Final answer:
The number -71 belongs to the rational and integer number sets, but not to the irrational, whole, or natural number sets.
Step-by-step explanation:
The number -71 belongs to the following sets of numbers:
- Rational: -71 is a rational number because it can be expressed as a fraction, such as -71/1.
- Integer: -71 is an integer because it is a whole number, negative in this case, without any fractional or decimal parts.
The number -71 does not belong to the following sets of numbers:
- Irrational: Irrational numbers cannot be expressed as fractions and the decimal representation goes on infinitely without repeating. -71 is a rational number, not an irrational number.
- Whole: Whole numbers include all positive integers and zero. Since -71 is negative, it is not a whole number.
- Natural: Natural numbers include all positive integers starting from 1. Since -71 is negative, it is not a natural number.