Videos for Balochistan Board 11th Math Chapter 1: Numbers Systems - Sabaq Foundation

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Chapter 1: Numbers Systems (145 videos)  (Practice Test)
1.1: The Real Number Systems  (Practice Test)
  1. Introduction to Real Numbers
  2. Problem-Introduction to Real Numbers
  3. Depiction of Real Number on Number Line
1.2: Properties of Real Numbers  (Practice Test)
  1. Closure Law of Rational Numbers
  2. Closure law of Rational Numbers Subtraction and Division
  3. Problem-Closure Law of Rational Numbers
  4. Problem 1: Closure Law of Rational Numbers
  5. Closure law of Irrational Numbers Addition and Subtraction
  6. Closure law of Irrational Numbers Multiplication and Division
  7. Commutative Law
  8. Commutative law under Subtration and Division
  9. Problem-Commutative Law
  10. Associative Law
  11. Associative law of Subtraction and Division
  12. Problem-Associative Law
  13. Problem 1: Associative Law
  14. Additive Identity & Additive Inverse
  15. Problem-Additive Identity & Additive Inverse
  16. Problem 1: Additive Identity & Additive Inverse
  17. Multiplicative Identity & Inverse
  18. Problem-Multiplicative Identity & Inverse
  19. Problem 1: Multiplicative Identity & Inverse
  20. Distributive Law
  21. Distributive Property of Multiplication over Subtraction
  22. Problem-Distributive Law
  23. Problem 1: Distributive Law
  24. Problem 1: Distributive law of Multiplication over Subtraction
  25. Trichotomy Property of Inequality
  26. Problem-Trichotomy Property of Inequality
  27. Problem 1: Trichotomy Property of Inequality
  28. Reflexive And Symmetric Property of Equality
  29. Problem-Reflexive And Symmetric Property of Equality
  30. Transitive Property of Equality
  31. Problem-Transitive Property of Equality
  32. Problem 1: Transitive Property of Equality
  33. Additive Property of Equality
  34. Problem-Additive Property of Equality
  35. Multiplicative Property of Equality
  36. Problem-Multiplicative Property of Equality
  37. Cancellation Property of Equality
  38. Problem-Cancellation Property of Equality
  39. Problem 1: Cancellation Property of Equality
  40. Density Property
  41. Problem-Density Property
  42. Archimedian Property of Inequality
  43. Problem-Transitive Property of Inequality
  44. Problem 1: Transitive Property of Inequality
  45. Additive Property of Inequality
  46. Problem-Additive Property of Inequality
  47. Multiplicative Property of Inequality
  48. Problem 1: Multiplicative Property of Inequality
  49. Inequality Multiplicative Inverse
  50. Problem-Inequality Multiplicative Inverse
  51. Indeterminate Form
  52. Golden Rule of Fractions
  53. Principle of Equality of Fractions
  54. Rule for Quotient of Fractrions
1.3: Rational and Irrational Numbers  (Practice Test)
  1. Presenting Rational Numbers on Number Line
  2. Problem-Decimal Representation of Rational Number
  3. Presenting Irrational Numbers on Number Line
  4. Problem-Decimal Representation of Irrational Number
  5. Problem 1: Presenting Irrational Numbers on Number Line
  6. Proving Square Root of Prime Number is Irrational Number
  7. Problem-Proving Square Root of Prime Number is Irrational Number
1.4: 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 1: Definition of Complex Number
  6. Problem-Definition of Complex Number
  7. Complex Numbers as Ordered Pairs of Real Numbers
  8. Conjugate of Complex Number
  9. Problem 1: Conjugate of Complex Number
  10. Problem 2: Conjugate of Complex Number
  11. Problem-Conjugate of Complex Number
  12. Equality of Complex Number
  13. Problem 1: Equality of Complex Number
  14. Problem-Equality of Complex Number
  15. Addition of Complex Number
  16. Problem 1: Addition of Complex Number
  17. Problem-Addition of Complex Number
  18. Multiplication of Complex with Scalar Numbers
  19. Problem 1: Multiplication of Complex with Scalar Numbers
  20. Problem-Scalar Multiplication of Complex Numbers
  21. Multiplication of Complex Numbers
  22. Problem 1: Multiplication of Complex Numbers
  23. Problem-Multiplication of Complex Numbers
  24. Subtraction of Complex Numbers
  25. Problem 1: Subtraction of Complex Numbers
  26. Problem-Subtraction of Complex Numbers
  27. Division of Complex Numbers
  28. Problem 1: Division of Complex Numbers
  29. Problem-Division of Complex Numbers
  30. Division Property of Complex Numbers
  31. Problem 1: Division Property of Complex Numbers
  32. Problem-Division Property of Complex Numbers
1.5: Properties of Complex Numbers  (Practice Test)
  1. Conjugate of Complex Number
  2. Problem 1: Conjugate of Complex Number
  3. Problem 2: Conjugate of Complex Number
  4. Problem-Conjugate of Complex Number
  5. Properties of Complex Number
  6. Problem 1: Properties of Complex Number
  7. Problem-Properties of Complex Number
  8. Reflexive & Symmetric Law of Complex Number
  9. Problem 1: Reflexive & Symmetric Law of Complex Number
  10. Problem-Reflexive & Symmetric Law of Complex Number
  11. Transitive Law of Complex Number
  12. Problem 1: Transitive Law of Complex Number
  13. Problem-Transitive Law of Complex Number
  14. Commutative Property of Complex Numbers
  15. Problem-Commutative Property of Complex Numbers
  16. Associative Property of Complex Numbers
  17. Problem-Associative Property of Complex Numbers
  18. The Distributive Property of Complex Numbers
  19. Problem-The Distributive Property of Complex Numbers
  20. Additive Identity and Multiplicative Identity of Complex Numbers
  21. Problem-Additive Identity and Multiplicative Identity of Complex Numb
  22. Additive Inverse and Multiplicative Inverse of Complex Numbers
  23. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
  24. Solution of Simultaneous Linear Equations with Complex Co-efficients
  25. Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
  26. Expression of the Polynomial P ( z ) as a Product of Linear Factors
  27. Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
  28. Quadratic Equation of Complex Variables
  29. Problem-Quadratic Equation of Complex Variables
  30. Modulus of Complex Number
  31. Problem-Modulus of Complex Number
  32. Theorems on Complex Number
  33. Problem-Theorems on Complex Number
  34. More on Theorems on Complex Numbers
  35. Vector Interpretation of Complex Numbers
  36. Problem-Vector Interpretation of Complex Numbers
  37. The Triangle Inequality
  38. Problem-The Triangle Inequality
1.6: Geometrical Representation of Complex Numbers By Argand Diagram
  1. Argand Diagram
  2. Problem-Argand Diagram
1.7: Polar Form of a Complex Number  (Practice Test)
  1. Polar Form of a Complex Number
  2. Problem-Polar Form of a Complex Number
  3. Problem2-Polar Form of a Complex Number
  4. Properties of the Arguments
  5. Problem-Properties of the Arguments
  6. Formula for Finding the Principal Argument
  7. Problem-Formula for Finding the Principal Argument
  8. Real and Imaginary parts of Expression of Power n
  9. Problem-Real and Imaginary parts of Expression of Power n
 

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