| A | B |
|---|
| multiplcation by "1" | indentity of multiplication |
| a change in the order of multiplying or adding numbers | commutative |
| a change in the grouping when multiplying or adding numbers | associative |
| a number being equal to itself | reflexive |
| A number being added to "0" to equal to identically the same number | identity of addition |
| a number being added to its opposite to equal "o" | additive inverse |
| If Bob and Tom are brothers and Tom is brother to Sam, then Bob and Sam are brothers | transitive |
