How is uncertainty presented in physics?

[MBBphys]

Homework Statement

How is uncertainty presented in physics?
If we have:
5.76 m rounded-->wouldn't the range of uncertainty be between the lower and upper bound:
5.755m - 5.765 m
However, my physics teacher said that, as the ruler you are measuring with in this scenario goes down to 0.01 m, you cannot go below that, so the range of uncertainty:
5.75m - 5.77m
Am I confusing lower/upper bound and range of uncertainty here?

Homework Equations

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The Attempt at a Solution

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[CWatters]

I agree with your interpretation.

At university one of our lecturers told us that humans were actually quite good at estimating to within 1/10th of the smallest scale. In other words if your smallest scale is centimetres then humans are quite good at estimating to within +/- 1mm.