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.

Real Numbers For Class 10

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

Real Numbers For Class 10

A Few Important Points:

Real Numbers For Class 10

Articles Related to Real Numbers

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Practise This Question

What is the remainder when 4x43x3+2x2x is divided by x+1?