Decimal Writing: Fractions and Division

Related lectures (30)

Page 1 of 3

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

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Covers the Euclidean algorithm for GCD calculation and algorithmic complexity analysis.