Most things are non-integer. A taste or smell, for example.
Some types of rational but noninteger numbers are fractions, negative fractions, decimals, any kind of percent, etc. Integers arepositive and negative whole numbers, like 24 or -6. A rational but noninteger example is 5% or -3/4.
numbers that are not the whole numbers and their opposites
Well the most obvious one is the very basic pluralizing suffix 's'.