Rational Numbers: Amplification and Simplification

Related lectures (30)

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

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

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

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

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

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

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

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

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

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