Class 10th - Real Numbers One Shot 🔥| Class 10 Maths Chapter 1 | MP Board Wallah
MP board 9th & 10th
0:00 / 0:00
Class 10th - Real Numbers One Shot 🔥| Class 10 Maths Chapter 1 | MP Board Wallah
5 860 просмотров · 4 месяца назад
MP board 9th & 10th
19 тыс. подписчиков
5 860 просмотров · 4 месяца назад
Class 10th - Real Numbers One Shot 🔥| Class 10 Maths Chapter 1 | MP Board Wallah | By Abhinav Sir
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In this power-packed One Shot Session, Abhinav Sir will cover Chapter 1 - Real Numbers for Class 10th Maths in a simple and exam-oriented way.
If you're preparing for MP Board Exams, this session will help you understand all important concepts, formulas, and questions from the chapter in one place.
📚 What You'll Learn in This Session:
✅ Euclid's Division Lemma
✅ Fundamental Theorem of Arithmetic
✅ HCF & LCM Based Questions
✅ Irrational and Rational Numbers
✅ Decimal Expansion of Real Numbers
✅ Important Board Questions
✅ Previous Year Questions (PYQs)
✅ Complete Chapter Revision
👉 Don't forget to Like, Share and Subscribe to MP Board Wallah for more One Shot Lectures, Board Preparation Videos, PYQs and Exam Strategies.
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00:00: Introduction to the "One Shot" series and Chapter 1: Real Numbers.
01:13: Overview of topics to be covered (Numbers, Real Numbers, Rational/Irrational, Fundamental Theorem of Arithmetic).
02:30: Prime Numbers – Definition (only two factors: 1 and itself) and examples.
04:50: Even and Odd Numbers – Definitions and identification.
06:22: Composite Numbers – Numbers with more than two factors.
07:46: Special Case: Number 1 – Why it is neither prime nor composite (Unique Number).
08:35: Quick Check: Identifying Prime vs. Composite numbers.
09:55: Natural Numbers (N) – Starting from 1 to infinity.
11:00: Number Line – Explanation of horizontal lines and locating numbers.
12:18: Whole Numbers (W) – Starting from 0 to infinity (0 + Natural Numbers).
14:03: Integers (Z/I) – Inclusion of positive, zero, and negative values.
16:10: Plotting Integers on a Number Line.
17:41: Key Points & Relationships – Comparing Natural, Whole, and Integer sets.
19:46: Summary Table of Number Sets.
20:53: Real Numbers (R) – The union of Rational and Irrational numbers.
23:25: Rational Numbers (Q) – Definition (p/q form where q ≠ 0) and properties.
28:05: Decimal Forms of Rational Numbers – Terminating vs. Non-terminating Repeating decimals.
32:06: Quick Recap of Rational Number properties.
35:46: Irrational Numbers (Q') – Definition (cannot be written as p/q) and Non-terminating Non-repeating decimals.
41:14: Roots and Non-perfect Squares as Irrational Numbers.
44:10: Quick Comparison Table – Real, Rational, and Irrational numbers.
45:18: Summary Key Points for all number types.
46:30: Fundamental Theorem of Arithmetic – Expressing composite numbers as products of primes.
48:00: Example: Prime Factorization of 15 and 8190.
51:11: Theorem: If p divides a², then p divides a.
52:32: Relationship between HCF and LCM – Formula: HCF(a,b) × LCM(a,b) = a × b.
54:21: Verification/Proof of the HCF-LCM relationship with examples (4 and 8).
57:44: Practice Questions (MCQs):
05:50 - Identifying number groups.
57:56 - Smallest natural number.
58:08 - Identifying prime numbers.
58:53 - Application of the Fundamental Theorem of Arithmetic.
59:02 - Prime factors of 140.
59:38 - Finding LCM of 12, 15, and 18.
01:00:52: Proving Irrationality – Step-by-step logic for proving √2 is irrational.
01:02:32: Final Summary and Homework instructions.
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