QUESTION 1. Is zero a rational number? can you write it in the form , where
and
are integers and
?
SOLUTION. Yes, zero is a rational number. It can be written as , etc., where denominator
, it can be negative also.
Ans.
QUESTION 2. Find six rational numbers between 3 and 4.
SOLUTION.
| S.No. | Numbers | Mid value |
| 1 | 3 and 4 | |
| 2 | 3 and | |
| 3 | ||
| 4 | 4 and | |
| 5 | ||
| 6 |
Hence 6 rational numbers between 3 and 4 are


QUESTION 3. Find five rational numbers between and
.
SOLUTION. Since we want to find out 5 numbers between and
, so we multiply the numerator and denominator of
and
by
, i.e., 6 .

Hence, five rational numbers between and
are
and
.
Ans.
QUESTION 4. Are the following statements true or false? Give reasons for your answer.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.
SOLUTION. (i) True, since natural number starts from 1 to and whole number starts from 0 to
.
(ii) False, since negative integers are not whole numbers.
(iii) False, since rational number such that is not whole number.