RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

RD Sharma Solutions for Class 9 Mathematics

Created by: Abhishek Kapoor

Class 9 : RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

The document RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.
All you need of Class 9 at this link: Class 9

Q1. Is 0 a rational number? Can you write it in the form P/Q , where P and Q are integers and Q ≠ 0?

Solution:

Yes, 0 is a rational number and it can be written in P÷Q form provided that Q ≠ 0

0 is an integer and it can be written various forms, for example

0÷2,0÷100,0÷95 etc.


Q2. Find five rational numbers between 1 and 2

Solution:

Given that to find out 5 rational numbers between 1 and 2

  • Rational number lying between 1 and 2
    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev
  • Rational number lying between 1 and 3/2
    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev
  • Rational number lying between 1 and 5/4
    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev  Rational number lying between 3/2 and 2
    = 9/2
    = 1 < 9/8 < 5/4
  • Rational number lying between 3/2 and 2
    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev
  • Rational number lying between 7/4 and 2
    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

    Therefore,    RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev


Q3. Find out 6 rational numbers between 3 and 4

Solution:

Given that to find out 6 rational numbers between 3 and 4

We have,

RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

We know 21 < 22 <  23 < 24 < 25 < 26 < 27 < 28

RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

Therefore, 6 rational numbers between 3 and 4 are

RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

Similarly to find 5 rational numbers between 3 and 4, multiply 3 and 4 respectively with 6/6 and in order to find 8 rational numbers between 3 and 4 multiply 3 and 4 respectively with 8/8 and so on.


Q4. Find 5 rational numbers between  RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

Solution : Given to find out the 5 rational numbers between RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

To find 5 rational numbers between  RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

We have,

RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

We know  18 < 19 < 20 < 21 < 22 <  23 < 24

RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

Therefore, 5 rational numbers between  RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

Q5. Answer whether the following statements are true or false? Give reasons in support of your answer.

 (i) Every whole number is a rational number

(ii) Every integer is a rational number

(iii) Every rational number is an integer

(iv) Every natural number is a whole number

(v) Every integer is a whole number

(vi) Every rational number is a whole number

Solution:

(i)  True. As whole numbers include and they can be represented

For example  RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev . And so on.

(ii) True. As we know 1, 2, 3, 4 and so on, are integers and they can be represented in the form of   RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev

(iii) False. Numbers such as  RD Sharma Solutions -Ex-1.1 Number System, Class 9, Maths Class 9 Notes | EduRev  are rational numbers but they are not integers.

(iv) True. Whole numbers include all of the natural numbers.

(v) False. As we know whole numbers are a part of integers.

(vi) False. Integers include -1, -2, -3 and so on….. .which is not whole number

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