If someone sells you 12345.55 EUR vs USD at a rate of 1.12345, how many EUR do you think you end up with? Do you think all market participants even agree? What if the rate is 1.123456?

For added fun, you can introduce division. Some systems will allow you to sell 12345.55 USD to buy EUR at a rate of 1.12345.

The article’s “no lost data” tenet is not really viable when this sort of division is involved. Are you going to track your account balance is a rational number with an absolutely immense denominator forever?