Hi Ethan,
yes I agree this is somewhat confusing (maybe in ReCiPe especially) - in a nutshell, and somewhat simplified: single score is the aggregated impact score which is obtained after a weighting, which is performed with the 400, 400, 200 factors in ReciPie which are in principle percentages (40%, 40%, 20%) but in addition include a factor of 1000 with the idea to overcome too small numbers; normalized values are impact values devided by a reference value to set them in perspective and to get rid of the unit. It is a necessary step before calculating a single score, since the latter requires dimensionless (or: equal dimension) values.
Hth,
Andreas