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HELLO STUDENTS,

I am Shweta, here today I am going to tell you about the MATHS BOOK CLASS 7TH, its writer is RS AGGARWAL.

The RS Aggarwal Mathematics Book for Class 7th is a thorough reference that goes over all the crucial mathematical concepts that a student at this level needs to be familiar with. The book provides a wide range of tasks to evaluate the students’ grasp of the material and is structured to provide a step-by-step method for problem-solving.

Integers, fractions, decimals, ratios and proportions, percentages, algebraic expressions, equations, geometry, and data processing are just a few of the topics covered in the book. To aid students in the development of their problem-solving abilities, each chapter includes solved examples, practise questions, and multiple-choice questions.

For the purpose of piqueing students’ interest in mathematics and fostering their creativity and critical thinking abilities, the book also includes difficult questions and brain teasers. The book also offers hints and short cuts for effectively and rapidly solving issues.

CHAPTER 1 INTEGERS

Integers are covered in Chapter 1 of the RS Aggarwal Mathematics Book for Class 7. It defines integers and describes how they appear on the number line. Integer multiplication, division, addition, and subtraction are also covered in this chapter. To aid students in grasping the idea thoroughly, it offers practise questions and step-by-step examples.

To further aid students in understanding the practical usage of integers, the chapter also offers examples of real-world uses of integers, such as temperature and elevation. Overall, the chapter offers a thorough introduction to integers, which is a crucial starting point for further mathematics study.

CHAPTER 2 FRACTIONS

Fractions are covered in Chapter 2 of the RS Aggarwal Mathematics Book for Class 7. The notion of fractions, including proper and improper fractions, mixed fractions, and equivalent fractions, is explained in this chapter. Along with the conversion of fractions to decimals and percentages, it also covers the addition, subtraction, multiplication, and division of fractions.

To aid students in understanding the idea and honing their problem-solving abilities, the chapter offers solved examples and practise questions. To further aid students in understanding the practical usage of fractions, the chapter offers examples of real-world uses of fractions, including cooking and measuring. Overall, the chapter offers a thorough introduction to fractions, which is a necessary starting point for further mathematical study.

CHAPTER 3 DECIMALS

The concept of decimal numbers and their uses in mathematics are covered in Chapter 3 on Decimals. The chapter shows how to read, write, and compare decimal numbers as well as how to add, subtract, multiply, and divide decimal numbers using fundamental arithmetic operations. Also, how to go from fractions to decimals and vice versa is covered.

The chapter gives examples of how to use these ideas to address issues that arise in practical settings, such as determining the cost of things with decimal values. The use of decimal numbers to depict and address issues in various situations will be taught to students.

CHAPTER 4 RATIONAL NUMBERS

Decimals are covered in Chapter 3 of the RS Aggarwal Mathematics Book for Class 7. The notion of decimals is explained in this chapter, along with place value, how they relate to fractions, and how to round off decimals. Along with the conversion of fractions to decimals and vice versa, it also covers the addition, subtraction, multiplication, and division of decimals.

To aid students in understanding the idea and honing their problem-solving abilities, the chapter offers solved examples and practise questions. To further aid students in understanding the practical usage of decimals, the chapter offers examples of real-world applications of decimals, such as money and measurements.

CHAPTER 5 EXPONENTS

Exponents are covered in Chapter 5 of the RS Aggarwal Mathematics Book for Class 7. The notion of exponents, comprising the base, exponent, and power, is explained in this chapter. It also discusses negative and zero exponents, as well as the product, quotient, and power laws of exponents.

To aid students in understanding the idea and honing their problem-solving abilities, the chapter offers solved examples and practise questions. To further aid students in understanding the practical usage of exponents, the chapter offers examples of exponents in real-world contexts, such as scientific notation.

CHAPTER 6 ALGEBRAIC EXPRESSIONS

The fundamentals of algebra are covered in Chapter 6 on Algebraic Expressions, which also exposes students to the vocabulary of algebra, which includes variables, constants, and coefficients. It also shows how to evaluate and simplify expressions using algebraic properties and the order of operations.

