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12 terms

math properties

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closure properties
a+b and ab are unique real numbers
commutative properties
The properties that state the order of the addends or factors does not affect the sum of the products. (switch the order of the numbers)
Associative properties
more than numbers can be added or multiplied in groups of two ; the way the numbers are grouped does not matter, (a+b)+c=a+(b+c) (CHANGING THE PARENTHESIS DOES NOT MATTER)
Identity Properties
adding 0 to a number does not change the number; multiplying a number by 1 does not change the number
property of opposites
a+(-a)=0 #+(-#)=0
property of reciprocals
a*1/a=1
distributive property
a(b+c)=ab+ac
reflexive property
a=a
symetric property
if a=b then b=a
transitive property
If a=b and b=c, then a=c
addition property
if a=b, then a+c=b+c
multiplication property
if a=b, then ac=bc