#ncert solutions for class 10 maths chapter 1 real numbers

[class11maths]

00:00:22 Introduction to Lecture 2 of Sets

00:01:32 Basics Explanation of Subsets

00:09:42 NCERT Exercise 1.3 Question 1

00:18:00 Detailed explanation and difference between subset & belongs to (Set belongs to another set)

00:37:32 NCERT Exercise 1.3 Question 2

00:42:52 NCERT Exercise 1.3 Question 3

00:48:52 Total number of subsets in a set (NCERT Exercise 1.3 Question 4)

00:55:12 Power Sets

00:58:12 NCERT Exercise 1.3 Question 5

01:01:32 Represent Real Numbers through closed and open intervals

01:10:32 NCERT Exercise 1.3 Question 6

01:12:02 NCERT Exercise 1.3 Question 7

01:14:42 Universal Sets

01:18:02 NCERT Exercise 1.3 Question 8

01:19:32 NCERT Exercise 1.3 Question 9

Master NCERT Exercise 1.3 of Sets (Class 11 Maths Chapter 1) with this detailed lecture by expert Ashish Sir from MathYug. Learn subsets, power sets, universal sets, and interval notation for real numbers with step-by-step solutions to all questions.

Download notes and assignments from https://mathyug.com/class-11-maths

Explore CBSE + IIT JEE Syllabus (in Hindi): https://mathyug.com

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Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Class 10 Maths Real Numbers Exercise 1.1

Question 1 Use Euclid’s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution: (i) 135 and 225

Method 1:

Method 2:

(ii) 196 and 38220 Method 1:

Method 2:

(iii) 867 and 255 Method 1:

Method 2:

Question 2: Show that any positive odd integer is of the form 6q…

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Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Class 10 Maths Real Numbers Exercise 1.1

Question 1 Use Euclid’s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution: (i) 135 and 225

Method 1:

Method 2:

(ii) 196 and 38220 Method 1:

Method 2:

(iii) 867 and 255 Method 1:

Method 2:

Question 2: Show that any positive odd integer is of the form 6q…

[learncbse6]

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Class 10 Maths Real Numbers Exercise 1.1

Question 1 Use Euclid’s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution: (i) 135 and 225

Method 1:

Method 2:

(ii) 196 and 38220 Method 1:

Method 2:

(iii) 867 and 255 Method 1:

Method 2:

Question 2: Show that any positive odd integer is of the form 6q…

[ncertsolutionsbooks]

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers

Class 10 Maths NCERT Solutions Chapter 1 Real Numbers Class 10 Maths Real Numbers Exercise 1.1

Question 1 Use Euclid’s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution: (i) 135 and 225

Method 1:

Method 2:

(ii) 196 and 38220 Method 1:

Method 2:

(iii) 867 and 255 Method 1:

Method 2:

Question 2: Show that any positive odd integer is of the form 6q…

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[cbse-ncert-solutions]

[swathicbse]

KSEEB SSLC Class 10 Maths Solutions

KSEEB SSLC Class 10 Maths Solutions

KSEEB SSLC Class 10 Maths Solutions Pdf download in both English Medium and Kannada Medium are part of KSEEB SSLC Class 10 Solutions. Here we have given Karnataka Board SSLC Maths 10th Standard Textbook Solutions according to latest NCERT state board syllabus.

