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NCERT Solutions Class 9 Mathematics

Exercise 1.1

Q.1. Is zero a rational number? Can you write it in the form pq, where p and q are integers and q ≠ 0?

Q.2. Find six rational numbers between 3 and 4.

Q.3. Find five rational numbers between 35 and 45.

Q.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.

NCERT Solutions Class 9 Mathematics

Exercise 1.1

Q.1. Is zero a rational number? Can you write it in the form pq, where p and q are integers and q ≠ 0?

Solution:

Yes. Zero is a rational number as it can be represented as 01, 02, etc..

Q.2. Find six rational numbers between 3 and 4.

Solution:

The given numbers can be represented as,

3=31=31×77=217

4=41=41×77=287

Therefore, six rational numbers between 3 and 4 are

227,237,247,257,267,277.

Q.3. Find five rational numbers between 35 and 45.

Solution:

The given numbers can be represented as,

35=35×66=1830

45=45×66=2430

Therefore, five rational numbers between 35 and 45 are

1930,2030,2130,2230,2330.

Q.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) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.