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Class 9 Maths | Number Systems | Real Numbers & Decimal Expansions | Terminating & Non-Terminating Decimals | Faiz Sir 📚 Class 9 | NCERT Maths | Chapter 1 – Number Systems By Faiz Sir, M.Sc. Maths with CS – Infinix Classes इस वीडियो में हम पढ़ेंगे Real Numbers and their Decimal Expansions और समझेंगे: Example 5: Find decimal expansions of 10 3 , 7 8 , 1 7 3 10 , 8 7 , 7 1 Terminating और Non-Terminating Decimals का अंतर Example 6: Show that 3.142678 is a rational number → 𝑝 / 𝑞 p/q form में convert करना Example 7: 0.3333... = 0. 3 ‾ 0.3333...=0. 3 को 𝑝 / 𝑞 p/q form में express करना ✨ यह वीडियो आपको decimal expansions के सारे concepts clear करेगा और exam के लिए perfect preparation देगा। 📌 Class 9 NCERT Maths Full Playlist: [Link] 📌 Subscribe for more Class 9 & 10 Maths tricks and concepts! #Class9Maths #NumberSystems #DecimalExpansion #TerminatingDecimals #NonTerminatingDecimals #RationalNumbers #NCERTMaths #FaizSir #InfinixClasses #MathsShorts #Class9 #MathsTricks #boardexampreparation #class9thmaths #mathsbyfaizsir #infinixclasses #viralvideos #numbersystem #realnumbers #rationalnumbers #irrational_number 👨🏫 In class 9, the number system topic introduces students to different types of numbers and their properties. Key concepts include natural numbers, whole numbers, integers, rational numbers, and irrational numbers, along with their representations on the number line and in decimal form (terminating and non-terminating). The chapter also covers operations on real numbers and their properties. 👨🏫 Key topics covered in the number system for class 9: 📚 Natural Numbers (N): These are the counting numbers starting from 1 (1, 2, 3, ...). 📚 Whole Numbers (W): Whole numbers include natural numbers and zero (0, 1, 2, 3, ...). 📚 Integers (Z): Integers encompass both positive and negative whole numbers, including zero (-3, -2, -1, 0, 1, 2, 3, ...). 📚 Rational Numbers (Q): These can be expressed as a fraction p/q, where p and q are integers and q is not zero (e.g., 1/2, -3/4, 5, -7, 0). 📚Real Numbers (R): This set includes all rational and irrational numbers, which can be plotted on a number line. 📚 Irrational Numbers: Numbers that cannot be expressed as a simple fraction (e.g., √2, π). 📚 Decimal Representation: Understanding terminating (e.g., 1.5) and non-terminating decimals (e.g., 0.333...), including recurring (repeating) and non-recurring decimals. 📚 Operations on Real Numbers: Addition, subtraction, multiplication, and division of real numbers, including those involving square roots. 📚 Properties of Real Numbers: Closure, commutative, associative, distributive properties, etc. 📚 Euclid's Division Lemma: A fundamental concept used in finding the Highest Common Factor (HCF) of two numbers. 📚 Fundamental Theorem of Arithmetic: Every composite number can be uniquely expressed as a product of primes.