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CBSE Class 9 Answered

Express 0.999......in the form of p/q.why the answer makes sense .
 
Asked by ABHILASHA | 14 Apr, 2017, 08:09: PM
answered-by-expert Expert Answer
begin mathsize 14px style Let space straight x equals 0.99999..... space space space space space space space space space space space left parenthesis straight i right parenthesis
Then comma space 10 straight x equals 9.99999..... space space space space left parenthesis ii right parenthesis
Subtracting space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis comma space we space get
9 straight x equals 9
rightwards double arrow straight x equals 1
end style
Answered by Rashmi Khot | 14 Apr, 2017, 11:12: PM
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