# NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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

Solution:

• Yes, zero is a rational number.
• A rational number is a real number that can be written as a simple fraction.
• In a fraction both the numerator and denominator are whole numbers.
• Most numbers we use in everyday life are Rational Numbers.
• Every whole numbers is a rational numbers, because any whole number can be written as a fraction. Given the Image Define the Rational Number and Irrational Nu …
• For example It can write as etc

it՚s all are form of , where p and q are integers and

Q. 2 Find six rational numbers between 3 and 4

Solution:

• Given 2 rational numbers are 3 and 4
• To find six rational numbers between 3 and 4

Denominator should be made equal to

So multiply in numerator and denominator by 7 we get,

,

Six rational numbers between 3 and 4 can be found by varying the numerator between 21 and 28

We know that

So, the numbers are

Hence, six rational number between are:

Q. 3 Find five rational numbers between .

Solution:

• Given 2 rational numbers are
• And to find five rational numbers between

Denominator should be made equal to

So multiply in numerator and denominator by 6 we get,

,

Five rational numbers between can be found by varying the numerator between and

We know that

Therefore, the numbers are

Hence, five rational number between are:

Q. 4 State whether the following statements are true or false. Give reasons for your answers.

1. Every natural numbers is a whole number.
2. Every integer is a whole number.
3. Every rational number is a whole number.

Solution:

1. 1st statement is True, Since the all whole numbers contains all natural numbers and in additional zero