Karnataka SSLC Class 10 Maths Solutions

Chapter 1 Arithmetic Progressions

Chapter 2 Triangles

Chapter 3 Pair of Linear Equations in Two Variables

Chapter 4 Circles

Chapter 5 Areas Related to Circles

Chapter 6 Constructions

Chapter 7 Coordinate Geometry

Chapter 8 Real Numbers

Chapter 9 Polynomials

Chapter 10 Quadratic Equations

Chapter 11 Introduction to Trigonometry

Chapter 12 Some Applications of Trigonometry

Chapter 13 Statistics

Chapter 14 Probability

Chapter 15 Surface Areas and Volumes

Arithmetic Progressions Ex 1.1

Arithmetic Progressions Ex 1.2

Arithmetic Progressions Ex 1.3

Triangles Ex 2.1

Triangles Ex 2.2

Triangles Ex 2.3

Triangles Ex 2.4

Triangles Ex 2.5

Pair of Linear Equations in Two Variables Ex 3.1

Pair of Linear Equations in Two Variables Ex 3.2

Pair of Linear Equations in Two Variables Ex 3.3

Pair of Linear Equations in Two Variables Ex 3.4

Pair of Linear Equations in Two Variables Ex 3.5

Pair of Linear Equations in Two Variables Ex 3.6

Circles Ex 4.1

Circles Ex 4.2

Areas Related to Circles Ex 5.1

Areas Related to Circles Ex 5.2

Areas Related to Circles Ex 5.3

Constructions Ex 6.1

Constructions Ex 6.2

Coordinate Geometry Ex 7.1

Coordinate Geometry Ex 7.2

Coordinate Geometry Ex 7.3

Real Numbers Ex 8.1

Real Numbers Ex 8.2

Real Numbers Ex 8.3

Real Numbers Ex 8.4

Polynomials Ex 9.1

Polynomials Ex 9.2

Polynomials Ex 9.3

Quadratic Equations Ex 10.1

Quadratic Equations Ex 10.2

Quadratic Equations Ex 10.3

Quadratic Equations Ex 10.4

Introduction to Trigonometry Ex 11.1

Introduction to Trigonometry Ex 11.2

Introduction to Trigonometry Ex 11.3

Introduction to Trigonometry Ex 11.4

Some Applications of Trigonometry Ex 12.1

Statistics Ex 13.1

Statistics Ex 13.2

Statistics Ex 13.3

Statistics Ex 13.4

Probability Ex 14.1

Surface Areas and Volumes Ex 15.1

Surface Areas and Volumes Ex 15.2

Surface Areas and Volumes Ex 15.3

Surface Areas and Volumes Ex 15.4

[ncertsolutionsbook]

NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 maths covers all exercise questions given in the CBSE textbook. You can download this as free pdf from this page. Our best Mathematics master teachers have reviewed all the class 10 maths ncert solutions of exercise questions that will help you solve all the NCERT class 10 maths questions without any problem. We at Learncbse provide free PDF solutions for NCERT maths class 10 for your ease. You can also share the link of our Learncbse website with your classmates so that they can also download CBSE class 10th math NCERT solution. At any point of time, if you have any doubt while going through the class 10 maths NCERT solutions, The online classes will be conducted by one of our best mathematics teachers. You can even talk to the tutor as you would in a normal tuition class. 

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NCERT Solutions for Class 10 Maths - Free PDF Download Class 10 being a whole new experience for you as it will be the very first time when you will be appearing for the board exams. Speaking of which, a thorough knowledge of all the chapters along with NCERT Solutions for Class 10 Maths can really help you to understand the subject better in less time. Below given are the chapters and the topics and exercises entailed in each of them. Scroll down to get well-versed with each and every chapter of CBSE Class 10 Maths.

Chapter 1 – Real Numbers

NCERT Class 10 Math Chapter 1, Real Numbers, is the extension of the topics learnt in 9th class. Sections 1.2 and 1.3 of this chapter contains some very important properties of positive integers, namely Euclid’s division algorithm and the Fundamental Theorem of Arithmetic. Furthermore, you will be revisiting Irrational Numbers in section 1.4 whereas Revisiting Rational Numbers and Their Decimal Expansions will be included in Section 1.5. Euclid’s division algorithm has a lot to do with divisibility of integers. It has plethora of applications associated with the divisibility properties of integers. NCERT Class 10 Maths Chapter 1, Real Numbers will be highly beneficial to compute the HCF of two positive integers.

