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(i). Zero has __________ reciprocal.

(ii). The numbers ______ and _______ are their own reciprocals.

(iii). The reciprocal of -5 is _______.

(iv). Reciprocal of$\dfrac{1}{{\text{x}}}$, where x ≠ 0 is ________.

(v). The product of two rational numbers is always a _________.

(vi). The reciprocal of a positive rational number is ___________.

Answer

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Hint – The reciprocal of a number ‘a’ is$\dfrac{1}{{\text{a}}}{\text{ where a}} \ne {\text{0}}$. Reciprocals of positive numbers are positive and vice versa.

__Complete step-by-step solution -__

(i). No

(ii). 1 and -1

(iii). $ - \dfrac{1}{5}$

(iv). X

(v). Rational Number

(vi).Positive Rational Number

Note – In order to solve this type of questions, a fair amount of knowledge in Number theory is required. Also definitions of rational numbers are required to solve questions regarding them.

(i). No

(ii). 1 and -1

(iii). $ - \dfrac{1}{5}$

(iv). X

(v). Rational Number

(vi).Positive Rational Number

Note – In order to solve this type of questions, a fair amount of knowledge in Number theory is required. Also definitions of rational numbers are required to solve questions regarding them.