NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

# NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

## NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1 are the part of NCERT Solutions for Class 9 Maths. Here you can find the NCERT Solutions for Class 9 Maths Chapter 1 Number System 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.

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