# Real Numbers Class 10 Notes: Chapter 1

Real numbers class 10 notes i.e. for chapter 1 are provided here in a simple, concise, and easy to understand way. This chapter 1 notes can help class 10 students to learn about real numbers easily and will also help to revise the concepts quickly. The main points that are covered in these notes are-

• What are Real Numbers?
• Euclid’s Division Lemma
• Euclid’s Division Algorithm
• The Fundamental Theorem of Arithmetic
• Examples
• Practice Questions

## What are Real Numbers?

Real numbers can be defined as the combination of all the rational numbers and all the irrational numbers. Any number be it positive, negative, decimals, fraction, or natural are real numbers which is denoted by the letter “R”.

### Euclid’s Division Lemma

Euclid’s Division Lemma is defined as “for a given positive integer a and b, there exist unique integers q and r satisfying $[a = bq+ r, 0 \leq r < b]$. An example is given below which will explain this concept better.

### The Fundamental Theorem of Arithmetic

This theorem states that “every composite number can be expressed (factorized) as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur.”

An example includes 36 which can be written as 22×32

### Example Question

A Few Important Points:

### Articles Related to Real Numbers

Keep visiting BYJU’S to get more CBSE class 10 notes for maths and science along with several sample papers, questions papers, and other important preparation materials.

#### Practise This Question

Tangent to a circle makes an angle of 45 with the radius at the point of contact.