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express 0.99999..... in the form of p/q
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Most Upvoted Answer
express 0.99999..... in the form of p/q Related: Introduction to Numb...
Solution: Let x = 0.9999…
There is only one repeating digit so multiply by 10 we get
10x = 9.9999..
x = 0.9999..
subtract x now we get
9x = 9
Divide by 9 we get
x = 9/9 = 1
It justify the answer because approximated value of 0.99999.... is 1
Community Answer
express 0.99999..... in the form of p/q Related: Introduction to Numb...
Let x=0.999... (1 equation)
Now, multiply 10 in both sides..
10(x) =10 (0.9)
10x = 9.999... (2 equation)
Now, subtract (2 equation) and (1equation),
10x = 9.999...
-- x =0.999...
=>9x = 9
x = 9/9
=1..
That's it...
Hope it will help you..
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express 0.99999..... in the form of p/q Related: Introduction to Number System?
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