RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

RD Sharma Solutions for Class 8 Mathematics

Created by: Abhishek Kapoor

Class 8 : RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

The document RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

 Question 1: Find a rational number between −3 and 1.

Answer 1: Rational number between −3 and 1 =

RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev -2/2 = -1
Question 2:  Find any five rational numbers less than 2.

Answer 2:

We can write:RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

Integers less than 10 are 0, 1, 2, 3, 4, 5 ... 9.

Hence, five rational numbers less than 2 are 0/5, 1/5, 2/5, 3/5,and 4/5 .
Question 3: Find two rational numbers between −2/9 and 5/9.-29 and 59.

Answer 3:
Since both the fractions (−2/9 and 5/9) have the same denominator, the integers between the numerators(−2 and 5) are −1, 0, 1, 2, 3, 4.Hence, two rational numbers between −2/9 and 5/9 are 0/9 or 0 and 1/9.
Question 4: Find two rational numbers between 1/5 and 1/2.15 and 12
Answer 4: Rational number between1/5 and1/2 =  RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

Rational number between 1/5 and7/20 =RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev


Therefore, two rational numbers between 1/5 and 1/2 are 7/20 and 11/40.
Question 5: Find ten rational numbers between 1/4 and 1/2.14 and 12.
Answer 5: The L.C.M of the denominators (2 and 4) is 4.

So, we can write 1/4 as it is. 

RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

As the integers between the numerators 1 and 2 of both the fractions are not sufficient, we will multiply the fractions by 20. 

RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

Between 20 and 40, there are 19 integers. They are 21, 22, 23, 24, 25, 26, 27....39, 40.

Thus, 21/40,22/40,23/40,24/40,25/40,...................38/40 and 39/40 are the fractions.We can take any 10 of these. 

Question 6: Find ten rational numbers between -2/5 and1/2. and 12.
Answer 6:

L.C.M of the denominators (2 and  5) is 10.

We can write: 

RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

Since the integers between the numerators (−4 and 5 ) of both the fractions are not sufficient, we will multiply the ractions are not sufficient, we will multiply the fractions by 2.

RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev

There are 17 integers between −8 and 10, which are −7,−6,−5,−4...................8, 9.These can be written as: 

−7/20, −6/20, −5/20, −4/20, −3/20,................... 8/20 and 9/20

We can take any 10 of these. 


Question 7: Find ten rational numbers Between 3/5 and 3/4.
Answer 7: The L.C.M of the denominators 5 and 4 of both the fractions is 20.We can write: RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev
Since the integers between the numerators 12 and 15 are not sufficient, we will multiply both the fractions by 5.
RD Sharma Solutions - Chapter 1 - Rational Numbers (Ex -1. 8), Class 8, Maths Class 8 Notes | EduRev
There are 14 integers between 60 and 75. They are 61, 62, 63.......73 and 74. Therefore, 60/100,61/100,62/100..........73/100 and74/100 are the 14 fractions. We can take any 10 of these.

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