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Learning Questions: Lecture 7

  • What is a rational number?
  • How do you prove the transitivity of divisibility?
  • How do you prove the divisibility of integers by a prime numbeR?
  • What is a proof by counterexample?
  • What is a proof by cases?
  • What is the parity property?
  • What are the methods of proof by contradiction and contrapositive?
  • How can you prove that the sum of any rational and irrational numbers is irrational?
  • How can you prove that for every integer if its square is even then it is even?