Abstract


  • r is rational <-> there are integers a and b such that r=a/b and b!=0
  • Represented with the symbol Q

Theorem


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