![](/cbse-ncert/class-8/8-math-rational-1-UntitOE49.JPG)
Here, the product is 1. Hence, 0.3 is the multiplicative inverse of
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
(i) 0 is a rational number but its reciprocal is not defined.
(ii) 1 and –1are the rational numbers that are equal to their reciprocals.
(iii) 0 is the rational number that is equal to its negative.
(i) Zero has _________ reciprocal.
(ii) The numbers _________ and _________ are their own reciprocals.
(iii) The reciprocal of –5 is _________.
(iv) Reciprocal of
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE51.JPG)
where x ≠ 0 is _________.
(v) The product of two rational numbers is always a _________.
(vi) The reciprocal of a positive rational number is _________.
(i) Zero has no reciprocal.
(ii) The numbers 1, and –1 are their own reciprocals.
(iii) The reciprocal of –5 is
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE52.JPG)
(iv) The reciprocal of
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE53.JPG)
where x ≠ 0 is x.
(v) Rational number
(vi) Positive Rational number
Exercise 1.2
Represent these numbers on the number line:
(i)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE54.JPG)
(ii)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE55.JPG)
(i)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE56.JPG)
can be represented on the number line as follows.
(ii)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE57.JPG)
can be represented on the number line as follows.
Represent
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE58.JPG)
on the number line.
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE59.JPG)
can be represented on the number line as follows.
Write five rational numbers which are smaller than 2.
2 can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE60.JPG)
Therefore, five rational numbers smaller than 2 are:
Find ten rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE62.JPG)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE63.JPG)
can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE64.JPG)
respectively.
Therefore, ten rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE63.JPG)
are
Find five rational numbers between
(i)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE66.JPG)
can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE69.JPG)
respectively.
Therefore, five rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE66.JPG)
are
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE70.JPG)
(ii)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE67.JPG)
can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE71.JPG)
respectively Therefore, five rational numbers
between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE67.JPG)
are:
(iii)
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE73.JPG)
can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE74.JPG)
respectively.
Therefore, five rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE75.JPG)
and
Write five rational numbers greater than –2.
–2 can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE77.JPG)
Therefore, five rational numbers greater than –2 are
Find ten rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE80.JPG)
can be represented as
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE81.JPG)
Therefore, ten rational numbers between
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE80.JPG)
are
![](/cbse-ncert/class-8/8-math-rational-1-UntitOE82.JPG)
NCERT SOLUTIONS FOR RATIONAL NUMBERS