Regarding the types, I think it's easy to fall into the trap of thinking you have to try and force the domain concept into one of the commonly available data structures at the point of creation, i.e. the price "£3.99" has to become (int) 399 or (float) 3.99000000001.

Actually, as another commentor mentioned, you can and should just choose something that represents what you want. In many cases it will be an object with various domain-specific fields. If you need to be sure that "3.99" always comes back as "3.99", you can use a string, which doesn't have any issues with precision in the storage format, and will usually map exactly to how humans deal with the concept. (Not necessarily recommending this, but it's worth considering.)

Similarly with JavaScript precision issues, to take another example that's been mentioned here - if you need numbers to be precise and the performance cost is acceptable, JavaScript can compute to arbitrary precision just as well as any other language. Just don't assume you're forced to convert your concept of a number to use the built-in numeric types and operations.