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The unit digit of the square of 81 will be 1.
It is the square of an integer: that is what a perfect square is.
The unit digit of a number is the digit in the ones place, which is the integer part of the number. In the case of 12.04, the integer part is 12, and the unit digit is 2. Therefore, the value of the unit digit in 12.04 is 2.
The unit's digit of x is not 0.
Here's an example. In the number 382, the number 2 is the "unit's digit" (in the "unit's place"), 8 is the "ten's digit" (in the "ten's place"), and 3 is the "hundred's digit."