**Chapter 2: Real and Complex Numbers (94 videos)**

**2.1: Real Numbers**

**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****Presenting Irrational Numbers on Number Line****Problem 1: Presenting Irrational Numbers on Number Line****Decimal Representation of Rational Number****Problem 1: Decimal Representation of Rational Number****Decimal Representation of Irrational Number**

**2.2: Properties of Real Numbers**

**Closure Law of Rational Numbers****Problem 1: Closure Law of Rational Numbers****Commutative Law****Associative Law****Problem 1: Associative Law****Additive Identity & Additive Inverse****Problem 1: Additive Identity & Additive Inverse****Multiplicative Identity & Inverse****Problem 1: Multiplicative Identity & Inverse****Distributive Law****Problem 1: Distributive Law****Reflexive And Symmetric Property of Equality****Transitive Property of Equality****Problem 1: Transitive Property of Equality****Additive Property of Equality****Multiplicative Property of Equality****Cancellation Property of Equality****Problem 1: Cancellation Property of Equality****Trichotomy Property of Inequality****Problem 1: Trichotomy Property of Inequality****Transitive Property of Inequality****Problem 1: Transitive Property of Inequality****Additive Property of Inequality****Multiplicative Property of Inequality****Problem 1: Multiplicative Property of Inequality****Inequality Multiplicative Inverse**

**2.3: Radicals and Radicands**

**Square Root****Problem 1: Square Root****Properties of Square Root****Problem 1: Properties of Square Root****More on Properties of Square Root****qth Root of x****Problem 1: qth Root of x****Properties of 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**

**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**

**Complex Number Introduction****Problem 1: Complex Number Introduction****Definition of Complex Number****Problem 1: Definition of Complex Number****Conjugate of Complex Number****Problem 1: Conjugate of Complex Number****Equality of Complex Number****Problem 1: Equality of Complex Number****Properties of Complex Number****Problem 1: Properties of Complex Number****Reflexive & Symmetric Law of Complex Number****Problem 1: Reflexive & Symmetric Law of Complex Number****Transitive Law of Complex Number****Problem 1: Transitive Law of Complex Number**

**2.6: Basic Operations on Complex Numbers**

**Addition of Complex Number****Problem 1: Addition of Complex Number****Multiplication of Complex with Scalar Numbers****Problem 1: Multiplication of Complex with Scalar Numbers****Multiplication of Complex Numbers****Problem 1: Multiplication of Complex Numbers****Subtraction of Complex Numbers****Problem 1: Subtraction of Complex Numbers****Division of Complex Numbers****Problem 1: Division of Complex Numbers****Division Property of Complex Numbers****Problem 1: Division Property of Complex Numbers**