Real and Complex Numbers

Balochistan Board > Class 9 > Math (Total Videos: 516)

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Chapter 2: Real and Complex Numbers (106 videos)   (Practice Test)
2.1: Real Numbers  (Practice Test)
  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. Decimal Representation of Irrational Number
  8. Problem-Decimal Representation of Irrational Number
  9. Decimal Representation of Rational Number
  10. Problem-Decimal Representation of Rational Number
  11. Problem 1-Decimal Representation of Rational Number
  12. Representation of Irrational Number on Number Line
  13. Problem-Representation of Irrational Number on Number line
2.2: Properties of Real Numbers  (Practice Test)
  1. Closure Law of Rational Numbers
  2. Problem-Closure Law of Rational Numbers
  3. Commutative Law
  4. Associative Law
  5. Problem 1: Associative Law
  6. Additive Identity & Additive Inverse
  7. Problem-Additive Identity & Additive Inverse
  8. Problem 1: Additive Identity & Additive Inverse
  9. Multiplicative Identity & Inverse
  10. Problem-Multiplicative Identity & Inverse
  11. Problem 1: Multiplicative Identity & Inverse
  12. Distributive Law
  13. Problem-Distributive Law
  14. Problem 1: Distributive Law
  15. Problem 1: Distributive law of Multiplication over Subtraction
  16. Reflexive And Symmetric Property of Equality
  17. Transitive Property of Equality
  18. Problem-Transitive Property of Equality
  19. Problem 1: Transitive Property of Equality
  20. Additive Property of Equality
  21. Problem-Additive Property of Equality
  22. Multiplicative Property of Equality
  23. Problem-Multiplicative Property of Equality
  24. Cancellation Property of Equality
  25. Problem 1: Cancellation Property of Equality
  26. Problem-Trichotomy Property of Inequality
  27. Problem 1: Trichotomy Property of Inequality
  28. Transitive Property of Inequality
  29. Problem-Transitive Property of Inequality
  30. Problem 1: Transitive Property of Inequality
  31. Additive Property of Inequality
  32. Problem-Additive Property of Inequality
  33. Multiplicative Property of Inequality
  34. Problem-Multiplicative Property of Inequality
  35. Problem 1: Multiplicative Property of Inequality
  36. Inequality Multiplicative Inverse
  37. 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. qth Root of x
  7. Problem 1: Properties of qth Root of x
  8. Properties of qth Root of x
  9. Problem 1: 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
2.6: Basic Operations on Complex Numbers  (Practice Test)
  1. Addition of Complex Number
  2. Problem 1: Addition of Complex Number
  3. Problem 1: Subtraction of Complex Numbers
  4. Multiplication of Complex with Scalar Numbers
  5. Problem 1: Multiplication of Complex with Scalar Numbers
  6. Multiplication of Complex Numbers
  7. Problem 1: Multiplication of Complex Numbers
  8. Division of Complex Numbers
  9. Problem 1: Division of Complex Numbers
  10. Division Property of Complex Numbers
  11. Problem-Expressing complex number in standard form
  12. Problem-Division Property of Complex Numbers
  13. Real and Complex Numbers-Review-Exercise-2-Question 1 to 3
  14. Real and Complex Numbers-Review-Exercise-2-Question 4 to Q 6 Part 1
  15. Real and Complex Numbers-Review-Exercise-2-Question 6 Part 2 to Q 7