The Order Property
( a>b, a=b, or a<b )
( a>b and b>c implies a>c )
(the sum of the greater) > (the sum of the less)
(the product of the positive greater) > (the product of the positive less)
Rules of Sign in Addition and Multiplication
a·a is greater than or equal to zero.
Positive numbers have positive reciprocals.
Larger positive numbers have smaller reciprocals.
Elementary Arithmetic, Natural Numbers, Integers, Rational Numbers
Converted [ in part ] by Mathematica
December 4, 2007;
Edited 12 May 2010