Chapter 2 - Polynomials

Polynomials has total of four exercises however the last exercise is optional. In the first exercise, you need to find zeroes of polynomials p(x). In the second exercise, there are two questions. You have to verify the relationship between the zeroes and the coefficients in the first, while in the second, you have to find a quadratic polynomial. The third exercise has a total of five questions in which you have to do division of polynomials and obtain zeroes of polynomials. Then comes the optional exercise which has five questions in which you need to find zeroes of polynomials.

Chapter 3 - Pair of Linear Equations in Two Variables

There is an introduction part in the beginning of this chapter explaining the concepts of Linear equations in two Variables. You will learn some further complex topics while revising concepts that you have learned in class 9. This chapter has a total of seven exercises in which the last exercise is optional again. You will see three world problems given in the first exercise. In the second exercise, there are a total of seven questions. The third exercise has three questions. The fourth exercise has two questions. The fifth exercise has a total of` five questions in which you have to solve the pair of linear equations through various methods given. The sixth exercise has two questions. The last exercise is optional. Some important topics covered in this chapter are graphical representations, Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations, Graphical Method of Solution of a Pair of Linear Equations, Elimination Method, Substitution Method, Cross-Multiplication Method and Equations Reducible to a Pair of Linear Equations in Two Variables.

Chapter 4 - Quadratic Equations

You will study quadratic equations and number of ways to find their roots. You will also get to learn some applications of quadratic equations in our daily life situations. There is a total of four exercises in this chapter. The first exercise has two questions, in the first you will need to find check whether equations are quadratic equations or not while in the second you have to convert world problem into quadratic equations. You need to find the roots of quadratic equations by factorisation in the second exercise. You will be finding the roots of quadratic equations in the third exercise also. The fourth exercise has five questions based on finding the roots. Solution of a Quadratic Equation by Completing the Square, Solution of a Quadratic Equation by Factorisation, and Nature of Roots are the main topics studied in this chapter.

Chapter 5 - Arithmetic Progressions

Arithmetic Progressions, chapter 5 of Class 10 Maths, deals with an introduction to Arithmetic Progression with the help of simple daily life examples and gradually deals with the topics entailed and their complexities. Four exercises are given in this chapter divided into various questions in which we have to find the term. Overall, you will learn how to find the nth terms and the sum of n consecutive terms, and in turn use the acquired knowledge in solving some daily life problems.

Chapter 6 - Triangles

There are six exercises in chapter 6, Triangles, including one optional having different set of questions based on the properties of triangles. This chapter has a total of 9 theorems and is very important for all the students of class 10 Maths for their class 10 Board exam.

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Chapter 7 - Coordinate Geometry

A total of four exercises are given in the chapter. The questions are based on finding the distance between the two points whose coordinates are provided and area of a triangle formed by three given points.

Chapter 8 - Introduction to Trigonometry

This chapter has a total of four exercises comprising of various questions mainly on finding trigonometric ratios of the sides of a right triangle with respect to the acute angles of that triangle, called trigonometric ratios. Trigonometric Ratios, Trigonometric Ratios of Specific Angles, Trigonometric Identities and Trigonometric Ratios of Complementary Angles are the main topics you will learn in this chapter.

Chapter 9 - Some Applications of Trigonometry

In this chapter, you will be studying about some very interesting ways in which trigonometry is uded in the daily life around you. This chapter has only one exercise and the questions of which are based on the practical applications of trigonometry.

Chapter 10 - Circles

Circles has just two exercises. The first exercise contains basic questions, while the second has various questions in which you have to prove the given equations.

Chapter 11 - Constructions

In this chapter, there are two exercise where you have to draw various constructions such as division of line segments, construction of Tangents to a Circle and the questions are based on them.

Chapter 12 - Areas related to Circles

There are three exercises that cover all the questions of the area of a circle and finding the areas of two special ‘parts’ of a circular region.

Chapter 13 - Surface Areas and Volumes

In this chapter, there are five exercises and all of them will deal with the problems of finding areas and volumes of different solids such as cube, cuboid and cylinder.

