Our CBSE Notes for Key Points and Introduction Class 10 maths 1. Real Numbers - CBSE Notes - Toppers Study is the best material for English Medium students cbse board and other state boards students.

# Key Points and Introduction Class 10 maths 1. Real Numbers - CBSE Notes - Toppers Study

Topper Study classes prepares CBSE Notes on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our CBSE Notes for Key Points and Introduction Class 10 maths 1. Real Numbers - CBSE Notes - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## Key Points and Introduction Class 10 maths 1. Real Numbers - CBSE Notes - Toppers Study

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### You can Find Mathematics solution Class 10 Chapter 1. Real Numbers

- All Chapter review quick revision notes for chapter 1. Real Numbers Class 10
- NCERT Solutions And Textual questions Answers Class 10 Mathematics
- Extra NCERT Book questions Answers Class 10 Mathematics
- Importatnt key points with additional Assignment and questions bank solved.

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### Key Points and Introduction class 10 Mathematics Chapter 1. Real Numbers

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## 1. Real Numbers

### | Key Points and Introduction |

## Key Points and Introduction Class 10 maths 1. Real Numbers - CBSE Notes - Toppers Study

### 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:

##### Other Pages of this Chapter: 1. Real Numbers

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