Let x 0.001 ⇒ x = 0.001001.... ....(a)
We need to multiply both sides by 1000 to get
1000 x = 1.001001..... ....( b)
We need to subtract (a) from (b), to get
We can also write 999 x = 1as x = 1/999.
Therefore ,on converting 0.(001)bar in the p/q form, we the answer as 1/999.
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