Download CBSE Class 10 Mathematics Real Numbers Notes Set A in PDF format. All Revision notes for Class 10 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 10. Our teachers have designed these concept notes for the benefit of Class 10 students. You should use these chapter wise notes for revision on daily basis. These study notes can also be used for learning each chapter and its important and difficult topics or revision just before your exams to help you get better scores in upcoming examinations, You can also use Printable notes for Class 10 Mathematics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 10 Mathematics given on studiestoday
Revision Notes for Class 10 Mathematics Chapter 1 Real Numbers
Class 10 Mathematics students should refer to the following concepts and notes for Chapter 1 Real Numbers in Class 10. These exam notes for Class 10 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks
Chapter 1 Real Numbers Notes Class 10 Mathematics
Chapter 1: Real Numbers
Points to Remember
Key Concepts
5.Euclid’s Division Algorithm is stated for only positive integers but it can be extended for all integers except zero, i.e, b ≠ 0.
6.The numbers which can be represented in the form of p/q where q 0 and p and q are integers are called Rational numbers.
7.Irrational numbers are the numbers which are non-terminating and non-repeating.
8.Irrational numbers are used in
i.Finding the length of diagonal of a square whose sides are given.
ii.Finding the hypotenuse of a right triangle.
iii.Deducing the circumference of a circle whose radius is known.
9.Rational and irrational numbers together constitute Real numbers.
10.Terminating fractions are the numbers which leaves remainder 0 on normal division.
11.Recurring fractions are the numbers which never leave a remainder0 on normal division.
12.If p is a prime and p divides a2, then p divides q where a is a positive integer.
13. If p is a prime, then p is an irrational number.
14. The decimal expansion of rational number is either terminating or non-terminating recurring (repeating).
15. The decimal expansion of an irrational number is non-terminating, non-recurring.
16. If the decimal expansion of rational number terminates, then we can express the number in the form of p/q, where p and q are coprime, and the prime factorization of q is of the form 2n5m, where n and m are non negative integers.
17. A number ends with the digit zero if and only if it has either 2 or 5 as its prime factors.
18. The sum, difference, product and quotient of two irrational numbers need not always be irrational number.
19. There are more irrational numbers than rational numbers between two consecutive numbers.
20. Sum and product of a rational number and an irrational number is an irrational number.
21. Fundamental Theorem of Arithmetic: Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.
22. The prime factorisation of a composite number is unique, except for the order of its factors.
23. Highest Common Factor (HCF) is the product of the smallest power of each common prime factor in the numbers.
24. Lowest Common Multiple (LCM) is the product of the greatest power of each prime factor, involved in the numbers.
Key Formulae
Please refer to the link below for CBSE Class 10 Mathematics - Real Numbers Concepts
| CBSE Class 10 Mathematics Real Numbers Notes And Examples |
| CBSE Class 10 Mathematics Real Numbers Notes Set A |
| CBSE Class 10 Mathematics Real Numbers Notes Set B |
| CBSE Class 10 Mathematics Polynomials Notes Set A |
| CBSE Class 10 Mathematics Polynomials Notes Set B |
| CBSE Class 10 Mathematics Polynomials Notes Set C |
| CBSE Class 10 Mathematics Linear Equations Notes |
| CBSE Class 10 Mathematics Pair Of Linear Equations In Two Variables |
| CBSE Class 10 Mathematics Quadratic Equations Notes Set A |
| CBSE Class 10 Mathematics Quadratic Equations Notes Set B |
| CBSE Class 10 Mathematics Triangles Notes Set A |
| CBSE Class 10 Mathematics Triangles Notes Set B |
| CBSE Class 10 Mathematics Some Application Of Trigonometry Notes |
| CBSE Class 10 Mathematics Circles Notes Set A |
| CBSE Class 10 Mathematics Circles Notes Set B |
| CBSE Class 10 Mathematics Constructions Notes Set A |
| CBSE Class 10 Mathematics Constructions Notes Set B |
More Study Material
CBSE Class 10 Mathematics Chapter 1 Real Numbers Notes
We hope you liked the above notes for topic Chapter 1 Real Numbers which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above notes for Class 10 Mathematics regularly. All revision notes have been designed for Mathematics by referring to the most important topics which the students should learn to get better marks in examinations. Studiestoday is the best website for Class 10 students to download all latest study material.
Notes for Mathematics CBSE Class 10 Chapter 1 Real Numbers
Our team of expert teachers have referred to the NCERT book for Class 10 Mathematics to design the Mathematics Class 10 notes. If you read the concepts and revision notes for one chapter daily, students will get higher marks in Class 10 exams this year. Daily revision of Mathematics course notes and related study material will help you to have a better understanding of all concepts and also clear all your doubts. You can download all Revision notes for Class 10 Mathematics also from www.studiestoday.com absolutely free of cost in Pdf format. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 10 Mathematics provided by our teachers
Chapter 1 Real Numbers Notes for Mathematics CBSE Class 10
All revision class notes given above for Class 10 Mathematics have been developed as per the latest curriculum and books issued for the current academic year. The students of Class 10 can rest assured that the best teachers have designed the notes of Mathematics so that you are able to revise the entire syllabus if you download and read them carefully. We have also provided a lot of MCQ questions for Class 10 Mathematics in the notes so that you can learn the concepts and also solve questions relating to the topics. All study material for Class 10 Mathematics students have been given on studiestoday.
Chapter 1 Real Numbers CBSE Class 10 Mathematics Notes
Regular notes reading helps to build a more comprehensive understanding of Chapter 1 Real Numbers concepts. notes play a crucial role in understanding Chapter 1 Real Numbers in CBSE Class 10. Students can download all the notes, worksheets, assignments, and practice papers of the same chapter in Class 10 Mathematics in Pdf format. You can print them or read them online on your computer or mobile.
Notes for CBSE Mathematics Class 10 Chapter 1 Real Numbers
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