Check whether the properties " closure,commutative and associative "are statisfied under two operations "× and ÷" of integer. Give some example.
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Step-by-step explanation:
Closure property under multiplication.
[(-a)×b] = [a×(-b)] would always be an integer.
closure property under division
If we divide (a÷b) two integers then a & b are integers but sometime their result is not integer like (4÷5) = 0.8 which is not a integer.
Commutative property under multiplication
(a×b) = (b×a) a & b is integer
commutative property under division
(a÷b) not equal to (b÷a)
(4÷2) not equal to (2÷4)
Associative property under multiplication.
a×(b×c) = (a×b)×c a,b&c are integers
Assosiative property under division.
a÷(b×c) not equal to (a×b)÷c
You can check the answers by putting any value at the place of a,b&c.
I hope it will help you.
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