Rational Number

Abstract

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• r is rational $\leftrightarrow$ there are integers a and b such that r=a/b and b!=0
• Represented with the symbol $\mathbb{Q}$ (0.5, -23, 8.5)

Theorem 4.2.1

• Every integer is a rational number

Theorem 4.3.2

• The sum of any two rational numbers is rational

Corollary 4.2.3

• The double of a rational number is rational
• Derived from Theorem 4.3.2