Class 10 1. Real Numbers Key Points and Introduction: NCERT Book Solutions
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion.
NCERT Solutions
All chapters of ncert books Mathematics 1. Real Numbers Key Points and Introduction is solved by exercise and chapterwise for class 10 with questions answers also with chapter review sections which helps the students who preparing for UPSC and other competitive exams and entrance exams.
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion. - 1. Real Numbers - Key Points and Introduction: NCERT Book Solutions for class 10th. All solutions and extra or additional solved questions for 1. Real Numbers : Key Points and Introduction Mathematics class 10th:English Medium NCERT Book Solutions. Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion.
1. Real Numbers : Key Points and Introduction Mathematics class 10th:English Medium NCERT Book Solutions
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion. - 1. Real Numbers - Key Points and Introduction: NCERT Book Solutions for class 10th. All solutions and extra or additional solved questions for 1. Real Numbers : Key Points and Introduction Mathematics class 10th:English Medium NCERT Book Solutions.
Class 10 1. Real Numbers Key Points and Introduction: NCERT Book Solutions
NCERT Books Subjects for class 10th Hindi Medium
1. Real Numbers
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion.
Key Points and Introduction
Numbers
There are two types of Numbers.
1. Real Numbers
2. Complex Numbers (Real numbers + Imaginary Numbers)
Real Numbers: The numbers which can be represented on the number line by a unique point are called real numbers.
Examples: -1, -2, -3, -4 ....................... , and 1, 2, 3, 4, 5.........................
Complex Numbers: Coplex numbers are the numbers which consist of both real and Imaginary numbers.
Examples: 2 + i√3, where 2 is real part and i√3 is imaginary part.
Real Numbers
(A) Rational Numbers: The numbers which can be express in the form of p/q, and q≠0 such a numbers are known as real numbers.
(B) Irrational Numbers: The numbers which are not rational numbers but these an be represented on a number line, such numbers are known as irrational numbers.
Rational Numbers
(I) Integers:
(a) Whole numbers: These are the set of positive integers from 0. Which have not decimal and fractional part. Such numbers are known as whole numbers.
Example: 0, 1, 2, 3, 4, 5, ...........................
(i) Natural Numbers: Natural numbers counting begin from 1 to ∞ (infinty). such numbers are called natural numbers.
Ex: 1, 2, 3, 4, 5 ....................................... ∞.
(ii) Zero: 0
(b) Negative integers: The numbers before 0 on number line is called as negative integers these are -1, -2, -3, -4 ............................. -∞.
(II) Fractional Numbers:
(a) Proper fraction
(b) Improper fraction
Natural numbers
(a) Odd Numbers: The numbers which can not be divided by 2 are called odd numbers.
Example: 1, 3, 5, 7, 9, 11, 13, 15 ................................................. ∞.
(b) Even Numbers: The numbers which can be divided by 2 are called even numbers.
Example: 2, 4, 6, 8, 10, 12, 14, 16 ................................................ ∞.
(c) Prime Numbers:
(d) Composite Numbers:
(e) Co-prime Numbers:
(f) Perfect Numbers:
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion.
See other sub-topics of this chapter:
1. Key Points and Introduction
Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion. - 1. Real Numbers - Key Points and Introduction: NCERT Book Solutions for class 10th. All solutions and extra or additional solved questions for 1. Real Numbers : Key Points and Introduction Mathematics class 10th:English Medium NCERT Book Solutions. Class 10 chapter 1. Real Numbers Important key points for quick revision for board exams, ssc and upsc exams preparaion.
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Notes And NCERT Solutions
Our NCERT Solution and CBSE Notes are prepared for Term 1 and Terms 2 exams also Board exam Preparation.
Mathematics Chapter List
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles
7. Coordinate Geometry
8. Introduction to Trigonometry
9. Some Applications of Trigonometry
10. Circles
11. Constructions
12. Areas Related to Circles
13. Surface Areas and Volumes
14. Statistics
15. Probability
