8: The Real Numbers Last updated Save as PDF Page ID 99097 Bob Dumas and John E. McCarthy University of Washington and Washington University in St. Louis 8.1: The Natural Numbers 8.2: The Integers 8.3: The Rational Numbers 8.4: The Real Numbers 8.5: The Least Upper Bound Property 8.6: Real Sequences 8.7: Ratio Test 8.8: Real Functions 8.9: Cardinality of the Real Numbers 8.10: Order-Completeness 8.11: Exercises Thumbnail: Real number line with some constants such as ππ. (Public Domain; User:Phrood ).