reflexive property
7+8=7+8
symmetric property
2+3=5. 5=3+2
transitive property
if... 3+6=9 and 2+7=9 then... 3+6=2+7
substitution property
2(2*6) --->2(12)
additive identity
32+0
additive inverse
5-5=0
multiplicative identity
25*1
multiplicative inverse
7*1/7