Real and Complex Numbers

Punjab Board > Class 9 > Math (Total Videos: 567)

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Chapter 2: Real and Complex Numbers (130 videos)   (Practice Test)
2.1: Real Numbers  (Practice Test)
  1. Introduction to Real Numbers
  2. Problem-Introduction to Real Numbers
  3. Introduction to Rational Numbers
  4. Problem 1: Introduction to Rational Numbers
  5. Introduction to Irrational Numbers
  6. Problem 1: Introduction to Irrational Numbers
  7. Presenting Rational Numbers on Number Line
  8. Problem-Decimal Representation of Rational Number
  9. Representation of Irrational Number on Number Line
  10. Problem-Representation of Irrational Number on Number line
  11. Decimal Representation of Rational Number
  12. Problem 1-Decimal Representation of Rational Number
  13. Decimal Representation of Irrational Number
  14. Problem-Decimal Representation of Irrational Number
2.2: Properties of Real Numbers  (Practice Test)
  1. Closure Law of Rational Numbers
  2. Commutative Law
  3. Commutative law under Subtration and Division
  4. Problem-Commutative Law
  5. Associative Law
  6. Associative law of Subtraction and Division
  7. Problem-Associative Law
  8. Problem 1: Associative Law
  9. Additive Identity & Additive Inverse
  10. Problem-Additive Identity & Additive Inverse
  11. Problem 1: Additive Identity & Additive Inverse
  12. Multiplicative Identity & Inverse
  13. Problem-Multiplicative Identity & Inverse
  14. Problem 1: Multiplicative Identity & Inverse
  15. Distributive Law
  16. Distributive Property of Multiplication over Subtraction
  17. Problem-Distributive Law
  18. Problem 1: Distributive Law
  19. Problem 1: Distributive law of Multiplication over Subtraction
  20. Reflexive And Symmetric Property of Equality
  21. Problem-Reflexive And Symmetric Property of Equality
  22. Transitive Property of Equality
  23. Problem-Transitive Property of Equality
  24. Problem 1: Transitive Property of Equality
  25. Additive Property of Equality
  26. Problem-Additive Property of Equality
  27. Multiplicative Property of Equality
  28. Problem-Multiplicative Property of Equality
  29. Cancellation Property of Equality
  30. Problem 1: Cancellation Property of Equality
  31. Trichotomy Property of Inequality
  32. Problem-Trichotomy Property of Inequality
  33. Problem 1: Trichotomy Property of Inequality
  34. Transitive Property of Inequality
  35. Problem-Transitive Property of Inequality
  36. Problem 1: Transitive Property of Inequality
  37. Additive Property of Inequality
  38. Problem-Additive Property of Inequality
  39. Multiplicative Property of Inequality
  40. Problem-Multiplicative Property of Inequality
  41. Problem 1: Multiplicative Property of Inequality
  42. Inequality Multiplicative Inverse
  43. Problem-Inequality Multiplicative Inverse
2.3: Radicals and Radicands  (Practice Test)
  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. Properties of qth Root of x
  7. Problem 1: qth Root of x
  8. 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  (Practice Test)
  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  (Practice Test)
  1. Complex Number Introduction
  2. Problem-Complex Number Introduction
  3. Problem 1: Complex Number Introduction
  4. Definition of Complex Number
  5. Problem-Definition of Complex Number
  6. Conjugate of Complex Number
  7. Problem 1: Conjugate of Complex Number
  8. Problem 2: Conjugate of Complex Number
  9. Problem-Conjugate of Complex Number
  10. Equality of Complex Number
  11. Problem 1: Equality of Complex Number
  12. Problem-Equality of Complex Number
  13. Properties of Complex Number
  14. Problem 1: Properties of Complex Number
  15. Problem-Properties of Complex Number
  16. Reflexive & Symmetric Law of Complex Number
  17. Problem 1: Reflexive & Symmetric Law of Complex Number
  18. Problem-Reflexive & Symmetric Law of Complex Number
  19. Transitive Law of Complex Number
  20. Problem 1: Transitive Law of Complex Number
  21. Problem-Transitive Law of Complex Number
2.6: Basic Operations on Complex Numbers  (Practice Test)
  1. Addition of Complex Number
  2. Problem 1: Addition of Complex Number
  3. Problem-Addition of Complex Number
  4. Multiplication of Complex with Scalar Numbers
  5. Problem 1: Multiplication of Complex with Scalar Numbers
  6. Problem-Scalar Multiplication of Complex Numbers
  7. Multiplication of Complex Numbers
  8. Problem 1: Multiplication of Complex Numbers
  9. Problem-Multiplication of Complex Numbers
  10. Subtraction of Complex Numbers
  11. Problem 1: Subtraction of Complex Numbers
  12. Problem-Subtraction of Complex Numbers
  13. Division of Complex Numbers
  14. Problem 1: Division of Complex Numbers
  15. Problem-Division of Complex Numbers
  16. Division Property of Complex Numbers
  17. Problem-Expressing complex number in standard form
  18. Problem-Division Property of Complex Numbers
  19. Real and Complex Numbers-Review-Exercise-2-Question 1
  20. Real and Complex Numbers-Review-Exercise-2-Question 2 to Question 3 p
  21. Real and Complex Numbers-Review-Exercise-2-Question 3 to 7