Fill in the blanks. (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
Verified
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.
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