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Properties for Division of Integers
    (i)    Closure property of division of Integers : If ‘a’ and ‘b’ integers, then (a ÷ b)  may not necessarily always be an integer ex. if a = –5 and b = 10 then 

       which is not an integer.

(ii)    Commutative property for division of two integers : For any two integers ‘a’ and ‘b’ the commutative property does not hold true. i.e. a ÷ b ÷ a. For example if a = 2 and b = –4 then 2 ÷ (–4)(–4) ÷ 2.
(iii)    Associative Property for division : The associative property does not hold true for division of integers.

(v)    For every integer a, a ÷  1 = a. For example, if a = –10 then –10 ÷   1 = –10.
(vi)    For every integer a, we have a ÷  0 is not defined.
(vii)   For three non zero integers a, b and c, if a > b, then a ¸ c > b ÷ c if c is positive and a÷ c < b ÷  c if c is negative.
         For example : Consider three integers a = 30 b = –20 and c = 10. where a > b
        then    a  ÷  c = 30 ÷  10 = 3  which is greater than
                  b  ÷  c = 20 ÷  10 = –2 
        But when c = –10 a ÷  c = 30 ÷  (–10) = –3 which is less than b ÷  c = –20 ÷  (–10) = 2

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