Real and Complex Numbers

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    Chapter 2 Real and Complex Numbers (128 videos) (Practice Test) (Exercises Exercise Answers)

      2.1: Real Numbers (Practice Test)
      Introduction to Real Numbers
    1. Introduction to Real Numbers
      28676 views
      2. Problem-Introduction to Real Numbers
    2. Problem-Introduction to Real Numbers
      14102 views
      3. Introduction to Rational Numbers
    3. Introduction to Rational Numbers
      4. Problem-Introduction to Rational Numbers
    4. Problem-Introduction to Rational Numbers
      5272 views
      5. Introduction to Irrational Numbers
    5. Introduction to Irrational Numbers
      5860 views
      6. Problem-Introduction to Irrational Numbers
    6. Problem-Introduction to Irrational Numbers
      2647 views
      7. Presenting Rational Numbers on Number Line
    7. Presenting Rational Numbers on Number Line
      13271 views
      8. Decimal Representation of Irrational Number
    8. Decimal Representation of Irrational Number
      2542 views
      9. Problem1-Decimal Representation of Irrational Number
    9. Problem1-Decimal Representation of Irrational Number
      2160 views
      10. Representation of Irrational Number on Number Line
    10. Representation of Irrational Number on Number Line
      5149 views
      11. Problem-Representation of Irrational Number on Number Line
    11. Problem-Representation of Irrational Number on Number Line
      4175 views
      12. Decimal Representation of rational Numbers
    12. Decimal Representation of rational Numbers
      3873 views
      13. Problem-Decimal Representation of Rational Number
    13. Problem-Decimal Representation of Rational Number
      3539 views
      14. Problem 1-Decimal Representation of rational Numbers
    14. Problem 1-Decimal Representation of rational Numbers
      2252 views
      2.2: Properties of Real Numbers (Practice Test)
      More on Closure Law of Rational Numbers
    1. More on Closure Law of Rational Numbers
      1616 views
      2. Problem1-Closure Law of Rational Numbers
    2. Problem1-Closure Law of Rational Numbers
      1226 views
      3. Commutative Law
    3. Commutative Law
      3762 views
      4. Problem-Commutative Law
    4. Problem-Commutative Law
      810 views
      5. Associative Law
    5. Associative Law
      3501 views
      6. More on Associative Law
    6. More on Associative Law
      1447 views
      7. Problem1-Associative Law
    7. Problem1-Associative Law
      638 views
      8. Problem2-Associative Law
    8. Problem2-Associative Law
      1754 views
      9. Additive Identity & Additive Inverse
    9. Additive Identity & Additive Inverse
      3206 views
      10. Problem1-Additive Identity & Additive Inverse
    10. Problem1-Additive Identity & Additive Inverse
      603 views
      11. Problem2-Additive Identity & Additive Inverse
    11. Problem2-Additive Identity & Additive Inverse
      1659 views
      12. Multiplicative Identity & Inverse
    12. Multiplicative Identity & Inverse
      2732 views
      13. Problem1-Multiplicative Identity & Inverse
    13. Problem1-Multiplicative Identity & Inverse
      551 views
      14. Problem2-Multiplicative Identity & Inverse
    14. Problem2-Multiplicative Identity & Inverse
      1519 views
      15. Distributive Law
    15. Distributive Law
      3268 views
      16. More on Distributive Law
    16. More on Distributive Law
      1346 views
      17. Problem1-Distributive Law
    17. Problem1-Distributive Law
      482 views
      18. Problem2-Distributive Law
    18. Problem2-Distributive Law
      1236 views
      19. Problem3- Distributive Law
    19. Problem3- Distributive Law
      518 views
      20. Reflexive and Symmetric Property of Equality
    20. Reflexive and Symmetric Property of Equality
      3326 views
      21. Problem-Reflexive-Symmetric Property of Equality
    21. Problem-Reflexive-Symmetric Property of Equality
      534 views
      22. Transitive Property of Equality
    22. Transitive Property of Equality
      2705 views
      23. Problem1-Transitive Property of Equality
    23. Problem1-Transitive Property of Equality
      445 views
      24. Problem2-Transitive Property of Equality
    24. Problem2-Transitive Property of Equality
      1533 views
      25. Additive Property of Equality
    25. Additive Property of Equality
      2102 views
      26. Problem-Additive Property of Equality
    26. Problem-Additive Property of Equality
      397 views
      27. Multiplicative Property of Equality
    27. Multiplicative Property of Equality
      1806 views
      28. Problem-Multiplicative Property of Equality
    28. Problem-Multiplicative Property of Equality
      363 views
