Lectures related to Decimal and Periodic Numbers

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

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

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

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

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

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

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

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

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

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

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

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

Covers the representation of integers using different bases and the conversion between them.

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

Explores number representation, algorithms, recursion, and probabilities in decimal and binary.

Explains the properties of addition and multiplication in Q with illustrative examples.

Covers the representation of integers using different bases and algorithms for base expansion.

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.

Covers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.