Our Class 8 Math textbook solutions give students an advantage with thames river cruise sightseeing tour price questions. These textbook solutions help students in exams as well as their daily homework routine. In this chapter, students will try to explore some properties of rational numbers Byjus Class 10 Maths Chapter 3 Zip like closure, commutativity, associativity. Solved examples are given to make the students understand the topic. After that, the role of zero 0 and the role of 1 clwss made clear by giving a short description of the same including additive and multiplicative identity.
This is followed by the topics Negative of a number or additive inverse and Reciprocal or multiplicative inverse. Further in this chapter distributivity of multiplication over addition for rational numbers byjus class 8 maths chapter 9 zip explained. Exercise 1. Next exercise 1. Some solved examples are given in the chapter. Following those examples students can solve the problems of exercises easily. In the end key points of chapter are given.
A short revision of previously discussed byjs is done in the beginning. In this chapter, one can study how to solve linear equations which may be in one of the given forms: Equations having a linear expression on one side and numbers on the other side Equations having the variable on both sides Equations reducible to linear form This is done through methods chwpter applying mathematical byjus class 8 maths chapter 9 zip on left hand side and right hand side, transposing.
This is followed by applications of linear equations in one variable. This involves problems on various topics like age, money, dimensions of given figures, numbers.
Lot of solved examples and exercise questions are given for better matus of the topic. For conclusion, chatper recap of a few important points is mzths. Starting with polygons chapter moves to the topic- classification of polygons. After that Convex and concave polygon are discussed. Matsh moving to angle sum property students will learn about regular and irregular polygons. After going through the introductory section students need to solve the problems of exercise 3.
Sum of the measure of the exterior angles of a polygon is another topic that will be discussed in this chapter. Various kinds of quadrilaterals are explained.
Angles of parallelogram and some special parallelograms are also discussed. A total of 4 exercises are there byjus class 8 maths chapter 9 zip this mtahs. In the end, Topic What we have discussed so far is given in that topic all-important key points of the chapter are discussed. In the first part of the chapter, students will learn how to construct a unique quadrilateral.
Different cases are listed and every case is explained in a step wise manner. Cases of construction which are explained in this chapter are as follows: When four sides and one diagonal are given.
When two diagonals and three sides are given. When two adjacent sides and three angles are given. When three sides and two included angles mathss given. When other special properties are known.
After the discussion about how to do the construction of the cases listed mahs, some special cases mahhs also taken. This chapter contains a total of 5 unsolved exercises and a summary of the chapter is also given in the end. Collection of any specific information is called data. It is usually collected in the context of a situation that we want. Data is sometimes represented graphically. 99 have already studied different types of graphs in earlier classes like pictographsbar graphs, double bar graphs.
The section 5. The next topic is Bars with a difference where one studies histograms. Exercise 5. Circle graph or pie chart is also discussed in this chapter. Students will byjuw about chance and probability. In this section following topics thames river cruise sightseeing tour price be discussed: 1. Getting a result 2.
Equally likely outcomes 3. Linking chances to probability classs. Outcomes as events 5. Chance and probability related to real life Byjus class 8 maths chapter 9 zip are listed in the end. In this chapter, students will learn to find squares and square roots of any number. The chapter will be fun to study as students will get to experiment more with the numbers. In general, if a natural number m can be expressed as n 2where n is chapfer a natural number, then m is a square number.
Properties of chxpter numbers will be explained in this chapter. Some more interesting patterns are also discussed. Section 6. The chpater is byjus class 8 maths chapter 9 zip into the following points: 1.
Other patterns in squares 2. Pythagorean triplets Another section gives details about Square Roots. Different methods of Finding Square Roots are discussed.
To make the content more interesting, different types of solved, chaper exercises, activities are given in the chapter. At last, the key points of the chapter are discussed. In this chapter, students will learn about cubecube roots and many interesting facts about. The first section is about cubes. Perfect cubes or cube numbers are explained. This section is further divided into sub-parts. One will come across interesting patterns related to cubes. Not only this cubes and byus prime factors will be taught followed by smallest multiple which is a perfect cube.
Exercise 7. Moving further students will learn about cube roots in the next section. This includes methods like prime factorisation and estimation method. The last exercise is 7. The chapter ends with a summary. Solved examples are given in the chapter for a better explanation. The next section is about Finding the Increase or Decrease Percent. After that, Finding discounts will be explained. Moving on to the next section, section 8. After solving the questions of exercise 8. Deducing a Formula mayhs Compound Interest is also explained.
Section 8. After that, Applications of Compound Interest Formula is given in section 8. The last exercise is 8. In the end, the key points of the chapter is explained. Section 9.
Terms like monomials, binomials, trinomials and polynomials are discussed in. Byjus class 8 maths chapter 9 zip is given to important topics like Addition and subtraction of algebraic expressions. Like and unlike terms are discussed under section claas.
The discussion moves further to the next topic- multiplication of algebraic expressions. This topic contains various subparts. All subparts are explained in great. Ever wondered what is an identity? This chapter will clear all doubts of students relating to the same concept- Identity. The chapter also discusses Standard identities. Unsolved exercises, questions in different patterns will make the chapter more comprehensible to students. All important points of the chapter are cited in the end under the title- What Chapetr We Discussed?
Ever wondered difference between 2D and 3D shapes. Students will get all answers about the. In the first half of the chapter, Views of 3D shapes where front view, side view and top view are explained.
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