Answer :

Given that binary operation ‘*’ is valid for set ‘I ^{+} ’ of all positive integers defined by a*b = a + b for all a,b∈I ^{+}.

Let us assume a∈I ^{+} and the identity element that we need to compute be e∈I ^{+}.

We know that he Identity property is defined as follows:

⇒ a*e = e*a = a

⇒ a + e = a

⇒ e = a – a

⇒ e = 0

∴ The required Identity element w.r.t * is 0.

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