0.8 * 0.2 = 0.16

The equation really bothered me. The middle-school math checks out: 0.8 multiplied by 0.2 in fact equals 0.16. What bothered me was the underlying implication: The product of two numbers could be less than each number (0.16 is less than both 0.8 and 0.2).

And then the message hit me. When we operate at a fraction, we compromise the output.