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Class 10 Maths Chapter 1 – Real Numbers | NCERT & Telangana Syllabus 2025

Real Numbers - Class 10 Maths Chapter 1 | Definition, Examples, PDF

📊 Class 10 Maths Chapter 1: Real Numbers (TS & NCERT)

Chapter 1 – Real Numbers is the foundation of Class 10 Mathematics. It is useful for exams like SSC, CBSE, NTSE, and competitive entrance tests.

📘 What are Real Numbers?

All numbers on the number line are real numbers. They include:

  • Rational numbers (like 1/2, -3, 0, 5)
  • Irrational numbers (like √2, π)

Real numbers = Rational + Irrational numbers

📖 Topics Covered in Chapter 1

SectionTopic
1.1Introduction
1.2Euclid’s Division Lemma
1.3Fundamental Theorem of Arithmetic
1.4Irrational Numbers
1.5Decimal Expansions

🔹 Exercise-wise Explanation

✍️ Exercise 1.1Euclid’s Division Lemma

Learn to find HCF using the Euclidean Algorithm. Practice step-by-step division method to solve HCF problems.

✍️ Exercise 1.2Prime Factorization

Understand the Fundamental Theorem of Arithmetic and solve LCM-HCF based questions.

✍️ Exercise 1.3 – Irrational Numbers

Prove numbers like √2, √3 are irrational using contradiction method.

✍️ Exercise 1.4 – Decimal Expansions

Identify if a rational number is terminating or repeating. Apply theorems 1.5, 1.6, and 1.7.

Pro Tip: This chapter is important for both theory and 2-mark proof-based questions.

📗 Download PDF NCERT Solutions

Click the below links to download chapter-wise NCERT solutions for Class 10 Maths Chapter 1 (English & Hindi medium):

❓ FAQs on Real Numbers

Q: What is a real number?
A: Any number that can be plotted on the number line, including rational and irrational numbers.
Q: Is 0 a real number?
A: Yes, zero is a rational number, hence a real number.
Q: How many exercises are in Real Numbers chapter?
A: There are 4 exercises (1.1 to 1.4) in the NCERT textbook.

🚀 Score 100/100 in Maths – Tips

  • Practice all solved and unsolved problems.
  • Revise formulas regularly.
  • Attempt model papers and mock tests.

📲 Download Class 10 Maths App (Free)

Study offline, get chapter-wise NCERT solutions, video lectures, and practice tests. 100% FREE!

Visit: www.sveducations.com for more educational content, quizzes, PDFs and mock tests!

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