Question on identifying Properties of Operation

Topic : Properties of Operation

Question : For each of the following, identify the properties of the operation(s) for whole numbers illustrated:
a. 3?(a1b)53?a13?b
b. 21a5a12
c. 16?151?16516
d. 6?(1213)56?1216?3
e. 3?(a?2)53?(2?a)
f. 3?(2?a)5(3?2)?a

Answer :
a. Distributive Property of ? over 1 (Here 5 is equivalent to =)
b. Commutative Property of operation 1 (Again 5 is equivalent to =)
c. Identity of operation ? (5 is equivalent to =. But 1 is the identity element.)
d. Distributive Property of ? over 1 (5 is equivalent to =)
e. Commutative Property of ? is used here.
f. Associative Property of ?.

Hope the answers will be helpful for you.