Real Numbers Class 10 Notes Maths Chapter 1

CBSE Class 10 Maths Notes Chapter 1 Real Numbers are the resource created by the experienced team of Subject Experts at GfG for the benefit of the students. The team at GfG are the well-wishers of students and always put the benefit of students and leaner first and create beneficial content in the form of articles. The result of which are these Notes, which are the comprehensive summary of the completer chapter and includes all the important topics in the chapter. 

Chapter 1 of the CBSE Class 10 Maths is Real Numbers which takes students further in the journey of Real Numbers as previous classes already introduced this topic and cleared the definition. In this chapter, students learn about proof specifically a method of proof that is called proof by contradiction. Other than this, HCF, LCM, Euclid Division Algorithm, and the Fundamental Theorem of Arithmetic are some of the topics which are covered in these notes.

Important Topics in CBSE Notes for Class 10 Chapter 1- Real Numbers 

• Euclid’s Division Algorithm (lemma): Euclid’s Division Lemma states if we have two positive integers a and b, then there exist unique integers q and r such that a = bq + r, where 0 ≤ r ≤ b. 

Note: Here, a is the dividend, b is the divisor, q is the quotient, and r is the remainder.

• Fundamental theorem of arithmetic which tells us that how all the composite number can be factorized 
• HCF and LCM by prime factorization method:
  • HCF (Highest Common Factor) = Product of the smallest power of each common factor in the numbers
  • LCM (Lowest Common Multiple) = Product of the greatest power of each prime factor involved in the number
  • HCF (a,b) × LCM (a,b) = a × b

Related Resources

• Class 10 NCERT Solutions Maths 
• Class 10 RD Sharma Solutions Real Numbers
• All Class 10 Maths Formulas

FAQs on CBSE Notes for Class 10 Maths Chapter 1 Real Numbers

Q1: What is Class 10 Maths Chapter 1 about?

Answer:

Chapter 1 of Class 10 Maths is Real Numbers which explains the various further then fundamental concepts about the Real Number such as Euclid Division Algorithm, Fundamental Theorem of Airthamatic, HCF, LCM and many more.

Q2: Why are notes on Real Numbers important?

Answer:

These notes helps students quickly revise the complete chapter in no time as these notes are very comprehensive.

Q3: Are these notes suitable for all types of learners?

Answer:

Yes, these notes are suitable for all types of learners. As these notes are written in a very laymen-friendly language with no use of complex jargon. All the math terms with complex names are well explained as well.

Q4: Can these notes be used as a substitute for the textbook?

Answer:

No, these notes can’t replace your textbooks. We designed and created these notes to be the supplement for your textbook.

Q5: Is there any cost to access the notes?

Answer:

No, there is no cost associated with these notes, these notes are available for free to access on the Geeksforgeeks portal.