what are the math properties and thier definitions

I searched Google under the key words "math properties definitions" to get these possible sources:

http://mathforum.org/dr.math/faq/faq.property.glossary.html
(Broken Link Removed)

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

I hope this helps. Thanks for asking.