Examples of the distributive property, factoring, and combining like terms are provided in this chapter, along with instructions on how to solve linear equations and inequalities. Also, students will learn how to graph inequality and linear equations on the coordinate plane.

CHAPTER 7 LINEAR EQUATIONS IN ONE VARIABLE

Students learn about linear equations and their solutions in Chapter 7’s discussion of linear equations in one variable. The fundamentals of employing equality principles and the order of operations to solve equations are covered in this chapter. Equations combining fractions and decimals are also covered, as well as examples of how to solve equations with one, two, or no solutions.

The chapter also shows how to graph linear equations on the coordinate plane and how to formulate and answer word problems using linear equations. Students will learn how to solve problems practically by using equations and use these abilities in practical settings.

CHAPTER 8 RATIO AND PROPORTION

The principles of ratios and proportions as well as their applications in problem solving are covered in Chapter 8 on Ratio and Proportion. The chapter covers alternative ways to construct ratios and how to use the greatest common factor to simplify them.

Also, it covers proportionality and how to apply it to problems involving comparable numbers, rates, and unit conversions. Examples of applying ratios and proportions to solve problems with percentage, interest, and discounts are provided in this chapter. Also, students will learn how to compare and resize figures using scale factors.

CHAPTER 9 UNITARY METHOD

Chapter 9 on Unitary Method introduces students to a method of solving problems by considering the value of one unit of a quantity. The chapter covers how to use unitary method to solve problems involving direct and inverse proportions, such as time and work problems, speed and distance problems, and mixtures problems.

It also explains how to use unitary method to compare ratios, find the cost of one unit of a product, and determine the quantity of materials required for a given task. Students will learn how to apply the unitary method to solve real-world problems and make practical decisions.

CHAPTER 10 PERCENTAGE

Chapter 10 on Percentage covers the concept of percentage and its applications in problem-solving. The chapter explains how to calculate percentages, including finding the percentage increase or decrease, and how to convert between percentages, fractions, and decimals.

It also covers how to solve problems involving percentage of a quantity, percentage change, and simple interest. The chapter includes examples of using percentage to analyze data and make predictions. Students will learn how to apply these concepts in practical situations, such as budgeting, shopping, and financial planning.

CHAPTER 11 PROFIT AND LOSS

The ideas of profit and loss in business and financial transactions are covered in Chapter 11 on Profit and Loss. The chapter provides instructions on how to determine a product or service’s cost price, selling price, profit, and loss as well as how to compute the percentage profit or loss. It also discusses how to handle issues with markups, discounts, and multiple discounts.

Examples of applying profit and loss calculations in a variety of industries, including retail, manufacturing, and finance, are provided in this chapter. Students will learn how to put these ideas into practise to make defensible choices and assess a company’s financial success.

CHAPTER 12 SIMPLE INTEREST

The notion of interest and its applications in financial transactions are covered in Chapter 12 on Simple Interest. The chapter teaches how to figure up the principal, rate, and time for simple interest calculations. It also explains how to use basic interest to address issues including loans, investments, and savings.

Examples of interest calculations for various time periods and instructions on how to determine the total amount payable or earned are provided in this chapter. Students will learn how to put these ideas into practise by analysing investment possibilities and figuring out loan payments, among other tasks.

CHAPTER 13 LINES AND ANGLES

The basic ideas of geometry relating to lines and angles are covered in Chapter 13 on Lines and Angles. The chapter describes several line types, including parallel and perpendicular lines, as well as how to recognise and measure angles, such as acute, obtuse, and straight angles.

Additionally, it discusses using angle relationships to solve difficulties, such as vertical angles and complementary and additional angles. Examples of how to use these ideas in practical contexts, such as in engineering and architecture, are provided in this chapter. Pupils will gain knowledge of geometric analysis and problem-solving techniques.

CHAPTER 14 PROPERTIES OF PARALLEL LINES

The principles pertaining to parallel lines and their properties are covered in Chapter 14 on Properties of Parallel Lines. In order to address problems involving parallel lines, the chapter discusses how to recognise and apply various angle connections, such as alternate interior angles, corresponding angles, and successive interior angles.

The characteristics of transversals, such as vertical angles and same-side internal angles, are also covered. Examples of how to use these ideas in practical contexts, such as in engineering and architecture, are provided in this chapter. Students will gain knowledge of how to examine and resolve parallel line-related issues using geometric reasoning.

