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0 . ¯ 001 When Expressed in the Form P Q (P, Q Are Integers, Q ≠ 0), is - Mathematics

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Question

\[0 . \bar{{001}}\] when expressed in the form \[\frac{p}{q}\]  (p, q are integers, q ≠ 0), is

Options

  • \[\frac{1}{1000}\]

  • \[\frac{1}{100}\]

  • \[\frac{1}{1999}\]

  • \[\frac{1}{999}\]

MCQ

Solution

Given that `0 overline.001`

Now we have to express this number into `p/q` form

Let x = `0.overline001`

`= 0+1/999`

`= 1/999`

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Chapter 1: Number Systems - Exercise 1.7 [Page 41]

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RD Sharma Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.7 | Q 17 | Page 41

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