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Mathematics

The reciprocal of a negative rational number

  1. is a positive rational number

  2. is a negative rational number

  3. can be either a positive or a negative rational number

  4. does not exist

Rational Numbers

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Answer

The reciprocal is obtained by interchanging the numerator and the denominator, so the sign of the rational number does not change.

For example, the reciprocal of −47 is 7−4=−74\dfrac{-4}{7} \text{ is } \dfrac{7}{-4} = \dfrac{-7}{4}, which is again a negative rational number.

Hence, Option 2 is the correct option.

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