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$\dfrac{1}{{ ext{x}}}$, where x ≠ 0 is ________. (v). The product of two rational numbers is always a _________.(vi). The reciprocal of a positive rational number is ___________.

Question

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$\dfrac{1}{{	ext{x}}}$, where x ≠ 0 is ________. (v). The product of two rational numbers is always a _________.(vi). The reciprocal of a positive rational number is ___________.

Vedantu Content Team · Accepted Answer

Hint – The reciprocal of a number ‘a’ is$\dfrac{1}{{	ext{a}}}{	ext{ where a}} 
e {	ext{0}}$. 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 NumberNote – 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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