Decimal Expansion: Division and Periodicity

Related lectures (29)

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

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

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

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

Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

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

Introduces number theory and its essential applications in cryptography.

Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.

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