Question

Is the collection of integers are closed under division?justify your answer by giving an example ​

Answer 1

Answer:

yes they are

Step-by-step explanation:

for ex:15 divided by 5 = 3 similarly

for multiplication

3 into 5 = 15

division statements:

( -12 ) divided by ( -6) =2

there are several properties as well

closure- eg (-4) divided by (-8) = -4 by -8

result is not an integer so integers are not  closed under division

Commutativity-eg  3 divided by (-9) and 9 divided by (-3) are not same

so integers are not commutative for division

rule of 0- any integer divided by 0 is meaning less

rule of 1 - a divided by 1 = a

rule of -1 any integer divided by -1 does not give same answer

hope this helps

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