📊 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
| Section | Topic |
|---|---|
| 1.1 | Introduction |
| 1.2 | Euclid’s Division Lemma |
| 1.3 | Fundamental Theorem of Arithmetic |
| 1.4 | Irrational Numbers |
| 1.5 | Decimal Expansions |
🔹 Exercise-wise Explanation
✍️ Exercise 1.1 – Euclid’s Division Lemma
Learn to find HCF using the Euclidean Algorithm. Practice step-by-step division method to solve HCF problems.
✍️ Exercise 1.2 – Prime 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.
📗 Download PDF NCERT Solutions
Click the below links to download chapter-wise NCERT solutions for Class 10 Maths Chapter 1 (English & Hindi medium):
- Download Exercise 1.1 PDF
- Download Exercise 1.2 PDF
- Download Exercise 1.3 PDF
- Download Exercise 1.4 PDF
❓ FAQs on Real Numbers
A: Any number that can be plotted on the number line, including rational and irrational numbers.
A: Yes, zero is a rational number, hence a real number.
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!
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