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Class 8 Maths Chapter 1 Exercise 1.2 NCERT Solution
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NCERT Solutions For Class 8th Maths Chapter 1 Exercise 1.2 (1 to 7 All Answers With Details)
Here all the solutions of NCERT Book Class 8 Maths Chapter 1 exercise 1.2 with details are given. So have a look 1 to 7 Questions and Answers – 1.2 rational numbers.
1. Represent these numbers on the number line:
(i) 7/4
(ii) -5/6
Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.2 (answers of question no. 1):
(i) 7/4
Divide the line between the whole numbers into 4 parts. i.e., divide the line between 0 and 1 to 4 parts, 1 and 2 to 4 parts and so on.
Thus, the rational number 7/4 lies at a distance of 7 points away from 0 towards positive number line.
(ii) -5/6
Divide the line between the integers into 4 parts. i.e., divide the line between 0 and -1 to 6 parts, -1 and -2 to 6 parts and so on. Here since the numerator is less than denominator, dividing 0 to – 1 into 6 part is sufficient.
Thus, the rational number -5/6 lies at a distance of 5 points, away from 0, towards negative number line.
2. Represent -2/11, -5/11, and -9/11 on a number line.
Solution:
Divide the line between the integers into 11 parts.
Thus, the rational numbers -2/11, -5/11, -9/11 lies at a distance of 2, 5, 9 points away from 0, towards negative number line respectively.
3. Write five rational numbers which are smaller than 2.
Solution:
The number 2 can be written as 20/10
Hence, we can say that, the 5 rational numbers which are smaller than 2 are:
2/10, 5/10, 10/10, 15/10, 19/10
4. Find the rational numbers between -2/5 and 1/2.
Solution:
Let us make the denominators same, say 50.
-2/5=(-2 × 10)/(5 × 10)=-20/50
½=(1 × 25)/(2 × 25)=25/50
Ten rational numbers between -2/5 and 1/2=ten rational numbers between -20/50 and 25/50
Therefore, ten rational numbers between -20/50 and 25/50=-18/50, -15/50, -5/50, -2/50, 4/50, 5/50, 8/50, 12/50, 15/50, 20/50
5. Find five rational numbers between.
(i) 2/3 and 4/5
(ii) -3/2 and 5/3
(iii) ¼ and ½
Solution:
(i) 2/3 and 4/5
So let us make the denominators same, say 60
i.e., 2/3 and 4/5 can be written as:
2/3=(2 × 20)/(3 × 20)=40/60
4/5=(4 × 12)/(5 × 12)=48/60
Five rational numbers between 2/3 and 4/5=five rational numbers between 40/60 and 48/60
Therefore, 5 rational numbers between 40/60 and 48/60=41/60, 42/60, 43/60, 44/60, 45/60
(ii) -3/2 and 5/3
Now make the denominators same, say 6
i.e., -3/2 and 5/3 can be written as:
-3/2=(-3 × 3)/(2× 3)=-9/6
5/3=(5 × 2)/(3 × 2)=10/6
Five rational numbers between -3/2 and 5/3=five rational numbers between -9/6 and 10/6
Therefore, Five rational numbers between -9/6 and 10/6=-1/6, 2/6, 3/6, 4/6, 5/6
(iii) 1/4 and 1/2
Let us make the denominators same, say 24.
i.e., ¼ and ½ can be written as:
¼=(1 × 6)/(4 × 6)=6/24
½=(1 × 12)/(2 × 12)=12/24
Five rational numbers between ¼ and ½=five rational numbers between 6/24 and 12/24
Therefore, Five rational numbers between 6/24 and 12/24=7/24, 8/24, 9/24, 10/24, 11/24
6. Write five rational numbers greater than -2.
Solution:
-2 can be written as – 20/10
Hence, we can say that, the five rational numbers greater than -2 are
-10/10, -5/10, -1/10, 5/10, 7/10
7. Find ten rational numbers between 3/5 and 3/4.
Solution:
Let us make the denominators same, say 80.
3/5=(3 × 16)/(5× 16)=48/80
3/4=(3 × 20)/(4 × 20)=60/80
Ten rational numbers between 3/5 and ¾=ten rational numbers between 48/80 and 60/80
Therefore, ten rational numbers between 48/80 and 60/80=49/80, 50/80, 51/80, 52/80, 54/80, 55/80, 56/80, 57/80, 58/80, 59/80
Also See: NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.1
Download class 8 maths chapter 1 exercise 1.2 NCERT solution pdf
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Revision from these Class 8 Maths NCERT Solutions will be quite simple during the exams.
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If you have any doubt in NCERT solutions for class 8 maths chapter 1 exercise 1.1 then check here.
class 8th maths chapter 1 exercise 1.2 deals mainly with advanced concepts of rational numbers.
You will see the main discussion about representing the rational numbers on the number line and finding out the rational numbers between any two rational numbers.
The chapter mainly explains countless numbers that can be represented between two rational numbers.
The “mean” concept helps in determining rational numbers.
Practice NCERT Solution for Class 8 Maths Exercise 1.2 Chapter 1
All students should practice the class 8th maths chapter 1 exercise 1.2 solution in order to properly understand how the rational numbers are working.
maths class 8-chapter 1 exercise 1.2 will help in tackling out any problems that you might face while solving the questions. This activity should be done without fail so that you have good hands-on before appearing for the exams and will definitely boost up the confidence level.
