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I think the original commenter is right- correct me if I missed what you’re getting at.

Keeping it all in the same units until the end here:

1 millionth of 1 meter = (1 / 1,000,000)m = (1e-6m)

1 millionth * 100 = 100 millionths => (1e-6m) * 100 = (1e-4m) = 100 millionths

(1e-4m) = .0001m | 1m = 1000mm => .0001m*1000 = .1mm

Ops, 100 ( 1 millionths of a meter) is a much more reasonable tolerance here than 1 / (100 millionth) of a meter.

I am to used to people saying 100 millionth of a meter to mean 10 nm or 0.01 µm which would have looked insane if I had written that.

Aka 100 millionth vs 100 millionths