Final answer:
The property illustrated in the statement is the identity property of multiplication.
Step-by-step explanation:
The property illustrated by the statement 2*(1)/(2)=1 is the identity property of multiplication. This property states that when any number is multiplied by 1, the result is the original number itself.
In this case, we have 2 multiplied by the fraction 1/2. Multiplying 2 by 1 gives us 2, and dividing by 2 gives us 1. Therefore, 2*(1)/(2)=1 satisfies the identity property of multiplication.