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

Answer 1

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.