We now study the properties satisfied by addition and subtraction.
(a) Integers are closed for addition and subtraction both. That is, a + b and
a-bare again integers, where a and b are any integers.
(b) Addition is commutative for integers, i.e., a + b = b + a for all integers
a and b.
(e) Addition is associative for integers, i.e., (a+b)+c=a +(b + c) for all integers
a, b and c.
(d) Integer is the identity under addition. That is, a +0=0+ a =a for every
integer a
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