Final answer:
The property x * 1/x = 1, given x isn't zero, is known as the Multiplicative Inverse Property.
This property dictates that any number, when multiplied by its reciprocal, results in 1.
Step-by-step explanation:
The property you're referring to is the Multiplicative Inverse Property.
It states that any number, when multiplied by its reciprocal, equals 1 (given the number isn't zero, as we cannot divide by zero).
For example, if we let x=2, then the reciprocal or multiplicative inverse of 2 is 1/2, therefore 2 * 1/2 = 1 which demonstrates the Multiplicative Inverse Property.
So, in the equation x * 1/x = 1, '1/x' is the reciprocal of 'x' and their product is 1, assuming that 'x' isn't zero.
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