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

Question

Philoid · Accepted Answer

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.