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Lecture

Decimal Writing: Fractions and Division

Related lectures (30)

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Explains polynomial division, factor decomposition, and rational function simplification.

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.

Explains the conversion process from fractions to decimal numbers and vice versa.

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Explores the concept of real numbers through decimal notation and fraction representation.

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

Covers the extension of addition and multiplication operations in rational numbers.

Introduces number theory and its essential applications in cryptography.

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Covers rational numbers, amplifying and simplifying fractions, and calculating values.

Explores the concept of division in number theory, including properties, algorithms, and examples.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Explains decimal and periodic numbers, illustrating with examples and discussing rational numbers.

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.