An alternative to "training" users to understand SI prefixes could be to make 100 satoshi = 1 mu, spelling out the Greek letter.
Although the
Units page on the wiki has been brought up to argue against naming 10,000 satoshi = 1 finney, I would like to support this designation. It seems to be gaining some popular support on Twitter & podcasts. So at $10,000 BTC/USD, 1 finney = $1.00. The smallest unit of value would be 0.0001 finney = 1 satoshi. Finney has a natural abbreviation as fin, and 100 mu = 1 finney.
The Units page also refers to "bitcent" as 0.01 BTC, but if a "bit" is 100 satoshi, then what is a "bitcent" in that context?
/bikeshed
@Natanael you're exactly right. There are already multiple uses of "bits" within bitcoin itself.
@Sjors I don't think a redefinition of 'satoshi' is going to happen ;-)