Depends on the size of the tomato and the width of the slices. On average I would say 4 to 6 slices sounds about right.
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The size of an atom is approximately 0.1 nano-meters, with the sharpest and most durable knife possible, based on the average length of a tomato being 60mm, we can convert this to nano-meters to obtain a total of 60,000,000nm across, or 60,000,000 atoms across.
Thus a tomato can technically be split 60 million times
(that is, unless you split the atoms :)
Depends on the species of tomato.
There are around 7,500 species of tomato, all with different sizes.
It may be better to re-ask your question, giving a specific tomato.