NCERT Solutions Class 8 Maths Chapter 1 Rational Numbers
NCERT solutions for class 8 maths chapter 1 rational numbers show us that the foundation of Mathematics is numbers. Depending upon their types numbers can be classified into real, whole, natural, rational, irrational, and complex numbers. In previous classes, kids were used to working with whole and natural numbers while solving equations. But what happens when they end up with a fractional notation as the answer? These solutions help us to answer this question in detail. Any number that can be expressed in the form of a fraction or p/q is termed a rational number. Further, the decimal expansion of such a number is either terminating or non-terminating and recurring. NCERT solutions class 8 maths chapter 1 elaborate on the various properties of rational numbers and how to successfully apply these concepts to solve problems.
With the help of the exercise questions that fall under the scope of this chapter, kids can gain an in-depth knowledge of rational numbers. Also, students get to revise the properties of whole and natural numbers while also learning how these concepts can be adapted to rational numbers. Thus, the class 8 maths NCERT solutions chapter 1 is perfect to give students a holistic understanding of rational numbers and their versatility. In this blog, we will take a closer look at the sub-topics covered under the NCERT solutions Chapter 1 Rational Numbers that may seem simple but are very necessary for children to know in order to succeed not only in class 8 but higher grades also and also you can find some of these in the exercises given below.
NCERT Solutions for Class 8 Maths Chapter 1 PDF
One of the key concepts covered in the NCERT solutions class 8 maths is how rational numbers behave under different arithmetic operation properties such as closure, commutativity, distributivity, and so on. The only way to get a good grasp of the aforementioned concepts is by solving all the questions given in the NCERT coursebook. The best part is that the exercise-wise solutions to all problems are available for free pdf download. The links for the same are given below:
☛ Download Class 8 Maths NCERT Solutions Chapter 1 Rational Numbers
NCERT Class 8 Maths Chapter 1
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers
The way to perfect your art is by regularly practicing it. Thus, students need to periodically revisit the above links and solve the questions by themselves. Once they have attempted a particular problem then they can cross-check their answers, tally their results and solve any doubts that they might encounter. The NCERT Solutions Class 8 Maths Chapter 1 rational numbers given below provide a stepwise analysis of all the sums.
- Class 8 Maths Chapter 1 Ex 1.1 - 11 Questions
- Class 8 Maths Chapter 1 Ex 1.2 - 7 Questions
Topics Covered: The topics covered under class 8 maths NCERT solutions chapter 1 are the closure property, commutativity, associativity, distributive property, additive inverse, multiplicative inverse, and verifying if they hold true for various arithmetic operations such as addition, subtraction, multiplication as well as division. In addition to this, representing a rational number on a number line and finding a rational number between two given numbers is also a part of this lesson.
Total Questions: Class 8 maths chapter 1 rational numbers has 18 questions. 8 can be classified as easy short answer sums, 6 are more challenging and 4 are tough problems.
List of Formulas in NCERT Solutions Class 8 Maths Chapter 1
NCERT solutions class 8 maths chapter 1 encompasses formulas that are essential for getting a deeper understanding of the mechanisms of rational numbers. Most of the formulas are associated with various properties. Apart from this we also see how to calculate the mean of two rational numbers so that we can find one rational number that lies between the given two numerals. Some important formulas and properties covered in NCERT solutions for class 8 maths chapter 1 are given below:
- Closure Property: a + b, a - b, a × b results in a rational number.
- Commutative property: a + b = b + a; a × b = b × a.
- Associative property: a + (b + c) = (a + b) + c; a × (b × c) = (a × b) × c.
- Distributive property: a × (b + c) = ab + ac; a × (b - c) = ab - ac.
FAQs on NCERT Solutions Class 8 Maths Chapter 1
Why are NCERT Solutions Class 8 Maths Chapter 1 Important?
The NCERT solutions class 8 Maths Chapter 1 have been given by experts on the subject matter. These solutions not only provide a reliable way for students to review their answers but also give a step-wise approach to all questions. Kids can use these to write their papers in a well-organized manner to maximize their marks.
Do I Need to Practice all Questions Provided in Class 8 Maths NCERT Solutions Rational Numbers?
It is crucial for kids to practice the NCERT Solutions Class 8 Maths Rational Numbers with due diligence. This will help them build confidence while solving problems and enable them to memorize formulas faster. Thus, during an examination students will not get flustered and can attempt the paper stress-free resulting in an excellent score.
What are the Important Topics Covered in NCERT Solutions Class 8 Maths Chapter 1?
All topics that fall under the NCERT Solutions Class 8 Maths Chapter 1 are equally important. However, to streamline the studying process students must give ample time in preparing questions based on the arithmetic properties followed by rational numbers. Additionally, students must also give close attention to number lines and how they are used to present rational numbers.
How Many Questions are there in NCERT Solutions Class 8 Maths Chapter 1 Rational Numbers?
There are 18 exemplar questions in the NCERT Solutions Class 8 Maths Chapter 1 Rational Numbers. These are divided into two exercises. The first exercise is based on the application of property formulas while the second one sees the use of a number line to represent rational numbers and the mean to find a number between two rational numbers.
What are the Important Formulas in NCERT Solutions Class 8 Maths Chapter 1?
Formulas that give an idea of how a certain property such as associativity, distributivity, commutativity works are vital for kids to learn. The NCERT Solutions Class 8 Maths Chapter 1 consists of a wide variety of questions that give students an opportunity not only to learn these formulas but understand their application in depth.
How CBSE Students can utilize NCERT Solutions Class 8 Maths Chapter 1 effectively?
To effectively utilize the NCERT Solutions Class 8 Maths Chapter 1 kids must first go through the theoretical concepts and solved examples given in the textbook. This imparts insight into how to apply a particular concept. Next, students can attempt the exercise questions and use these solutions to check their steps as well as the result.