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There are no first five because there is really no first: you can always use a smaller unit.

In terms of reasonably well known prefices, the answer could be:

yoctometre = 10-24 metres

zeptometre = 10-21 metres

attometre = 10-18 metres

femtometre = 10-15 metres

picometre = 10-12 metres.

But, the first could be defined as the Planck length = 1.616199*10-35 metres. This is the smallest measurable distance.

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