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Arithmetic

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

Integer Representations: Magnitude & Complement

Explores integer representations, focusing on sign-and-magnitude, one's complement, two's complement, Excess-N, overflow, underflow, and binary multiplication.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Integers Representation: Sign vs. Two's Complement

Explores integer representation methods, comparing sign-and-magnitude with two's complement, and introduces fixed-point and floating-point representations.

Division in Rational Numbers

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

Polynomials, Division, and Ideals

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Properties of Rational Multiplication

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

Modular Arithmetic: Introducing Z/mZ

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

Decimal Writing: Fractions and Division

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

Order of Operations: Unnecessary Parentheses

Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.