Class 10 maths: Real numbers-full chapter summary in hindi -english

<h2>Class 10 Maths – Chapter 1: Real Numbers (Summary)</h2>

<p><strong>📘 Topic:</strong> Real Numbers</p>

<p><strong>📚 Class:</strong> 10th (CBSE)</p>

<p><strong>📅 Updated:</strong> August 2025</p>

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<h3>🔹 Introduction</h3>

<p>Real numbers include both rational and irrational numbers. In this chapter, we study:</p>

<ul>

<li>Euclid's Division Lemma</li>

<li>Fundamental Theorem of Arithmetic</li>

<li>HCF and LCM using prime factorization</li>

<li>Irrational Numbers & their properties</li>

<li>Decimal Expansions of Rational Numbers</li>

</ul>

<h3>🔹 Key Formulas:</h3>

<ul>

<li><strong>Euclid's Division Lemma:</strong> For any two integers a and b, a = bq + r (where 0 ≤ r < b)</li>

<li><strong>LCM × HCF = Product of Two Numbers</strong></li>

</ul>

<h3>🔹 Quick Revision Chart (Canva Image below)</h3>

<h3>🔹 Practice Questions:</h3>

<ol>

<li>Find the HCF of 120 and 135 using Euclid’s Algorithm.</li>

<li>Prove that √5 is irrational.</li>

<li>Check whether 7×11×13 + 13 is a composite number.</li>

</ol>

<h3>📌 Download:</h3>

<p><a href="PUT_PDF_LINK_HERE" target="_blank">📄 Real Numbers Summary PDF (Free Download)</a></p>

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