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
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
(iv) The reciprocal of
where x ≠ 0 is x.
(v) Rational number
(vi) Positive Rational number
Exercise 1.2
Represent these numbers on the number line:
(i)
(ii)
(i)
can be represented on the number line as follows.
(ii)
can be represented on the number line as follows.
Represent
on the number line.
can be represented on the number line as follows.
Write five rational numbers which are smaller than 2.
2 can be represented as
Therefore, five rational numbers smaller than 2 are:
Find ten rational numbers between
can be represented as
respectively.
Therefore, ten rational numbers between
are
Find five rational numbers between
(i)
can be represented as
respectively.
Therefore, five rational numbers between
are
(ii)
can be represented as
respectively Therefore, five rational numbers
between
are:
(iii)
can be represented as
respectively.
Therefore, five rational numbers between
and
Write five rational numbers greater than –2.
–2 can be represented as
Therefore, five rational numbers greater than –2 are
Find ten rational numbers between
can be represented as
Therefore, ten rational numbers between
are
NCERT SOLUTIONS FOR RATIONAL NUMBERS