JoshuaZ comments on [LINK] Humans are bad at summing up a bunch of small numbers - Less Wrong
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Note that this happens with multiplication also. There's a classic study of anchoring bias where people are asked to estimate about how large 1*2*3*4*5*6*7*8 is or are asked to estimate how large 8*7*6*5*4*3*2*1. People asked either underestimate on average and underestimate the first much more than the second.
This makes me suspect that there's a general tendency to underestimate independent of what operations are being performed.
ETA: Some of this is discussed (with citations) in a previous post by Eliezer here.