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Real and Complex Numbers
Federal Board > Class 9 > Math (
Total Videos: 567
)
All Chapters
Chapter 1: Matrices and Determinants
Chapter 2: Real and Complex Numbers
Chapter 3: Logarithms
Chapter 4: Algebraic Expressions and Algebraic Formulas
Chapter 5: Factorization
Chapter 6: Algebraic Manipulation
Chapter 7: Linear Equations and Inequalities
Chapter 8: Linear Graphs & Their Application
Chapter 9: Introduction to Coordinate Geometry
Chapter 10: Congruent Triangles
Chapter 11: Parallelograms and Triangles
Chapter 12: Line Bisectors and Angle Bisectors
Chapter 13: Sides and Angles of a Triangle
Chapter 14: Ratio and Proportion
Chapter 15: Pythagoras' Theorem
Chapter 16: Theorems Related with Area
Chapter 17: Practical Geometry-Triangles
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Chapter 2: Real and Complex Numbers (
128 videos
)
  (
Practice Test
)
2.1: Real Numbers(
Practice Test
)
Introduction to Real Numbers
Problem-Introduction to Real Numbers
Introduction to Rational Numbers
Problem 1: Introduction to Rational Numbers
Introduction to Irrational Numbers
Problem 1: Introduction to Irrational Numbers
Presenting Rational Numbers on Number Line
Representation of Irrational Number on Number Line
Problem-Representation of Irrational Number on Number line
Decimal Representation of Rational Number
Problem-Decimal Representation of Rational Number
Problem 1-Decimal Representation of Rational Number
Decimal Representation of Irrational Number
Problem-Decimal Representation of Irrational Number
2.2: Properties of Real Numbers(
Practice Test
)
Commutative Law
Commutative law under Subtration and Division
Problem-Commutative Law
Associative Law
Associative law of Subtraction and Division
Problem-Associative Law
Problem 1: Associative Law
Additive Identity & Additive Inverse
Problem-Additive Identity & Additive Inverse
Problem 1: Additive Identity & Additive Inverse
Multiplicative Identity & Inverse
Problem-Multiplicative Identity & Inverse
Problem 1: Multiplicative Identity & Inverse
Distributive Law
Distributive Property of Multiplication over Subtraction
Problem-Distributive Law
Problem 1: Distributive Law
Problem 1: Distributive law of Multiplication over Subtraction
Reflexive And Symmetric Property of Equality
Problem-Reflexive And Symmetric Property of Equality
Transitive Property of Equality
Problem-Transitive Property of Equality
Problem 1: Transitive Property of Equality
Additive Property of Equality
Problem-Additive Property of Equality
Multiplicative Property of Equality
Problem-Multiplicative Property of Equality
Cancellation Property of Equality
Problem 1: Cancellation Property of Equality
Trichotomy Property of Inequality
Problem-Trichotomy Property of Inequality
Problem 1: Trichotomy Property of Inequality
Transitive Property of Inequality
Problem-Transitive Property of Inequality
Problem 1: Transitive Property of Inequality
Additive Property of Inequality
Problem-Additive Property of Inequality
Multiplicative Property of Inequality
Problem-Multiplicative Property of Inequality
Problem 1: Multiplicative Property of Inequality
Inequality Multiplicative Inverse
Problem-Inequality Multiplicative Inverse
2.3: Radicals and Radicands(
Practice Test
)
Square Root
Problem 1: Square Root
Properties of Square Root
Problem 1: Properties of Square Root
More on Properties of Square Root
Properties of qth Root of x
Problem 1: qth Root of x
qth Root of x
Problem 1: Properties of qth Root of x
Rational Exponents
Problem 1: Rational Exponents
Properties of Rational Exponents
Problem 1: Properties of Rational Exponents
Proof of x Raise to Power Zero Equals One
Problem 1: Proof of x Raise to Power Zero Equals One
Transformation of Radical & Exponential Form
Problem 1: Transformation of Radical & Exponential Form
2.4: Laws of Exponents/Indices(
Practice Test
)
Exponent or Index Definition
Problem 1: Exponent or Index Definition
Law of Sum of Power of Exponents
Problem 1: Law of Sum of Power of Exponents
Law of Power of Product of Exponent
Problem 1: Law of Power of Product of Exponent
Law of Power of Power of Exponent
Problem 1: Law of Power of Power of Exponent
Law of Quotient of Power with Same Base
Problem 1: Law of Quotient of Power with Same Base
Law of Power of a Fraction
Problem 1: Law of Power of a Fraction
Applications of Laws of Exponents
Problem 1: Applications of Laws of Exponents
2.5: Complex Numbers(
Practice Test
)
Complex Number Introduction
Problem-Complex Number Introduction
Problem 1: Complex Number Introduction
Definition of Complex Number
Problem-Definition of Complex Number
Conjugate of Complex Number
Problem 1: Conjugate of Complex Number
Problem 2: Conjugate of Complex Number
Problem-Conjugate of Complex Number
Equality of Complex Number
Problem 1: Equality of Complex Number
Problem-Equality of Complex Number
Properties of Complex Number
Problem 1: Properties of Complex Number
Problem-Properties of Complex Number
Reflexive & Symmetric Law of Complex Number
Problem 1: Reflexive & Symmetric Law of Complex Number
Problem-Reflexive & Symmetric Law of Complex Number
Transitive Law of Complex Number
Problem 1: Transitive Law of Complex Number
Problem-Transitive Law of Complex Number
2.6: Basic Operations on Complex Numbers(
Practice Test
)
Addition of Complex Number
Problem 1: Addition of Complex Number
Problem-Addition of Complex Number
Multiplication of Complex with Scalar Numbers
Problem 1: Multiplication of Complex with Scalar Numbers
Problem-Scalar Multiplication of Complex Numbers
Multiplication of Complex Numbers
Problem 1: Multiplication of Complex Numbers
Problem-Multiplication of Complex Numbers
Problem 1: Subtraction of Complex Numbers
Problem-Subtraction of Complex Numbers
Division of Complex Numbers
Problem 1: Division of Complex Numbers
Problem-Division of Complex Numbers
Division Property of Complex Numbers
Problem-Expressing complex number in standard form
Problem-Division Property of Complex Numbers
Real and Complex Numbers-Review-Exercise-2-Question 1
Real and Complex Numbers-Review-Exercise-2-Question 2 to Q. 3 part 2
Real and Complex Numbers-Review-Exercise-2-Question 3 to 7
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