Alternatively as both floats (32 bit) and doubles (64 bit) are represented in binary we can directly compare them to the possible values an int (32 bit) and a long (64 bit) has. That is to say a float has the same amount of possible values as an int does (and double has the same amount of values as a long) . That’s quite a lot of values but still ultimately limited.

Since we generally use decimal numbers that look like this 1.5 or 3.14. It’s setup so the values are clustered around 0 and then every power of 2 you have half as many meaning you have high precision around zero (what you use and care about in practice) and less precision as you move towards negative infinity and positive infinity.

In essence it’s a fancy fraction that is most precise when it’s representing a small value and less precise as the value gets farther from zero