x=1

Answer 4

ok let find out with series

Answer 5

@ghass1978 \(0.\dot{9} = 1\)

Answer 6

\[0.999999\cdots = 1\]I saw a good explanation for this.

Answer 7

We know that,\[x - x = 0\]And,\[1 - 0.99999999\cdots = 0.000000000\cdots = 0\]

Answer 8

ok,then i'll use it like this in class :)
thx

Answer 9

You're welcome :)

Answer 10

ops,can't give 2 medals:)

Answer 11

lol no worries ;)