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Chapter 2: Real Numbers and Coordinate System (45 videos)

2.1: Real Number System
1. Introduction to Rational Numbers
2. Problem 1: Introduction to Rational Numbers
 
2.2: Irrational Numbers
1. Introduction to Irrational Numbers
2. Problem 1: Introduction to Irrational Numbers
 
2.3: Real Numbers
1. Introduction to Real Numbers
 
2.4: Properties of the Real Numbers
1. Closure law of Whole Numbers Addition and Multiplication
2. Closure law of Whole Numbers Subtraction and Division
3. Closure law of Irrational Numbers Addition and Subtraction
4. Closure law of Irrational Numbers Multiplication and Division
5. Commutative Law
6. Commutative law under Subtration and Division
7. Associative Law
8. Associative law of Subtraction and Division
9. Problem 1: Associative Law
10. Additive Identity & Additive Inverse
11. Multiplicative Identity & Inverse
12. Distributive Law
13. Problem 1: Additive Identity & Additive Inverse
14. Distributive Property of Multiplication over Subtraction
15. Trichotomy Property of Inequality
16. Problem 1: Multiplicative Identity & Inverse
17. Problem 1: Distributive Law
18. Problem 1: Distributive law of Multiplication over Subtraction
19. Problem 1: Trichotomy Property of Inequality
 
2.5: Properties of Equality of Real Numbers
1. Reflexive And Symmetric Property of Equality
2. Transitive Property of Equality
3. Problem 1: Transitive Property of Equality
4. Additive Property of Equality
5. Multiplicative Property of Equality
6. Cancellation Property of Equality
7. Problem 1: Cancellation Property of Equality
 
2.6: Properties of Inequality of Real Numbers
1. Archimedian Property of Inequality
2. Transitive Property of Inequality
3. Problem 1: Transitive Property of Inequality
4. Additive Property of Inequality
5. Multiplicative Property of Inequality
6. Inequality Multiplicative Inverse
7. Problem 1: Multiplicative Property of Inequality
 
2.7: Ordered Pairs
1. Introduction to Ordered Pairs
 
2.8: The Cartesian Product
1. Cartesian Product of Sets
2. Problem 1: Cartesian Product of Sets
 
2.9: Coordinate System
1. Cartesian Coordinate System & Cartesian Plane
2. Problem 1: Cartesian Coordinate System & Cartesian Plane
 
2.10: Catesian Coordinate System for Plane
1. Cartesian Coordinate System & Cartesian Plane
2. Problem 1: Cartesian Coordinate System & Cartesian Plane
 

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