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Lecture
Rational Numbers Construction
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Related lectures (31)
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Decimal Expansion: Division and Periodicity
Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.
Rational Numbers: Amplification and Simplification
Covers rational numbers, amplifying and simplifying fractions, and calculating values.
Algebraic Operations
Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Rational Numbers: Construction and Properties
Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.
Total Order Relation: Properties of Real Numbers
Covers the concept of total order relation and properties of real numbers.
Mathematical Notations: Recap and Rational Numbers
Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.
Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Rational Numbers: Definitions and Operations
Covers the definition and operations involving rational numbers.
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Addition of Fractions
Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.
