Rational Numbers: Amplification and Simplification

Related lectures (30)

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

Covers the definition and operations involving rational numbers.

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

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

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

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

Covers the decomposition of fractions into simple terms and provides a corollary proof related to the convergence of integrals.

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

Showcases the use of assertions in Stainless to prove properties of fractions.

Explores the properties of division in natural numbers and its relation to multiplication.