Division and Multiplication in Rational Numbers

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Explores division in rational numbers and the extension of addition from integers.

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.

Covers the basics of group theory, including definitions, examples, and isometries.

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

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

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

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.

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