CBSE Class 9 Mathematics Number Systems Notes

Download CBSE Class 9 Mathematics Number Systems Notes in PDF format. All Revision notes for Class 9 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 9. Our teachers have designed these concept notes for the benefit of Class 9 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 9 Mathematics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 9 Mathematics given on studiestoday

Revision Notes for Class 9 Mathematics Chapter 1 Number Systems

Class 9 Mathematics students should refer to the following concepts and notes for Chapter 1 Number Systems in Class 9. These exam notes for Class 9 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks

Chapter 1 Number Systems Notes Class 9 Mathematics

 

CBSE Class 9 Concepts for Number Systems. Learning the important concepts is very important for every student to get better marks in examinations. The concepts should be clear which will help in faster learning. The attached concepts made as per NCERT and CBSE pattern will help the student to understand the chapter and score better marks in the examinations.

Chapter 1

Number Systems

Chapter Notes

Key Concepts

1. Numbers 1, 2, 3…….¥, which are used for counting are called Natural numbers and are denoted by N.

2. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W

3. -1,-2,-3……………..-¥ are the negative of natural numbers.

4. The negative of natural numbers, 0 and the natural number together constitutes integers denoted by Z.

5. The numbers which can be represented in the form of p/q where q ¹ 0 and p and q are integers are called Rational numbers. Rational numbers are denoted by Q. If p and q are coprime then the rational number is in its simplest form.

6. Irrational numbers are the numbers which are non-terminating and non-repeating.

7. Rational and irrational numbers together constitute Real numbers and it is denoted by R.

8. Equivalent rational numbers (or fractions) have same (equal) values when written in the simplest form.

9. Terminating fractions are the fractions which leaves remainder 0 on division.

10. Recurring fractions are the fractions which never leave a remainder 0 on division.

11. There are infinitely many rational numbers between any two rational numbers.

12. If Prime factors of the denominator are 2 or 5 or both only. Then the number is terminating else repeating/recurring. 

13. Two numbers p & q are said to be co-prime if, numbers p & q have no common factors other than 1.

14. The decimal expansion of rational number is either terminating or non-terminating recurring

15. The decimal expansion of an irrational number is non-terminating, non-recurring.

16. Real numbers satisfy the commutative, associate and distributive law of addition and multiplication.

17. Commutative law of addition: If a and b are two real numbers then, a + b = b + a

19. Commutative law of multiplication: If a and b are two real numbers then, a. b = b. a

20. Associative law of addition: If a, b and c are real numbers then, a + (b + c) = (a + b) + c

21. Associative law of multiplication: If a, b and c are real numbers then, a. (b. c) = (a. b). c

22. Distributive of multiplication with respect to addition: If a, b and c are real numbers then, a. (b+ c) = a. b + a. c

23. Removing the radical sign from the denominator is called rationalisation of denominator.

24. The multiplication factor used for rationalising the denominator is called the rationalising factor.

25. The exponent is the number of times the base is multiplied by itself.

26. In the exponential representation m a , a is called the base and m is called the exponent or power.

27. If a number is to the left of the number on the number line, it is less than the other number. If it is to the right, then it is greater than the number.

28. There is one to one correspondence between the set of real numbers and the set of point on the number line.

29. Irrational numbers like 2, 3 , 5 … n , for any positive integer n can be represented on number line by using Pythagoras theorem.

30. The process of visualisation of representation of numbers on the number line through a magnifying glass is known as the process of successive magnification.

CBSE Class 9 Concepts for Number Systems_1

CBSE Class 9 Concepts for Number Systems_2

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CBSE Class 9 Mathematics Chapter 1 Number Systems Notes

We hope you liked the above notes for topic Chapter 1 Number Systems which has been designed as per the latest syllabus for Class 9 Mathematics released by CBSE. Students of Class 9 should download and practice the above notes for Class 9 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. Our team of expert teachers have referred to the NCERT book for Class 9 Mathematics to design the Mathematics Class 9 notes. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 9 Mathematics provided by our teachers. We have also provided a lot of MCQ questions for Class 9 Mathematics in the notes so that you can learn the concepts and also solve questions relating to the topics. We have also provided a lot of Worksheets for Class 9 Mathematics which you can use to further make yourself stronger in Mathematics.

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