SOLUTION: Infinite geometric series. The question asks me to write the repeating decimal .999... as a fraction. I think it is 9/9.00 infinetly and then a 1 but I have no idea how yo writ

Algebra ->  Sequences-and-series -> SOLUTION: Infinite geometric series. The question asks me to write the repeating decimal .999... as a fraction. I think it is 9/9.00 infinetly and then a 1 but I have no idea how yo writ      Log On


   

Question 143430This question is from textbook Algebra 2 McDougal Littell
: Infinite geometric series.
The question asks me to write the repeating decimal .999... as a fraction.
I think it is 9/9.00 infinetly and then a 1 but I have no idea how yo write that.
Thanks for the help This question is from textbook Algebra 2 McDougal Littell

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the repeating decimal .999... as a fraction
Let x = 0.999999999
Then 10x = 9.999999999
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Subtract the 1st equation from the second to get:
9x = 9
x = 1 or 1/1
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From this you can see that 0.999999999... = 1
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Cheers,
Stan H.