Chapter 14 - Statistics

You will see a total of four exercises in this chapter. The questions will be based on finding mean, median and mode from ungrouped data to that of grouped data. You will also be solving questions related to cumulative frequency, how to draw cumulative frequency curves and the cumulative frequency distribution topics.

Chapter 15 - Probability

Out of the two exercise in this chapter, one is optional. The questions are based on finding the probability of getting a situation mostly on coins and dice.

Why Learncbse.in

Learncbse.in NCERT Solutions for Class 10 Maths enables you to understand all the basic & advance level concepts after solving each & every exercise question. Our Maths teachers especially focus on clearing out your concepts and providing you with a thorough understanding of all the topics. You are taught on a one-to-one basis by our most dedicated teachers. We at Learncbse.in don't believe in just recorded lectures as they don't prove helpful in solving doubts related to any of the book solutions.

To assess your progress on a regular basis, you are tested by our maths tutors at a definite interval of time. The results are shared with your parents to keep them on the same page as well. Another benefit of Learncbse.in is that you get to choose the pace of the learning of the lesson and the timing of the live tutoring session. The lesson plan is customized according to your requirements. The live sessions are also recorded and are available free of cost to all the students and their parents later for review and revision purposes. Another biggest advantage of studying with Learncbse.in is that you can choose to study class 10 maths ncert solutions either on your PC or through your Android mobile devices after downloading our Instant doubt solving app! You can either join us as a regular student or contact us whenever you have doubts and want to prepare for your tests or examinations! We want our NCERT solutions for class 10 maths to prove highly beneficial for you!

There are several ways with which you can avail the benefits of our NCERT Class 10 Maths Solutions. Let’s see what they are after a brief description. Stepping into Class 10 is the best experience of your life as you will be experimenting and facing new things which might appear very exciting to you. As mentioned already that it will be the first time in your life when you will be appearing for the class 10 board exams. Maths is counted among the most dreadful subjects which is feared by a lot of the students. This is the reason why along with NCERT Solutions for class 10 Maths, we have provided the detailed chapter-wise content so that you face no problem while solving the tricky questions of class 10 Maths. Students are advised to keep the Maths NCERT Solutions class 10 handy so that they can prepare short notes that are highly beneficial for class 10 Maths exam. You can include important formulas and theorems and make short notes of it. Chapters like Coordinate Geometry and Constructions need undivided attention which can be gained by solving NCERT Solutions for class 10 Maths and going through the root cause of each and every problem you are facing problem with. We wish you all the best for your journey along with the preparation of Class 10 Maths and good fortune to all your endeavours.

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10 views 5 Dec 2022In this video you will learn about classification of real numbers such as rational, irrational, integers, whole and natural numbers. Also in the end you will learn how to find rational numbers between two rational numbers. class 9 maths,class 9 maths chapter 1,class 9 maths important questions,important questions,class 9,class 9 maths chapter 1 mcq,class 9 maths chapter 1 important questions with solutions,class 9 maths chapter,class 9 maths chapter 1 extra questions with solutions,class 9 number systems very important questions,number system important questions,class 9 maths number system,ncert solutions for class 9 maths chapter 1,class 9 maths chapter 5,class 9 maths chapter 4 maths 2022 important questions Previous Video: Class-8 Video :- Class-8 Mathematics Chapter-1 Rational Numbers Ex-1.1 Q1 to Q6 :-https://www.youtube.com/watch?v=sqXQO... Class-8 Mathematics Chapter-1 Rational Numbers Ex-1.2 :- https://www.youtube.com/watch?v=rE12Z... Class 8 Maths Chapter-2 :https://www.youtube.com/watch?v=jHvCJ... ✔️📚👉 Watch Full Free Course:- ✔️📚👉 Get Notes Here: - https://aaetclasses.in/free-notes/ ✔️📚👉 Get All Subjects playlists:- https://www.youtube.com/@AAETClasses/... ✔️ Class: 9th ✔️ Subject: Maths ✔️ Chapter: Important Questions (Chapter 1) ✔️ Topic Name: Rational Numbers - Introduction/ Concepts & Examples – Mid Term ✔️ Topics Covered in This Video: Properties of Rational Numbers: Closure, Commutativity, Associative, Distributivity, Examples of Rational Numbers ==================================================== Why study from Math’s with Narendra Sir? Math’s with Narendra Sir is an online education platform that helps gives You NCERT/CBSE curriculum based free full courses that you can perform well in any and all exams you give in your academic career. 👉 Contact us 🤑🤑 ➡️ Connect with us : ➡️ Website : https://aaetclasses.in/ ➡️ Subscribe to us on YouTube: https://www.youtube.com/@AAETClasses/... ➡️ Facebook : https://www.facebook.com/groups/87264... ➡️ Instagram : ➡️ Telegram : https://t.me/mathswithnk Twitter :-https://twitter.com/home Tumblr:-https://www.tumblr.com/ class 9 mathematics ncert solutions ncert solutions for class 9 maths chapter 1 ncert solutions for class 9 maths chapter 1 number system class ix maths maths class 9 solutions

