NCERT Maths Book Class 8

NCERT Class 8 Maths Book 

Many students indeed fear Maths glancing at the long equations and questions. The NCERT books for class 8 helps learners overcome this fear with their simple explanations.

Moreover, class 8th maths NCERT book follows the CBSE pattern, making it apt for both general and competitive exams. The in-depth elucidation and exercises compel students to develop the habit of practice. 

The NCERT maths class 8 textbooks point out the logic behind the equation, which is needed for a clear concept. By following the NCERT Maths book, students are sure to gain good grades.

Chapter-Wise Overview of Class 8 Maths

Chapter 1: Rational Numbers

The first chapter of the book introduces the concept of rational numbers. It explains that any number that is a division of two integers is called rational numbers. Students learn the difference between positive and negative integers which are crucial to equate with natural numbers.

This 8th class maths textbook further explains the closure properties, commutativity, and associativity of rational numbers, whole numbers, and integers. Moreover, the children get to understand the role of 0 and 1 in the equation of rational numbers. 

Furthermore, the concepts of a negative number, reciprocal, distributive of multiplication and addition, number line, and distributive of a rational number is explained in detail. These concepts are presented with examples to clear the doubts of the learner.

Chapter 2: Linear Equations In One Variable

The following chapter further elucidates the idea of linear equations with one variable. It deals with the formulas and equations crucial for solving the linear equation and variables. This chapter explains ways of solving the linear equation on one side and numbers on the other as well as the numbers on the same side.

The NCERT 8th class maths book PDF further details on the equations that are reducible to direct form. While the need to simplify the expressions forming equations before solving them. 

Moreover, this chapter talks about the diverse utility of linear equations to solve the equations on age, numbers, perimeter, currency, and many more. 

Chapter 3: Understanding Quadrilaterals

The third chapter in class 8 NCERT maths book PDF explains the reader about the concept of quadrilaterals. By further reading, students will learn about Polygons which are classified as a triangle, quadrilaterals, pentagon, hexagon, heptagon, etc. according to the vertices.

Additionally, there is an explanation of diagonals which connects two non-consecutive vertices. The book offers knowledge on different types of polygons like convex, concave, regular, and irregular. 

Besides the explanation, the chapter briefs the students about the angle sum property and the sum to measure the exterior angles of the polygons. It also explains about parallelogram, their diagonals, angle sum, elements, and the special parallelograms.

Chapter 4: Practical Geometry

The fourth chapter of the book explains the basics of geometry, starting with the construction of quadrilaterals. This chapter in NCERT 8th maths book teaches the technique of forming quadrilaterals when 

• Length of four sides and diagonal is given.

• Two diagonals and three sides are given.

• Two adjacent sides and three angles are known. 

• Three sides and two included angles are given.

The students get to learn about different types of quadrilaterals which are rhombus, rectangle, and square. This chapter also teaches the technique to solve the special cases when five measurements are taken to construct a quadrilateral.  

Chapter 5: Data Handling 

In class 8th maths NCERT book PDF, the fifth chapter teaches learners about the ways of data handling. The topic specifies that unorganised information is known as raw data which are needed to be organised for meaningful interference. 

Students get to learn the process of group frequency distribution and the process of finding frequency. Moreover, the chapter shows the different ways of showcasing the data, for example via bars and pie charts. The bar histogram presents the data where class intervals are in a horizontal axis, and the height shows frequencies.

Also, students will understand the laws of probability which follows random experiment and outcomes. At the same time, more occurrence of analysis creates an event.

Chapter 6: Square and Square Roots

This sixth chapter in NCERT maths class 8 book PDF explains the concept of the square and square roots. The numbers like 1, 4, 9,16 which can be expressed as the product of the number with itself are defined as a square number. 

Reading through the topic, students learn about the properties of square numbers and different methods of adding the numbers. A square number can be found by adding triangular numbers, odd numbers, and odd natural numbers. 

Square root portion in this book also teaches about Pythagoras theorem and the Pythagorean triplets. Moreover, the process of finding square root by repeated subtraction, prime factorisation, division, and decimals is also provided. 

Chapter 7: Cube and Cube Roots

The previous chapter taught the basics of finding square roots, while the seventh chapter shows the way of solving cube root problems. In class 8 maths NCERT PDF children learn to multiply numbers by itself three times. 

By reading this chapter, students will know that the perfect cubes can be formed by adding consecutive odd numbers and their prime factors. At the same time, they will learn that the cube roots are the inverse operation of finding cube. 

Moreover, the text details the process of prime factorisation, which can be utilised to find the cube root of a number. 

Chapter 8: Comparing Quantities

The eighth chapter in the NCERT 8 maths book is one of the crucial chapters dealing with finding quantities. This chapter helps in the development of calculating larger numbers in children by introducing them to ratio and percentage. 

Moreover, they are also taught to find the increase and decrease in percentage and discounts. The children also learn the basics of finding profit and loss, cost price, selling price, calculating tax, and interest. 

This class 8 book further helps students to learn formulas to calculate compound interest and compound annual rate.

Chapter 9: Algebraic Expressions and Quantities

The ninth chapter in the NCERT grade 8 maths textbook teaches about expressions that are formed out of terms and products of factors and numerical coefficients. 

The NCERT book specifies the types of expressions that are monomials, binomials, and polynomials. Furthermore,  the chapter details the steps of multiplying two or more than two monomials or multiplying a monomial by a binomial and trinomial.  

Even the process of multiplying polynomial by polynomial is also mentioned in this topic. Students also learn about identity and the ways of applying them in the sum.

