Final answer:
The number -8,760 belongs to the sets of Integers, Rational Numbers, and Real Numbers, but not to the set of Whole Numbers, as it is a negative number.
Step-by-step explanation:
The number -8,760 can be categorized into several sets of numbers based on its characteristics:
- Integers: The set of integers includes all whole numbers, their opposites, and zero. Since -8,760 is a whole number with a minus sign, it is considered an integer.
- Rational Numbers: Rational numbers are numbers that can be expressed as a fraction with integers in both the numerator and the denominator (where the denominator is not zero). The number -8,760 can be expressed as -8,760/1, making it a rational number.
- Real Numbers: This set includes all the numbers that can be found on the number line, which encompasses all the rational and irrational numbers. As an integer, -8,760 is also a real number.
The number -8,760 does not belong to the set of Whole Numbers because whole numbers are all non-negative numbers including zero (0, 1, 2, 3, ...), and therefore do not include negative numbers like -8,760.