Real Numbers

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    Chapter 1 Real Numbers (98 videos) (Exercises Exercise Answers)

      1.1: History of Real Numbers
      Introduction to Real Numbers
    1. Introduction to Real Numbers
      28676 views
      1.2: Introduction to Real Numbers
      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. Decimal Representation of rational Numbers
    7. Decimal Representation of rational Numbers
      3873 views
      8. Problem-Decimal Representation of Rational Number
    8. Problem-Decimal Representation of Rational Number
      3539 views
      9. Problem 1-Decimal Representation of rational Numbers
    9. Problem 1-Decimal Representation of rational Numbers
      2252 views
      10. Decimal Representation of Irrational Number
    10. Decimal Representation of Irrational Number
      2542 views
      11. Problem1-Decimal Representation of Irrational Number
    11. Problem1-Decimal Representation of Irrational Number
      2160 views
      12. Presenting Rational Numbers on Number Line
    12. Presenting Rational Numbers on Number Line
      13271 views
      13. Representation of Irrational Number on Number Line
    13. Representation of Irrational Number on Number Line
      5149 views
      14. Problem-Representation of Irrational Number on Number Line
    14. Problem-Representation of Irrational Number on Number Line
      4175 views
      15. Expressing Rational Numbers as fractions
    15. Expressing Rational Numbers as fractions
      16. Ordering of Rational Numbers
    16. Ordering of Rational Numbers
      1088 views
      17. Adding and Subtracting Rational Numbers
    17. Adding and Subtracting Rational Numbers
      1819 views
      18. Multiplying and Dividing Rational Numbers
    18. Multiplying and Dividing Rational Numbers
      1589 views
      19. Arithmetical Operations on Rational Numbers
    19. Arithmetical Operations on Rational Numbers
      551 views
      20. Problem Solving Involving Rational Numbers
    20. Problem Solving Involving Rational Numbers
      925 views
      21. Integers
    21. Integers
      1330 views
      1.3: Properties of Real numbers
      Closure Law of Whole Numbers
    1. Closure Law of Whole Numbers
      734 views
      2. More on Closure Law of Whole Numbers
    2. More on Closure Law of Whole Numbers
      335 views
      3. Commutative Law
    3. Commutative Law
      3762 views
      4. More on Commutative Law
    4. More on Commutative Law
      1384 views
      5. Problem-Commutative Law
    5. Problem-Commutative Law
      810 views
      6. Associative Law
    6. Associative Law
      3501 views
      7. More on Associative Law
    7. More on Associative Law
      1447 views
      8. Problem1-Associative Law
    8. Problem1-Associative Law
      638 views
      9. Problem2-Associative Law
    9. Problem2-Associative Law
      1754 views
      10. Additive Identity & Additive Inverse
    10. Additive Identity & Additive Inverse
      3206 views
      11. Problem1-Additive Identity & Additive Inverse
    11. Problem1-Additive Identity & Additive Inverse
      603 views
      12. Problem2-Additive Identity & Additive Inverse
    12. Problem2-Additive Identity & Additive Inverse
      1659 views
      13. Multiplicative Identity & Inverse
    13. Multiplicative Identity & Inverse
      2732 views
      14. Problem1-Multiplicative Identity & Inverse
    14. Problem1-Multiplicative Identity & Inverse
      551 views
      15. Problem2-Multiplicative Identity & Inverse
    15. Problem2-Multiplicative Identity & Inverse
      1519 views
      16. Distributive Law
    16. Distributive Law
      3268 views
      17. More on Distributive Law
    17. More on Distributive Law
      1346 views
      18. Problem1-Distributive Law
    18. Problem1-Distributive Law
      482 views
      19. Problem2-Distributive Law
    19. Problem2-Distributive Law
      1236 views
      20. Problem3- Distributive Law
    20. Problem3- Distributive Law
      518 views
      21. Trichotomy Property of Inequality
    21. Trichotomy Property of Inequality
      4220 views
      22. Problem1-Trichotomy Property of Inequality
    22. Problem1-Trichotomy Property of Inequality
      662 views
      23. Problem2-Trichotomy Property of Inequality
    23. Problem2-Trichotomy Property of Inequality
      2442 views
      24. Reflexive and Symmetric Property of Equality
    24. Reflexive and Symmetric Property of Equality
      3326 views
      25. Problem-Reflexive-Symmetric Property of Equality
    25. Problem-Reflexive-Symmetric Property of Equality
      534 views
      26. Transitive Property of Equality
    26. Transitive Property of Equality
      2705 views
      27. Problem1-Transitive Property of Equality
    27. Problem1-Transitive Property of Equality
      445 views
      28. Problem2-Transitive Property of Equality
    28. Problem2-Transitive Property of Equality
      1533 views
      29. Additive Property of Equality
    29. Additive Property of Equality
      2102 views
      30. Problem-Additive Property of Equality
    30. Problem-Additive Property of Equality
      397 views
      31. Multiplicative Property of Equality
    31. Multiplicative Property of Equality
      1806 views
      32. Problem-Multiplicative Property of Equality
    32. Problem-Multiplicative Property of Equality
      363 views
      33. Cancellation Property of Equality
    33. Cancellation Property of Equality
      2032 views
      34. Problem-Cancellation Property of Equality
    34. Problem-Cancellation Property of Equality
      1287 views
      35. Transitive property of Inequality
    35. Transitive property of Inequality
      3089 views
      36. Problem1-Transitive property of Inequality
    36. Problem1-Transitive property of Inequality
      411 views
      37. Problem2-Transitive property of Inequality
    37. Problem2-Transitive property of Inequality
      1936 views
      38. Additive property of inequality
    38. Additive property of inequality
      2720 views
      39. Problem-Additive property of inequality
    39. Problem-Additive property of inequality
      351 views
      40. Multiplicative Property of Inequality
    40. Multiplicative Property of Inequality
      2736 views
      41. Problem1-Multiplicative Property of Inequality
    41. Problem1-Multiplicative Property of Inequality
      42. Problem2-Multiplicative Property of Inequality
    42. Problem2-Multiplicative Property of Inequality
      1924 views
      43. Inequality multiplicative Inverse
    43. Inequality multiplicative Inverse
      1460 views
      44. Problem-Inequality multiplicative Inverse
    44. Problem-Inequality multiplicative Inverse
      416 views
      45. Indeterminate Form
    45. Indeterminate Form
      644 views
      1.4: Radical and Radicands
      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. Squares and Squares Roots
    6. Squares and Squares Roots
      6500 views
      7. Cubes and Cube Roots
    7. Cubes and Cube Roots
      2583 views
      1.5: Laws of Exponents/Indices
      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. Zero and negative indices
    13. Zero and negative indices
      1286 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. Prefixes used in everyday life
    16. Prefixes used in everyday life
      278 views
      17. Using calculator for solving exponents
    17. Using calculator for solving exponents
      275 views
      18. Applications of Laws of Exponents
    18. Applications of Laws of Exponents
      2191 views
      19. Problem-Applications of Laws of Exponents
    19. Problem-Applications of Laws of Exponents
      1796 views
      20. Problem-Applying Laws of Exponents to Evaluate Expressions
    20. Problem-Applying Laws of Exponents to Evaluate Expressions
      412 views
      21. Introduction to Rational Exponents
    21. Introduction to Rational Exponents
      1708 views
      22. Problem-Introduction to Rational Exponents
    22. Problem-Introduction to Rational Exponents
      1057 views
      23. Properties of rational exponents
    23. Properties of rational exponents
      936 views
      24. Problem-Properties of rational exponents
    24. Problem-Properties of rational exponents
      916 views