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NCERT Solutions Class 6 Maths

At the beginning of the new academic session, students are very excited about new books and are also curious to know what they’re going to learn in Class 6th. They must have a clear idea of their curriculum. Mathematics is one of the most important and challenging subjects in class 6th and students must refer to the NCERT Solutions for Class 6 Mathematics for guidance in any subject because NCERT solutions follow the basic and simpler approach to concepts and avoid any crafty methods for students. The concepts included in the NCERT Solutions are simplified so that students can optimise their potential and be happy and satisfied with their results.

NCERT Class 6 Maths Solutions PDF Download

Students who want to have a comprehensive understanding of each chapter can refer to the concepts of Mathematics provided on the  Extramarks website. With the class 6 Maths Solutions on Extramarks, students can easily access everything they are looking for.  They can get all the chapters provided in  Mathematics for free.

NCERT Class 6 Maths Chapter wise Solutions in Hindi Medium

Students looking for NCERT Class 6 Maths chapter-wise solutions in Hindi Medium can refer to Extramarks. We do not want language to become a barrier in your success, therefore, experts at Extramarks have prepared solutions in Hindi for NCERT Class 6 Mathematics. Download them from the website.

Chapter 1: Knowing Our Numbers

The chapter covers interesting topics like the formation of large numbers, arranging the numbers in ascending and descending order, shifting digits to create new numbers, and place value tables. The chapter has solved and unsolved exercises along with real-life examples.

Chapter 2: Whole Numbers

The chapter covers whole numbers, their properties, and the number line. The last topic in the chapter discusses patterns in whole numbers that are arranged in the form of dots or numbers. There are a total of three exercises in this chapter.

Chapter 3: Playing with Numbers

An interesting chapter that covers tests for divisibility of numbers, multiples and factors, prime factorization, prime and composite numbers, highest common factor and problems on LCM and HCF.

Chapter 4: Basic Geometrical Ideas

The chapter covers points, line segment, interesting lines, curves, polygons, and parallel lines. Students will also be introduced to angles and shapes. NCERT books have diagrams and examples to explain the chapter in a better way.

Chapter 5: Understanding Elementary Shapes

Students will learn about concepts related to shapes that we see around in daily life. The chapter starts with an introduction to Measuring Line Segments, and covers different methods of comparison. Measuring angles, quadrilaterals, perpendicular lines, three-dimensional shapes, and polygons are some other topics covered in Chapter 5.

Chapter 6: Integers

The chapter familiarises students with Integers and how they are represented on a number line. A detailed explanation of addition of integers, additive inverse, and subtraction of integers, is also given in the chapter.

Chapter 7: Fractions

Fractions are studied in higher classes as well, which makes this introductory chapter very important for students. Fractions on a number line, different types of fractions, and the simplest form of a fraction are some of the topics covered in Chapter 7.

