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Mathematics

Which of the following are positive rational numbers?

(i) 78\dfrac{-7}{8}

(ii) 1317\dfrac{-13}{17}

(iii) 811\dfrac{-8}{-11}

(iv) 08\dfrac{0}{8}

(v) 07\dfrac{0}{-7}

Rational Numbers

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Answer

(i) 78\dfrac{-7}{8}

⇒ The numerator is negative and the denominator is positive (opposite signs), making it a negative rational number.

Hence, it is not a positive rational number.

(ii) 1317\dfrac{-13}{17}

⇒ The signs are opposite, so it is a negative rational number.

Hence, it is not a positive rational number.

(iii) 811\dfrac{-8}{-11}

⇒ Both the numerator and denominator are negative, the signs cancel out (811=811\dfrac{-8}{-11} = \dfrac{8}{11}), making the value positive.

Hence, it is a positive rational number.

(iv) 08\dfrac{0}{8}

⇒ The value is 0, and zero is neither positive nor negative.

Hence, it is not a positive rational number.

(v) 07\dfrac{0}{-7}

⇒ The value is 0, and zero is neither positive nor negative.

Hence, it is not a positive rational number.

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