Chapter 10: Visualising Solid Shapes

With the introduction of visualising of solid shapes in the NCERT class 8 maths book in English, the children are introduced to the concepts of geometry. The tenth chapter in the book teaches the reader difference of 2D and of 3D shapes and the process of mapping the space around. 

It further teaches terms like edges, faces and vertices, and the types of polyhedrons. The students learn about Euler’s formula, which is the number of faces(F) added with the number of vertices(V) minus the number of edges (E).

The illustrative and graphical representation makes the topic interesting and easy to understand for children.

Chapter 11: Mensuration

Mensuration is the branch of Maths which studies the measurement of length, volume, shape, lateral surface areas. NCERT class 8 mathematics book, teaches class 8 students the process of calculating the area and perimeter of various surfaces.

Children learn to find the area of a trapezium, general quadrilateral, and unique quadrilaterals. Moreover, the chapter explains how to calculate the surface area of 3D shapes like cuboid, cylinder, cube,  cone, and pyramid.

The chapter also teaches students how to find the volume and capacity of different shapes.  

Chapter 12: Exponents and Power

The exponents are small numbers written above the base number to show how many times the base is multiplied. This twelfth chapter of the NCERT class 8 mathematics book PDF illustrates in detail the concept of power and their exponents. 

The children will learn the laws of using a negative and positive exponent. Further reading the chapter, the children will learn how to use negative exponents when expressed with small digits.

Besides, the kids will understand the ways of comparing and dealing with tiny and large numbers. By solving this chapter, the student will be able to solve the algebric problems in the future. 

Chapter 13: Direct and Inverse Proportion

The thirteen chapter of the class 8 maths book NCERT gives a detailed explanation of the direct and inverse proportion of numbers. The text briefs that direct proportion is when a number decreases another number also reduces.

Further, they learn about the inverse proportion, which occurs when one number increases, then the other number decreases and vice versa. The students are made to understand the proper usage of these proportions.

Many examples have been included in the direct and inverse proportion chapter, which explains the steps in detail. By a thorough reading of the lesson, the concepts, application, and function of the proportion of numbers will be apparent to learners.

Chapter 14: Factorisation

The fourteenth chapter in class 8 PDF NCERT maths book explains the term factorisation and factors. It speaks about factors of natural numbers and algebraic expressions. 

There are also details on the nature of factorisation and the methods of solving common factors. This topic explains the method of factorisation using identities and regrouping as well as the division of monomials, polynomials, and algebraic expressions.

Students learn about the concept of regrouping and their usage in solving equations. Moreover, by following the methods of factorisation, one can easily find the crucial errors present in an equation.

Chapter 15: Introduction to Graphs

This penultimate chapter of the NCERT class 8 book maths welcomes the readers to the world of the graph and data. Children are exposed to the technique of making bars, graphs, pie charts, and histograms.

Moreover, they are taught to draw the line graphs as well as their application in different fields. Even the drawing of liner graphs, finding the location of a point, and the importance of x and y coordinates are explained in detail.

It helps children learn the difference between an independent and dependent variable to apply in producing graphs.

Chapter 16: Playing With Numbers

Chapter number 14 helps students understand the idea behind factorisation. This topic in the NCERT class 8 maths book explains the nature of numbers and their usage. It details on reversing two-digit and three-digit numbers.

Moreover, it teaches how three-digit numbers are formed out of three digits and how letters replace numbers in an equation. The text includes fun games and quizzes to explain the concept of finding the missing numbers.

Also, the divisibility test of numbers like 10,9,5,3 and 2 is explained to children via the lesson.  

Why Do Teachers Refer NCERT Books class 8 Mathematics Book? 

The standard preference in textbooks among teachers for exams is NCERT due to the simple reason, the detailed analysis of topics. What makes it well-known is its solutions helpfulness for both CBSE students and the competitive examination pursuers. 

Mathematics is a complex subject that needs regular practice and understanding. Therefore, the maths book explains the concepts and theories in a detailed step by step manner for the reader to gain success in his/ her exam. 

There are countless reasons behind class 8  NCERT maths PDF book being regarded as the best solution. Some of them are :

• It Covers Vast Topics

The NCERT book covers diverse topics related to the equations and logic behind solving them. The children gain in-depth knowledge about rational numbers, factorisation, exponents, square roots, cube roots, and many more. These chapters strengthen the base of students which may be helpful to them in the future.

It is a universal truth that every student needs text designed in a way to clear their concepts on the complex topics. Therefore, teachers refer to their students as the preeminent solution available that is NCERT books. Recommended by experts and teaching professionals, the students can easily download the class 8 maths PDF and resolve their doubts.

• Easy to Understand 

 It is a truth that most teachers prefer NCERT text for teaching due to the simplicity in its language. The elaborate chapters in the class 8 mathematics PDF are explained in a detailed manner so that every child can grasp the idea behind the equations. At the same time, the questions and exercises at the end of each chapter help the CBSE exam aspirants revise for examination.

• Exercise Specialised for Practice

After every chapter in the book is questions designed for students to practice. The subject maths need constant practice and understanding. The multiple questions are best for self-assessment of students and their exam preparation. Moreover, there are exercises explicitly made to help the students increase their thinking aptitude and problem-solving.

• Prepared by Professionals

Each chapter present in the NCERT books class 8 math book PDF is prepared by scholars, surpassed in their field of study. It makes the worth of the subject matter exceptional and beyond comparison. Moreover, its uniqueness lies in the fact that not only CBSE but all the other boards can pursue this book.

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