Question

Express 0.001....
in the form of p|q n qnot equal to 0

Answer 1

Answer:

1/999

x=0.001001...(let).......(eq.ⁿ 1)

multiplying both sides with 1000;

1000x=1.001................(eq.ⁿ 2)

Subtracting eq. (1) from (2);

1000x–x=1.001...–0.001...

999x=1

$x = \frac{1}{999}$