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Mathematics

A number of the form pq\dfrac{p}{q} is said to be a rational number if

  1. p and qp \text{ and } q are whole numbers and q≠0q ≠ 0.

  2. pp is a whole number and qq is a natural number.

  3. p and qp \text{ and } q are integers and q≠0q ≠ 0.

  4. p and qp \text{ and } q are integers and p≠0,q≠0p ≠ 0, q ≠ 0.

Rational Numbers

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Answer

The numbers which can be expressed in the form pq\dfrac{p}{q}, where p and qp \text{ and } q are integers and q≠0q ≠ 0, are called rational numbers.

The numerator pp may also be 0, as 0q=0\dfrac{0}{q} = 0 is a rational number, but the denominator qq can never be 0 since division by 0 is not defined.

Hence, Option 3 is the correct option.

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