CHAPTER 15 PROPERTIES OF TRIANGLES

The qualities and properties of triangles are covered in Chapter 15 on Properties of Triangles. The chapter describes the various kinds of triangles, including equilateral, isosceles, and scalene triangles, as well as their characteristics. Together with the Pythagorean theorem and trigonometric ratios, it also discusses the relationship between a triangle’s sides and angles.

Examples of employing these ideas to solve geometry-related issues are given throughout the chapter, including calculating the area and perimeter of triangles and examining geometric shapes using similarity and congruence. Students will learn how to examine and resolve triangle-related issues using geometric reasoning.

CHAPTER 16 CONGRUENCE

The idea of congruence and its uses in geometry are covered in Chapter 16 on Congruence. The chapter shows how to recognise and apply congruence criteria, such as side-side-side (SSS), side-angle-side (SAS), and angle-side-angle, to demonstrate that two geometric forms are congruent (ASA). It also discusses congruent figure characteristics like matching sides and angles.

Examples of employing these ideas to address geometry-related issues are given in the chapter, including demonstrating triangle congruence and using congruence to assess geometric figures. Students will gain knowledge of how to examine and resolve congruent figure-related issues using geometric reasoning.

CHAPTER 17 CONSTRUCTIONS

The principles and methods of geometric constructions are covered in Chapter 17 on Constructions. The chapter describes how to create a variety of geometric shapes, including perpendicular bisectors, angles, and triangles, using a compass and a straightedge. It also discusses the symmetry and congruence of created figures, among other things.

Examples of using these ideas to resolve geometry-related issues are given in the chapter, such as building a triangle with given sides and angles. The analysis and solution of geometric construction-related issues will be taught to students using geometric reasoning.

CHAPTER 18 REFLECTION AND ROTATIONAL SYMMETRY

The ideas of symmetry in geometric shapes are covered in Chapter 18, which is titled Reflection and Rotational Symmetry. The chapter describes how to recognise and use rotational and reflective symmetry in geometric forms. It also discusses symmetric figures’ attributes, such as their line of symmetry and rotational angle.

Examples of using these ideas to address geometry-related issues, such as determining a figure’s rotational symmetry order, are provided in this chapter. The analysis and solution of reflection and rotational symmetry-related issues will be taught to students using geometrical reasoning.

CHAPTER 19 THREE-DIMENSIONAL SHAPES

The qualities and traits of three-dimensional shapes are covered in Chapter 19 on Three-Dimensional Shapes. In this chapter, the many kinds of three-dimensional shapes—including cubes, spheres, cones, and cylinders—as well as their characteristics are explained. It also discusses how to calculate the volume and surface area of three-dimensional shapes.

Examples of using these ideas to address geometry-related issues, such as calculating the surface area and volume of various three-dimensional objects, are provided in this chapter. Students will learn how to examine and resolve issues involving three-dimensional shapes using geometric reasoning.

CHAPTER 20 MENSURATION

The measurement and computation of various geometric figures are covered in Chapter 20 on Mensuration. The area and perimeter of several two-dimensional shapes, including squares, rectangles, and circles, are explained in this chapter. It also discusses how to calculate the volume and surface area of several three-dimensional shapes, including cubes, spheres, cones, and cylinders.

Examples of using these ideas to address geometry-related issues, such as determining a field’s area or a container’s volume, are provided in the chapter. Students will learn how to examine and resolve problems involving mensuration using geometric reasoning.

CHAPTER 21 COLLECTION AND ORGANISATION OF DATA ( MEAN, MEDIAN AND MODE )

The methods and procedures for data gathering and analysis are covered in Chapter 21 on Collecting and Organization of Data. The chapter provides instructions on how to gather data and show it using several statistical tools, including tables, graphs, and charts. Also, it discusses how to use central tendency measurements like mean, median, and mode to examine data.

Examples of how to use these ideas to address data analysis issues, like determining the average grade received by a class, are provided throughout the chapter. The analysis and solution of issues pertaining to data gathering and organisation will be taught to students using statistical reasoning. 