# Fill in the blanks. (i) Zero hasÂ _________Â reciprocal. (ii) The numbersÂ ___________Â andÂ __________Â are their own reciprocals. (iii) The reciprocal ofÂ ?5Â isÂ _________. (iv) Reciprocal ofÂ x1?, whereÂ x?=0Â isÂ _________. (v) The product of two rational numbers is always aÂ ______________. (vi) The reciprocal of a positive rational number isÂ _______________.

Fill in the blanks.
1) Zero has _________ reciprocal.

$x=0; Reciprocal \; \; of \; \; x \; \; is \; \; \frac{1}{x}= Not \; \; defined$

So,0 has NO reciprocal.
2)The numbers _-1_ and _1_ are their own reciprocals.
3) The reciprocal of −5 is _________

$x=-5;\; \; Reciprocal \; \; of\; \; x \; \; is \; \; \frac{-1}{5}$

$4)$$Reciprocal\; \; of \; \; \frac{1}{x}\; \; where \; \; \; \; x\neq 0\; \; is$

$y=\frac{1}{x}\Rightarrow \frac{1}{y}=x$

So Reciprocal of $\frac{1}{x}$ is $x$
5)The product of two rational numbers is always a Rational Number.
6)The reciprocal of a positive rational number is Positive Rational Number.

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