Real numbers for 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
- 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 ≤ 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 from Class 10 Real Numbers
A Few Important Points:
Articles Related to Real Numbers
|Euclid’s Division Lemma||Fundamental Theorem Of Arithmetic|
|Operations On Real Numbers||NCERT Solutions Class 10 Maths Real Numbers|
|Revision Notes For CBSE Class 10 Maths Chapter 1 Real Numbers||Important Questions from Class 10 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.