Chapter 8: Decimals

Chapter 8 teaches students how to work with decimals. In the first half of the chapter, students are introduced to concepts like hundredths, tenths, and comparing decimals, while the second half deals with the addition and subtraction of numbers with decimals. There are six unsolved exercises at the end of the chapter.

Chapter 9: Data Handling

The chapter teaches how to deal with different types of data. Concepts related to recording and organising data are covered in the chapter. Other topics include bar graphs, pictographs, and tally marks.

Chapter 10: Mensuration

The Chapter 10 covers concepts related to perimeter and area. The two methods of calculating the area – using graph paper and applying the direct formula – are explained in the chapter. There are three unsolved exercises at the end of the chapter.

Chapter 11: Algebra

The chapter Algebra starts with the concept of Matchsticks Pattern and the idea of a variable. It also includes a detailed explanation of an equation, and the solution of the equation done through the trial and error method.

Chapter 12: Ratio and Proportion

The chapter explains ratios in detail by providing many solved examples. It also covers proportion followed by the unitary method. Students must understand this chapter in a detailed way because Ratio and Proportion are topics that are helpful in our daily life.

Chapter 13: Symmetry

The chapter Symmetry will introduce you to the concept of Figures with Two Lines of Symmetry, Reflection and Symmetry, and Figures with Multiple Lines of Symmetry. The concepts are explained with the help of images so that students have a clearer understanding of the chapter.

Chapter 14: Practical Geometry

The Chapter 14 Practical Geometry covers all the fundamentals of drawing different shapes. It introduces students to geometrical tools and their uses. They will also learn about construction of angles, circles, and line segments. Bisectors of an angle and perpendicular bisector are also explained in the chapter.

Last-Minute Exam Tips for Maths

Here are a few tips  for students to speed up their preparation at the eleventh hour:

Set a particular time when you’re going to revise topic-wise problems.

Instead of solving the questions right away, try to read the question properly and then try to solve the question not vice-versa. It saves time.

If there is a possibility of drawing a diagram in the question, draw the diagram as it will help you answer the question properly. Try to practice the diagram questions properly.

Understand the logic behind the answer rather than memorising it at the last moment. Avoid cramming in Mathematics except for the formulas.

Practise as many previous year question papers as possible.

Do not take the basic calculations lightly and don’t answer the questions in a hurry, especially the easy ones.

Benefits of Studying from Class 6 NCERT Books and Solutions

The benefits of studying from NCERT solutions are–

NCERT solutions provide detailed explanations of every concept which makes it easier for students to understand the concepts and work on them. It also helps them to follow the same pattern in the exam, to avoid those silly errors and improve on their score.

NCERT books are enough for students to practise for the class 6 Mathematics. It has plenty of examples along with in-text and end-text exercises that help students in practising the concepts and preparing ahead of the examination.

Students of class 6 do not have to refer to any other guide. They can solely refer to the NCERT solutions book and it will be enough to prepare them for their exam thoroughly.

Students who refer to the class 6 NCERT solutions will be able to practise the diagrams questions properly.

Why Choose Extramarks For Class 6 Maths Solutions?

Extramarks provide detailed explanations of every concept. Students of Class 6 can access Extramarks website to solve any queries in any chapter in Mathematics. We aim at improving the fundamentals concepts of students which  has a positive impact on studies in higher classes in all subjects. Students can take the help from subject matter experts as well.

Why Should One Download NCERT Solutions of Class 6 Mathematics ??

Mathematics is all about practice. The concepts of students will become clear in their head depending upon how much practice they have done on a regular basis. To understand a mathematical equation thoroughly, students must know the steps involved in the question which can be easily found in the class 6 Maths Solutions of NCERT. Yet another thing that is important Mathematics is accuracy. Students will have to be precise with their answers to score well in the exam, which is taught in the NCERT books of class 6 Mathematics. Students must learn how to solve the question step by step to get the right answer.