1. Real Numbers-Key Points and Introduction Mathematics Class 10 In English-CBSE Notes
Last Updated : 14 March 2026
Get updated Maths Concepts for mathematics for class 10 chapter 1. Real Numbers Topic Key Points and Introduction with clear explanations free access in English medium.
1. Real Numbers-Key Points and Introduction Mathematics Class 10 In English-CBSE Notes
Last Updated : 14 March 2026
1. Real Numbers-Key Points and Introduction Mathematics Class 10 In English-CBSE Notes
1. Real Numbers
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:
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NCERT Solutions for Class 10 mathematics Chapter 1. Real Numbers Topic Key Points and Introduction
NCERT Solutions for Class 10 mathematics Chapter 1. Real Numbers Topic Key Points and Introduction are prepared to help students understand important concepts of the chapter in a simple and clear manner. These solutions are based on the latest CBSE syllabus and follow the official NCERT textbooks. Students who are searching for accurate answers and step-by-step explanations can use these solutions to improve their learning and prepare better for school exams as well as board examinations.
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About Chapter 1. Real Numbers of Class 10 mathematics
Chapter 1. Real Numbers is an important part of the Class 10 mathematics syllabus. This chapter explains several key concepts which are essential for understanding the subject in detail. Students often face difficulties while solving textbook questions related to this chapter. That is why NCERT Solutions for Chapter 1. Real Numbers are provided to explain every concept in a simple and structured way.
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Understanding Topic: Key Points and Introduction
The topic Key Points and Introduction plays a significant role in Class 10 mathematics Chapter 1. Real Numbers. Students must understand this topic clearly because it often appears in examinations in the form of short answer or long answer questions. The solutions provided here explain the topic in a step-by-step format so that students can easily grasp the concept.
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Conclusion
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1. Real Numbers-Key Points and Introduction Mathematics Class 10 In English-CBSE Notes
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1. Real Numbers-Key Points and Introduction Mathematics Class 10 In English-CBSE Notes Study Materials For Class 6 to 12
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