Final answer:
The numbers belong to different number sets: 125 is a natural number, 5.90, 0.1, and 19.9999 are real numbers, and 10000 is a whole number.
Step-by-step explanation:
The numbers 125, 5.90, 0.1, 10000, and 19.9999 belong to different number sets as follows:
- 125 belongs to the set of natural numbers because it is a positive whole number.
- 5.90, 0.1, and 19.9999 belong to the set of real numbers because they can be expressed as finite decimal numbers, including fractions and repeating decimals.
- 10000 belongs to the set of whole numbers because it is a positive whole number including zero.