- Decimal Representation of Rational Number
- Problem 1: Decimal Representation of Rational Number
- Decimal Representation of Irrational Number

- 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
- Trichotomy Property of Inequality
- Problem 1: Trichotomy Property of Inequality

- 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

- Archimedian 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

- 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

- Introduction to Radical
- 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

- Introduction to Surds
- Problem 1: Introduction to Surds
- Addition & Subtraction of Surds
- Problem 1: Addition & Subtraction of Surds
- Problem 2: Addition & Subtraction of Surds
- Multiplication & Division of Surds
- Problem 1: Multiplication & Division of Surds
- Problem 2: Multiplication & Division of Surds
- Introduction to Rationalization
- Rationalizing Denominator & its Types
- Problem 1: Rationalizing Denominator & its Types
- Problem 2: Rationalizing Denominator & its Types