- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.3
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4
- NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5
NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1
Ex
1.1 Class 9 Maths Question 1.
Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
Solution:
Yes, zero is a rational number. We can write it in
the form p/q, where p and
q are integers and q ≠ 0.
For example, 0 = 0/1 = 0/2 = 0/3 = 0/-1 = 0/-2, etc. Denominator q can also be taken as
negative integer.
Ex 1.1 Class 9 Maths Question 2.
Find six rational numbers between 3 and 4.
Solution:
To find six rational numbers between 3 and 4, write
3 as 30/10 and 4 as 40/10.
Rational numbers 31/10, 32/10, 33/10, 34/10, 35/10,
36/10, 37/10, 38/10, 39/10 lie between the rational numbers 30/10 and 40/10,
i.e., between 3 and 4.
Thus, the six rational numbers lying between 3 and 4
are:
31/10, 32/10, 33/10, 34/10, 35/10 and 36/10
Ex 1.1 Class 9 Maths Question 3.
Find five rational numbers
between 3/5 and 4/5.
Solution:
Since, we need to find five
rational numbers between 3/5 and 4/5, therefore, multiply numerator and
denominator by 10. We get 30/50 and 40/50.
Rational
numbers 31/50, 32/50, 33/50, 34/50, 35/50, 36/50, 37/50, 38/50 and 39/50 lie
between 30/50 and 40/50, i.e., between 3/5 and 4/5.
Thus,
five rational numbers between 3/5 and 4/5 are
31/50,
32/50, 33/50, 34/50 and 35/50
Ex 1.1 Class 9 Maths Question 4.
State whether the following
statements are true or false. Give reasons for your answers.
(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
∵ The collection of all natural
numbers along with 0 is called the set of whole numbers.
(ii) False
∵ Negative integers are not whole
numbers.
(iii) False
∵ Rational numbers are of the form
p/q, where p and q are integers and q ≠ 0, and q does not divide p completely
that are not whole numbers.
Related Links: