Question 115

$$0.\overline{001}$$ is equal to

Solution

Let $$x =0.\overline{001}$$ be the first equation

$$1000x = 1000 \times 0.\overline001$$

= $$1.\overline{001}$$

Let $$1000x = 1.\overline{001}$$ be second equation

Subtracting equation 1 from 2

$$999x = 1$$

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

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