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Lecture
Rational Numbers: Construction and Properties
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Related lectures (31)
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Division and Multiplication in Rational Numbers
Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.
Integers and Rings
Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Multiplication in Rational Numbers
Covers the extension of addition and multiplication operations in rational numbers.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Division in Rational Numbers
Explores division in rational numbers and the extension of addition from integers.
Properties of Rational Multiplication
Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.
Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Addition of Fractions
Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Logic and Proof Techniques
Covers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.
