Question

Express the following in the form p/q where p and q are integers and q ≠ 0 .

0.(001)bar

Answer 1

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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