Initial Questions (pre-test)
What is a counting number? a natural number? an integer?
What is the likelihood (probability) of choosing a counting number at random from all the integers between -10 and 10?
What is a rational number? an algebraic number? a real number?
What is the likelihood (probability) of choosing a counting number at random from all the rational numbers between -10 and 10?
What is the likelihood (probability) of choosing a rational number from all the real numbers between -10 and 10?
Arrange the following sets of numbers from smallest to
largest:
| natural numbers | algebraic real numbers | integers |
| real numbers | transcendental real numbers | rational numbers |