Number Systems Worksheet

You may want to read the pages under Number System Tutorial before completing this exercise.

1. In your own words, define a field.
2. Classify the following numbers as: Natural numbers, Whole numbers, Integers, Rational numbers, Real numbers or Complex numbers (use the most restrictive category) and as either algebraic or transcendental.

   a.	−7.5	b.	5	c.	71.183	d.	0
   e.	√17	f.	π	g.	4 + 3i	h.	√9
   i.	3i	j.	1 − 5	k.	−70/5	l.	5 + √2

3. Prove that √3 is an irrational number.