With digital scales, we get an answer to the hundredths or thousandths place, but we do not have the ability to estimate "between the lines". Is the real significance of a measurement different when it comes from a digital scale, or thermometer or other device than when it is read with the possibility of visual interpolation?
As an example, I might have a digital scale that gives a reading of 25.36 grams. It could be anywhere between 25.355 and 25.365 grams. If I read a sliding scale to 25.36 grams, the 6 is an estimate and the true value could range by a few hundredths of a gram while the digital scale at most would have a range of +/- 5 thousandths of a gram.
I realize that you won't have a sliding scale that can match a digital scale anyway, but the same could occur with digital thermometers reading to 0.1 degrees and indicating a range of true value of +/-0.05 while a reported value to the nearest 0.1 degree on a thermometer could be several tenths of a degree off. So is there any acknowledgement that the reported values have different meanings with regard to significance?