Class9 GanitaManjari Part1 Chapter3 Page57 DecimalExpansion Terminating NonTerminating MathsKaSchool

decimal expansion of rational numbers class 9, terminating and non terminating repeating decimals class 9, how to predict terminating decimal expansion, Ganita Manjari Part 1 Chapter 3 Page 57, prime factors of denominator terminating decimal, Class 9 rational numbers decimal expansion hindi english, 3 by 20 terminating decimal example, p by q terminating decimal prime factors 2 and 5, Maths ka School Class 9 Chapter 3 decimal Decimal Expansion of Rational Numbers — Terminating & Non-Terminating Repeating | Class 9 Ganita Manjari Chapter 3 Page 57 | Maths ka School क्या आप जानते हैं कि किसी भी Rational Number का Decimal Expansion देखकर पहले ही predict किया जा सकता है कि वो Terminating होगा या Non-Terminating Repeating? In this video, we explain exactly how to do that — in simple Hindi and English — using prime factorisation of the denominator. Perfect for Class 9 students following the new NCERT Ganita Manjari Part 1 under NEP 2020. ━━━━━━━━━━━━━━━━━━━━━━━━ 📚 Topics Covered in This Video (Section 3.6.1 & Predicting Decimal Expansion — Page 57) ━━━━━━━━━━━━━━━━━━━━━━━━ What is a Terminating Decimal? — division leaves remainder 0, decimal stops Example 2: 3/8 = 0.375 — Terminating Decimal explained step by step What is a Non-Terminating Repeating Decimal? — digits loop infinitely Example 3: 5/11 = 0.454545… = 0.4̄5̄ — Repeating Decimal explained Think and Reflect: Decimal expansions of 10/3 and 11/12 — what do you observe? Predicting the Type of Decimal Expansion WITHOUT doing long division Using Prime Factorisation of the Denominator to predict the type p/q in lowest terms — p and q have no common factor other than 1 Example: 3/20 — Prime factorisation of 20 = 2² × 5 → Terminating Decimal Step-by-step: 3/20 = 3/(2²×5) = (3×5)/(2²×5×5) = 15/100 = 0.15 Think and Reflect: Decimal expansion of p/q is terminating ONLY when prime factors of q are only 2, only 5, or both 2 and 5 ━━━━━━━━━━━━━━━━━━━━━━━━ 📖 Book & Chapter Details ━━━━━━━━━━━━━━━━━━━━━━━━ 📗 Book: Ganita Manjari Part 1 (Class 9 — New NCERT under NEP 2020) 📌 Chapter: Chapter 3 — The World of Numbers 📄 Page: Page 57 🏫 Section: 3.6.1 Rational Decimals: Terminating and Repeating ━━━━━━━━━━━━━━━━━━━━━━━━ ⏱️ Timestamps ━━━━━━━━━━━━━━━━━━━━━━━━ 0:00 — Introduction: Decimal Expansion of Rational Numbers 1:30 — Section 3.6.1: Terminating Decimals explained 3:00 — Example 2: 3/8 = 0.375 (Terminating) 5:00 — Non-Terminating Repeating Decimals explained 6:30 — Example 3: 5/11 = 0.45̄ (Repeating) 8:00 — Think and Reflect: 10/3 and 11/12 9:30 — Predicting the Type of Decimal Expansion 11:00 — Prime Factorisation Method — p/q in lowest terms 12:30 — Example: 3/20 = 0.15 (Step-by-step) 13:45 — Think and Reflect: When is p/q Terminating? 14:20 — Summary & Key Rule to Remember ━━━━━━━━━━━━━━━━━━━━━━━━ 🏫 About Maths ka School ━━━━━━━━━━━━━━━━━━━━━━━━ Maths ka School is a bilingual (Hindi + English) YouTube channel for Class 6 to 10 students. We follow the new NCERT textbooks introduced under NEP 2020 and explain every concept and question step by step in the simplest way possible. 👍 Like | 💬 Comment your doubt | 🔔 Subscribe for new videos ━━━━━━━━━━━━━━━━━━━━━━━━ #DecimalExpansion #TerminatingDecimal #NonTerminatingRepeating #RationalNumbers #Class9Maths #GanitaManjari #Chapter3 #WorldOfNumbers #MathsKaSchool #NCERTClass9 #NEP2020 #PrimeFactorisation #MathsInHindi #BilingualMaths #HindiMediumMaths #Class9RationalNumbers #GanitaManjariPart1 #DecimalExpansionClass9 #TerminatingVsRepeating #MathsKaSchoolClass9