The value of 1.999... in the form pq, where p and q are integers and q ≠ 0 , is


Given : 1.999...

Let x = 1.999…. (1)


Multiply (1) by 10


10x = 19.99… (2)


Subtract (1) from (2)


10x – x = 19.99…. – 1.999….


9x = 18


x = 2


Hence option (C) is correct answer.

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