Understanding floating point precision

Question

Is it the case that:

1. Representable floating point values are densest in the real number line near zero?
2. Representable floating point values grow spars

Answer 1

Answers:

1. Representable floating point values are densest in the real number line near zero? Yes
2. Representable floating point values grow sparser (exponentially? Yes) as the number line moves away from zero? Yes
3. If the above two are true, does that mean there is less precision farther from zero? Yes

Overall question: Does precision in some way refer to or depend on the density of numbers you can represent (accurately)?

See https://stackoverflow.com/a/24179424

I also recommend What Every Computer Scientist Should Know About Floating Point Arithmetic