      29. Cancellation Property of Equality
    29. Cancellation Property of Equality
      2032 views
      30. Problem-Cancellation Property of Equality
    30. Problem-Cancellation Property of Equality
      1287 views
      31. Trichotomy Property of Inequality
    31. Trichotomy Property of Inequality
      4220 views
      32. Problem1-Trichotomy Property of Inequality
    32. Problem1-Trichotomy Property of Inequality
      662 views
      33. Problem2-Trichotomy Property of Inequality
    33. Problem2-Trichotomy Property of Inequality
      2442 views
      34. Transitive property of Inequality
    34. Transitive property of Inequality
      3089 views
      35. Problem1-Transitive property of Inequality
    35. Problem1-Transitive property of Inequality
      411 views
      36. Problem2-Transitive property of Inequality
    36. Problem2-Transitive property of Inequality
      1936 views
      37. Additive property of inequality
    37. Additive property of inequality
      2720 views
      38. Problem-Additive property of inequality
    38. Problem-Additive property of inequality
      351 views
      39. Multiplicative Property of Inequality
    39. Multiplicative Property of Inequality
      2736 views
      40. Problem1-Multiplicative Property of Inequality
    40. Problem1-Multiplicative Property of Inequality
      41. Problem2-Multiplicative Property of Inequality
    41. Problem2-Multiplicative Property of Inequality
      1924 views
      42. Inequality multiplicative Inverse
    42. Inequality multiplicative Inverse
      1460 views
      43. Problem-Inequality multiplicative Inverse
    43. Problem-Inequality multiplicative Inverse
      416 views
      2.3: Radicals and Radicands (Practice Test)
      Square Root
    1. Square Root
      4873 views
      2. Problem-Square Root
    2. Problem-Square Root
      1944 views
      3. Properties of Square Root
    3. Properties of Square Root
      2024 views
      4. Problem-Properties of Square Root
    4. Problem-Properties of Square Root
      1303 views
      5. More on Properties of Square Root
    5. More on Properties of Square Root
      1279 views
      6. Properties of qth Root of x
    6. Properties of qth Root of x
      1886 views
      7. Problem-Properties of qth Root of x
    7. Problem-Properties of qth Root of x
      1222 views
      8. qth Root of x
    8. qth Root of x
      923 views
      9. Problem-qth Root of x
    9. Problem-qth Root of x
      1004 views
      10. Introduction to Rational Exponents
    10. Introduction to Rational Exponents
      1708 views
      11. Problem-Introduction to Rational Exponents
    11. Problem-Introduction to Rational Exponents
      1057 views
      12. Properties of rational exponents
    12. Properties of rational exponents
      936 views
      13. Problem-Properties of rational exponents
    13. Problem-Properties of rational exponents
      916 views
      14. Prove of x raise to power zero is one
    14. Prove of x raise to power zero is one
      724 views
      15. Problem-Prove of x raise to power zero is 1
    15. Problem-Prove of x raise to power zero is 1
      638 views
      16. Transformation of Radical & Exponential Form
    16. Transformation of Radical & Exponential Form
      1305 views
      17. Problem-Transforming Radical-Exponential Form
    17. Problem-Transforming Radical-Exponential Form
      1047 views
      2.4: Laws of Exponents/Indices (Practice Test)
      Exponent or Index Definition
    1. Exponent or Index Definition
      5704 views
      2. Problem-Exponent or Index Definition
    2. Problem-Exponent or Index Definition
      2972 views
      3. Law of Sum of Power of Exponents
    3. Law of Sum of Power of Exponents
      3154 views
      4. Problem-Law of Sum of Power of Exponents
    4. Problem-Law of Sum of Power of Exponents
      1855 views
      5. Law of Power of Product of Exponent
    5. Law of Power of Product of Exponent
      3028 views
      6. Problem-Law of Power of Product of Exponent
    6. Problem-Law of Power of Product of Exponent
      1350 views
      7. Law of Power of Power of Exponent
    7. Law of Power of Power of Exponent
      2352 views
      8. Problem-Law of Power of Power of Exponent
    8. Problem-Law of Power of Power of Exponent
      1179 views
      9. Law of Quotient of Power with Same Base
    9. Law of Quotient of Power with Same Base
      2037 views
      10. Problem-Law of Quotient of Power with Same Base
    10. Problem-Law of Quotient of Power with Same Base
      1134 views
      11. Law of Power of a Fraction
    11. Law of Power of a Fraction
      1856 views
      12. Problem-Law of Power of a Fraction
    12. Problem-Law of Power of a Fraction
      1336 views
      13. Applications of Laws of Exponents
