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Used correctly, they can be equally accurate. Each may be better in a particular circumstance.

The error in a series of measurements increases the more measurements need to be taken. So, for instance, in order to measure a 100 meter tall building with a meter stick 100 measurements must be taken. With a 50 meter measure only two measurements are taken. If the margin of error in all measurements are equal, the error using the meter stick will be about 7 times more than the error using the measure. (Why 50 times as many measurements gives only 7 times the error is the subject of another answer.)

On the other hand, when measuring the overall length of an irregular object it is useful to have a rigid meterstick in order to avoid the tendency to follow the object's contour.

It is best, as always, to use the right tool for the job.

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