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Ch#2-Class 9th/Matric/SSC-I Mathematics Notes Download Free (FBISE Islamabad) and Other Boards in shape of Video Lectures in Urdu Language

Chapter 2: Real and Complex Numbers (94 videos)

2.1: Real Numbers

  1. Introduction to Real Numbers
  2. Introduction to Rational Numbers
  3. Problem 1: Introduction to Rational Numbers
  4. Introduction to Irrational Numbers
  5. Problem 1: Introduction to Irrational Numbers
  6. Presenting Rational Numbers on Number Line
  7. Presenting Irrational Numbers on Number Line
  8. Problem 1: Presenting Irrational Numbers on Number Line
  9. Decimal Representation of Rational Number
  10. Problem 1: Decimal Representation of Rational Number
  11. Decimal Representation of Irrational Number

2.2: Properties of Real Numbers

  1. Closure Law of Rational Numbers
  2. Problem 1: Closure Law of Rational Numbers
  3. Commutative Law
  4. Associative Law
  5. Problem 1: Associative Law
  6. Additive Identity & Additive Inverse
  7. Problem 1: Additive Identity & Additive Inverse
  8. Multiplicative Identity & Inverse
  9. Problem 1: Multiplicative Identity & Inverse
  10. Distributive Law
  11. Problem 1: Distributive Law
  12. Reflexive And Symmetric Property of Equality
  13. Transitive Property of Equality
  14. Problem 1: Transitive Property of Equality
  15. Additive Property of Equality
  16. Multiplicative Property of Equality
  17. Cancellation Property of Equality
  18. Problem 1: Cancellation Property of Equality
  19. Trichotomy Property of Inequality
  20. Problem 1: Trichotomy Property of Inequality
  21. Transitive Property of Inequality
  22. Problem 1: Transitive Property of Inequality
  23. Additive Property of Inequality
  24. Multiplicative Property of Inequality
  25. Problem 1: Multiplicative Property of Inequality
  26. Inequality Multiplicative Inverse

2.3: Radicals and Radicands

  1. Square Root
  2. Problem 1: Square Root
  3. Properties of Square Root
  4. Problem 1: Properties of Square Root
  5. More on Properties of Square Root
  6. qth Root of x
  7. Problem 1: qth Root of x
  8. Properties of qth Root of x
  9. Problem 1: Properties of qth Root of x
  10. Rational Exponents
  11. Problem 1: Rational Exponents
  12. Properties of Rational Exponents
  13. Problem 1: Properties of Rational Exponents
  14. Proof of x Raise to Power Zero Equals One
  15. Problem 1: Proof of x Raise to Power Zero Equals One
  16. Transformation of Radical & Exponential Form
  17. Problem 1: Transformation of Radical & Exponential Form

2.4: Laws of Exponents/Indices

  1. Exponent or Index Definition
  2. Problem 1: Exponent or Index Definition
  3. Law of Sum of Power of Exponents
  4. Problem 1: Law of Sum of Power of Exponents
  5. Law of Power of Product of Exponent
  6. Problem 1: Law of Power of Product of Exponent
  7. Law of Power of Power of Exponent
  8. Problem 1: Law of Power of Power of Exponent
  9. Law of Quotient of Power with Same Base
  10. Problem 1: Law of Quotient of Power with Same Base
  11. Law of Power of a Fraction
  12. Problem 1: Law of Power of a Fraction
  13. Applications of Laws of Exponents
  14. Problem 1: Applications of Laws of Exponents

2.5: Complex Numbers

  1. Complex Number Introduction
  2. Problem 1: Complex Number Introduction
  3. Definition of Complex Number
  4. Problem 1: Definition of Complex Number
  5. Conjugate of Complex Number
  6. Problem 1: Conjugate of Complex Number
  7. Equality of Complex Number
  8. Problem 1: Equality of Complex Number
  9. Properties of Complex Number
  10. Problem 1: Properties of Complex Number
  11. Reflexive & Symmetric Law of Complex Number
  12. Problem 1: Reflexive & Symmetric Law of Complex Number
  13. Transitive Law of Complex Number
  14. Problem 1: Transitive Law of Complex Number

2.6: Basic Operations on Complex Numbers

  1. Addition of Complex Number
  2. Problem 1: Addition of Complex Number
  3. Multiplication of Complex with Scalar Numbers
  4. Problem 1: Multiplication of Complex with Scalar Numbers
  5. Multiplication of Complex Numbers
  6. Problem 1: Multiplication of Complex Numbers
  7. Subtraction of Complex Numbers
  8. Problem 1: Subtraction of Complex Numbers
  9. Division of Complex Numbers
  10. Problem 1: Division of Complex Numbers
  11. Division Property of Complex Numbers
  12. Problem 1: Division Property of Complex Numbers

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