    13. Applications of Laws of Exponents
      2191 views
      14. Problem-Applications of Laws of Exponents
    14. Problem-Applications of Laws of Exponents
      1796 views
      2.5: Complex Numbers (Practice Test)
      Complex Number Introduction
    1. Complex Number Introduction
      11996 views
      2. Problem1-Complex Number Introduction
    2. Problem1-Complex Number Introduction
      3596 views
      3. Problem2-Complex Number Introduction
    3. Problem2-Complex Number Introduction
      3844 views
      4. Introduction to Complex Numbers
    4. Introduction to Complex Numbers
      3918 views
      5. Problem2-Definition of Complex Number
    5. Problem2-Definition of Complex Number
      1343 views
      6. Conjugate of Complex Number
    6. Conjugate of Complex Number
      3570 views
      7. Problem1-Conjugate of Complex Number
    7. Problem1-Conjugate of Complex Number
      2298 views
      8. Problem2-Conjugate of Complex Number
    8. Problem2-Conjugate of Complex Number
      1489 views
      9. Problem3-Conjugate of Complex Number
    9. Problem3-Conjugate of Complex Number
      1014 views
      10. Equality of Complex Number
    10. Equality of Complex Number
      2295 views
      11. Problem1-Equality of Complex Number
    11. Problem1-Equality of Complex Number
      1720 views
      12. Problem2-Equality of Complex Number
    12. Problem2-Equality of Complex Number
      770 views
      13. Properties of Complex Number
    13. Properties of Complex Number
      2278 views
      14. Problem1-Properties of Complex Number
    14. Problem1-Properties of Complex Number
      1355 views
      15. Problem2-Properties of Complex Number
    15. Problem2-Properties of Complex Number
      604 views
      16. Reflexive & Symmetric Law of Complex Number
    16. Reflexive & Symmetric Law of Complex Number
      1611 views
      17. Problem1-Reflexive-Symmetric Law of Complex Number
    17. Problem1-Reflexive-Symmetric Law of Complex Number
      1226 views
      18. Problem2-Reflexive & Symmetric Law of Complex Number
    18. Problem2-Reflexive & Symmetric Law of Complex Number
      534 views
      19. Transitive Law of Complex Number
    19. Transitive Law of Complex Number
      1388 views
      20. Problem1-Transitive Law of Complex Number
    20. Problem1-Transitive Law of Complex Number
      1153 views
      21. Problem2-Transitive Law of Complex Number
    21. Problem2-Transitive Law of Complex Number
      478 views
      2.6: Operations on Complex Numbers (Practice Test)
      Addition of Complex Number
    1. Addition of Complex Number
      2981 views
      2. Problem1-Addition of Complex Number
    2. Problem1-Addition of Complex Number
      2446 views
      3. Problem2-Addition of Complex Number
    3. Problem2-Addition of Complex Number
      595 views
      4. Multiplication of Complex with Scalar Numbers
    4. Multiplication of Complex with Scalar Numbers
      2055 views
      5. Problem1-Multiplying Complex Numbers with Scalar
    5. Problem1-Multiplying Complex Numbers with Scalar
      1775 views
      6. Problem2-Scalar Multiplication of Complex Numbers
    6. Problem2-Scalar Multiplication of Complex Numbers
      602 views
      7. Multiplication of Complex Numbers
    7. Multiplication of Complex Numbers
      2194 views
      8. Problem1-Multiplication of Complex Numbers
    8. Problem1-Multiplication of Complex Numbers
      1670 views
      9. Problem2-Multiplication of Complex Numbers
    9. Problem2-Multiplication of Complex Numbers
      568 views
      10. Problem1-Subtraction of Complex Numbers
    10. Problem1-Subtraction of Complex Numbers
      1212 views
      11. Problem2-Subtraction of Complex Numbers
    11. Problem2-Subtraction of Complex Numbers
      506 views
      12. Division of Complex Numbers
    12. Division of Complex Numbers
      2003 views
      13. Problem1-Division of Complex Numbers
    13. Problem1-Division of Complex Numbers
      1732 views
      14. Problem2-Division of Complex Numbers
    14. Problem2-Division of Complex Numbers
      540 views
      15. Division Property of Complex Numbers
    15. Division Property of Complex Numbers
      1543 views
      16. Problem-Expressing complex number in standard form
    16. Problem-Expressing complex number in standard form
      1722 views
      17. Problem2-Division Property of Complex Numbers
    17. Problem2-Division Property of Complex Numbers
      542 views
      18. Real and Complex Numbers-Review-Exercise-2-Question 1 and 2
    18. Real and Complex Numbers-Review-Exercise-2-Question 1 and 2
      19. Real and Complex Numbers-Review-Exercise-2-Question 3 to Question 7
    19. Real and Complex Numbers-Review-Exercise-2-Question 3 to Question 7