- Introduction to Rational Numbers
- Problem-Concept of Rational Numbers
- Introduction to Irrational Numbers
- Problem-Concept of Irrational Numbers
- Introduction to Real Numbers
- Problem-Concept of Real Numbers
- Decimal Representation of Rational Number
- Problem-Representation of Rational Number on a Number Line

- Addition and Subtracting Rational Numbers
- Problem-Addition of Two or More Rational Numbers
- Problem-Subtraction of Two or More Rational Numbers
- Multiplication and Dividing Rational Numbers
- Problem-Multiplication of Rational Numbers
- Division of Rational Numbers
- Problem-Division of Rational Numbers
- Finding Reciprocal of a Rational Number
- Problem-Finding Reciprocal of a Rational Number
- Closure Law of Rational Numbers
- Closure law of Rational Numbers Subtraction and Division
- Problem-Closure Property w.r.t Addition
- Commutative Law
- Commutative law under Subtration and Division
- Associative Law
- Associative law of Subtraction and Division
- Additive Identity & Additive Inverse
- Multiplicative Identity & Inverse
- Problem-Multiplicative Identity and Multiplicative Inverse
- Distributive Law
- Problem-Distributive Property of Multiplication Over Addition
- Distributive Property of Multiplication over Subtraction
- Problem-Distributive Property of Multiplication Over Subtraction
- Comparison of Rational Numbers Having Same Denominator
- Comparison of Rational Numbers Having Different Denominator
- Problem-Comparison of Rational Numbers Having Different Denominator
- Ordering of Rational Numbers
- Problem-Arranging Rational Numbers in Order
- Concept of Recurring Decimal Fractions
- Problem-Concept of Recurring Decimal Fractions