Decimal Writing: Fractions and Division

Related lectures (30)

Page 2 of 3

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

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

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

Introduces number theory and its essential applications in cryptography.

Covers the factorization of polynomials over a field, including division with remainder and common divisors.

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

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.

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.