#import "@local/handout:0.1.0": *

= Bonus -- More about Floats

#problem()
Convince yourself that all numbers that can be represented as a float are rational.

#problem()
Find a rational number that cannot be represented as a float.

#v(1fr)

#problem()
What is the smallest positive 32-bit float?

#v(1fr)

#problem()
What is the largest positive 32-bit float?

#v(1fr)

#problem()
How many floats are between $-1$ and $1$?

#v(1fr)

#problem()
How many floats are between $1$ and $2$?

#v(1fr)

#problem()
How many floats are between $1$ and $128$?

#v(1fr)