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It's a silly question. Do you mean round-off error?
The greatest possible error is 1/2 the unit of measure. What is the unit of measure used in 12.3?
That's just not the case, as posed. If you are measuring the mass of the moon, and you get 12.3, what does that mean? We need a real question.
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Perhaps you do not understand. This measurement is to the nearest tenth. Therefore the greatest possible error is 1/2 x .1 or .05
If you measure something to the nearest 1, the GPE is .5 and so on.
Right, IF you are talking about round off error. Are we? It's not in the problem statement.
No. NOT talking about rounding error. If I say it is 20 miles to the nearest town, that 0 is not significant. Therefore the unit of measure is 10 miles and the greatest possible error is 5 miles which means the distance to the nearest town is between 15 and 25 miles.
You have just defined round-off or rounding error. The limitation of our measurement device. Why are you saying that is not what it is? It is possible we just learned different words for it.
I thoroughly agree that the maximum possible round-off error is 1/2 the most exact measure used. In this case, 0.05.
I still think we need a better question. Thanks to @Mertsj for making me think about it harder.