Test One = 1 = 0001 = I

*Know basic facts from the handout on the history of numbers, but especially:
	+Roman Numerals
	+Number System (definition/explanation)
	+Positional Number System (definition/explanation/what does "positional" mean here)
	+Algorithm (definition/explanation)
	+Questions on Handout

*Know how to do the conversions we discussed in class.
	2 <-> 10
	2 <-> 16
	5  -> 10
	+Know how to follow this map around and do sequences of conversions.  The website I linked to should be helpful practicing this.

	+Helpful in doing this material is to know the table that I gave on the second homework.  This let's you quickly convert between the numbers 0-15 in base 10, base 2, and base 16.

*Know general facts about the positional number systems and grouping:
	+If we use base "B" how many digits will we use?
	+What are the different place values worth in base "B"

*Know the symbols for the different sets of numbers and which numbers are in each.
	+ R - reals	
	+ Q - rationals
	+ Z - integers
	+ N - naturals

*Know the statements of the pythagorean theorem (handout) and the irrationality of the square root of 2.
	+Hint: The second one is easy: "The square root of two is irrational"

*Know the idea behind proof by contradiction.

*Know the decimal representation of real numbers and how to convert back and forth between rationals.

*Know any other definitions that I gave in class.