Determine whether or not each of the definition of * given below … - Vidyadip

Question

Determine whether or not each of the definition of * given below gives a binary operation. In the event that * is not a binary operation, give justification for this.
On Z⁺, define * by a * b = ab

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Answer

on Z⁺ = {1, 2, 3,.....}, a * b = ab
Let a = 2, b = 4
$\therefore\ \text{a}*\text{b}=2\times4=8\in\text{Z}^{+}$
Therefore, operation * is a binary operation on Z⁺.

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