The correct hierarchy of number sets within the real number system, from largest to smallest, is:
rational numbers, irrational numbers, integers, whole numbers, natural numbers.
However, since this exact order doesn't appear in your options, I will identify the closest option:
- rational numbers, integers, whole numbers, natural numbers.
This option correctly places rational numbers first (because they include both integers and fractions), and places natural numbers last (as they are a subset of whole and integer numbers).
None of your provided responses completely match this accurate hierarchy, but if we were to revise your options based on set inclusion, the closest answer from your options is:
rational numbers, integers, whole numbers, natural numbers (Note that this is not directly listed, but if it were, it would be the most accurate).
If you must choose from what you have listed, the first option does reflect a hierarchy of subsets:
- natural numbers, whole numbers, integers, rational numbers (though this does not correctly display their order as rational numbers include integers and whole numbers).
So please select based on the provided options keeping in mind the logic of set inclusions!
9 answers