Question

0.001 bar into the p/q form​

Answer 1

Let x = 0.001

Or, x=0.001001…x=0.001001…

Since, there are three repeating decimal digit, so multiply x with 1000

Or, 1000 x=1000×0.001001…1000 x=1000×0.001001…

Or, 1000 x=1.001…1000 x=1.001…

Or, 1000 x=1+0.001….1000 x=1+0.001….

Since x=0.001001…x=0.001001…

Thus, 1000 x=1+x 1000 x=1+x

Or, 1000 x−x=11000 x-x=1

Or, 999 x=1999 x=1

Or, x=1/999