NCERT Solutions For Class 8 Maths Chapter 1 Rational Numbers: If you are stuck and not able to get the NCERT Solutions for Class 8, then we are here to help you. We get you detailed NCERT Maths Class 8 Chapter 1 solutions.
NCERT Solutions provided here are prepared by the best academicians and teachers at Embibe. The solutions are precise, simple and as per the CBSE curriculum so that students can not only complete their homework on time but also score maximum marks in the final exam. Here, in this article, you will find a detailed explanation for each and every question from your NCERT Maths Book.
NCERT Solutions For Class 8 Maths Chapter 1: Rational Numbers
Before getting into the details of Class 8 Maths Chapter 1 solutions, let’s look at the list of topics and sub-topics covered in the Rational Numbers chapter. Click on any topic to download the solution as a PDF.
|1.2||Properties of Rational Numbers|
|1.3||Representation of Rational Numbers on the Number Line|
|1.4||Rational Numbers between Two Rational Numbers|
NCERT Solutions For Class 8 Maths Chapter 1: Solved Exercises and In-Text Questions
8 Class Maths Chapter 1 solution provided here has been solved by the academic experts of Embibe. They have taken into consideration the CBSE guidelines and marking scheme while drafting these NCERT Solutions for Class 8 Maths. The language used in these solutions can be easily understandable by a Class 8 student.
Download the NCERT solutions for Class 8 Maths Chapter 1 PDF from the link provided below:
Download CBSE Class 8 Solutions for Maths for other chapters from the table below:
- Chapter 2 – Linear Equations in One Variable
- Chapter 3 – Understanding Quadrilaterals
- Chapter 4 – Practical Geometry
- Chapter 5 – Data Handling
- Chapter 6 – Squares and Square Roots
- Chapter 7 – Cubes and Cube Roots
- Chapter 8 – Comparing Quantities
- Chapter 9 – Algebraic Expressions and Identities
- Chapter 10 – Visualizing Solid Shapes
- Chapter 11 – Mensuration
- Chapter 12 – Exponents & Powers
- Chapter 13 – Direct and Inverse Proportions
- Chapter 14 – Factorization
- Chapter 15 – Introduction to Graphs
- Chapter 16 – Playing with Numbers
NCERT Solutions For Class 8 Chapter 1 Maths: Chapter Summary
In earlier classes, you must have studied various numbers like natural numbers, whole numbers, integers, fractions, etc. Here in this chapter, you will learn about Rational Numbers. A number which is expressed in the form p/q, where p and q are integers and q≠0 is called a rational number.
In this chapter you will also study various properties of rational number like closure, commutativity, associativity, the role of zero, the role of 1, negative of a number, reciprocal, distributivity of multiplication over addition for rational numbers, representation of rational numbers on the number line and rational numbers between two rational numbers.
You get to know the difference between a rational number and a fraction. Are they similar or different?
These are the numbers which are written in the form p/q, where p and q are integers and q≠0.
These are the numbers which are written in the form p/q, where p and q are whole numbers and q≠0.
They can be positive or negative numbers.
Fraction cannot be negative.
For example: 12/7, 2/-8, -22/-56/ -1/22
For example: 10/12, 15/76, 55/98, 12/9
So, we can say that a fractional number can always be a rational number, but a rational number may or may not be a fractional number.
FAQs Related To Class 8 Maths Chapter 1 Solutions
Here we have provided some of the frequently asked questions related to CBSE Class 8 Maths Chapter 1.
(i) Zero has _____ reciprocal.
(ii) The numbers _____ and _____ are their own reciprocals.
(iii) The reciprocal of –5 is _____.
(iv) Reciprocal of 1/x, where x ≠ 0 is _____.
(v) The product of two rational numbers is always a _____.
(vi) The reciprocal of a positive rational number is _____.
A: (i) Zero has no reciprocal.
(ii) The numbers -1 and 1 are their own reciprocals
(iii) The reciprocal of -5 is -1/5.
(iv) Reciprocal of 1/x, where x ≠ 0 is x.
(v) The product of two rational numbers is always a rational number.
(vi) The reciprocal of a positive rational number is positive.
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
A: (i)The rational number that does not have a reciprocal is 0.
(ii) The rational numbers that are equal to their reciprocals are 1 and -1.
(iii) The rational number that is equal to its negative is 0.
A: 3(1/3) = 10/3
0.3 = 3/10
[Multiplicative inverse ⟹ product should be 1]
According to the question,
3/10 × 10/3 = 1
Therefore, 0.3 is the multiplicative inverse of 3(1/3).
A: 1/3 × (6 × 4/3) = (1/3 × 6) × 4/3
Here, the way in which factors are grouped in a multiplication problem, supposedly, does not change the product. Hence, Associativity Property is used here.
A: Reciprocal of -7/16 = 16/-7 = -16/7
According to the question,
6/13 × (Reciprocal of -7/16)
6/13 × (-16/7)
A: Let us make the denominators same, say 20.
-2/5 = (-2 × 4)/(5 × 4) = -8/20
½ = (1 × 10)/(2 × 10) = 10/20
Ten rational numbers between -2/5 and ½
= 10 rational numbers between -8/20 and 10/20
Therefore, ten rational numbers between -8/20 and 10/20
= -5/20, -2/20, -1/20, 1/20, 2/20, 4/20, 5/20, 6/20, 7/20, 8/50
A. Outlines to Prepare for Class 8 CBSE Maths Exam
1. Make a List of Important Concepts.
2. Clear doubts regarding the chapter
3. Refer NCERT books and solutions on Embibe
4. Practice previous question papers.
5. Prepare According to Subject.
A. Maths Chapter 1 – Rational Numbers is an important chapter in the CBSE syllabus for Class 8. Students can establish a firm knowledge of the chapter by practicing a range of questions provided by Embibe. Still, it is advisable to first read the chapter properly from the NCERT textbook before referring to the Important Questions PDF. Students can avail of Important Questions for Class 8 Maths Chapter 1 provided by expert teachers at Embibe to practice different questions during the exam and concept building.
You can solve the free CBSE Class 8 practice questions on Embibe for Mathematics and Science. You can also take CBSE Class 8 Mock Tests for these subjects. These will be of great help to you.
If you have any query regarding this article on Class 8th Maths Chapter 1, kindly drop your questions in the comment box below and we will get back to you as soon as possible. Stay tuned to Embibe for the latest updates.1823 Views