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Mathematics

Which of the following are negative rational numbers?

(i) 165\dfrac{-16}{5}

(ii) 1011\dfrac{-10}{-11}

(iii) -21

(iv) 03\dfrac{0}{-3}

(v) 17

Rational Numbers

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Answer

(i) 165\dfrac{-16}{5}

⇒ The numerator is negative and the denominator is positive (opposite signs).

Hence, it is a negative rational number.

(ii) 1011\dfrac{-10}{-11}

⇒ Both are negative, so the signs cancel out (1011\dfrac{10}{11}), making it positive.

Hence, it is not a negative rational number.

(iii) -21

⇒ It can be written as 211\dfrac{-21}{1}. The signs are opposite.

Hence, it is a negative rational number.

(iv) 03\dfrac{0}{-3}

⇒ The value is 0, which is neutral (neither positive nor negative).

Hence, it is not a negative rational number.

(v) 17

⇒ It is a positive integer (can be written as 171\dfrac{17}{1}).

Hence, it is not a negative rational number.

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