Let's analyze each given set and determine if the number 5 belongs to them.
1. Natural Numbers:
- Natural numbers include all positive integers starting from 1. Since 5 is a positive integer greater than or equal to 1, 5 is indeed a natural number. Therefore, 5 is in the set of natural numbers.
2. Whole Numbers:
- Whole numbers include all non-negative integers starting from 0. Since 5 is a non-negative integer and greater than or equal to 0, 5 is a whole number. Therefore, 5 is in the set of whole numbers.
3. Integers:
- Integers include all positive and negative whole numbers, including zero. Since 5 is a whole number that is part of this broader set, 5 is an integer. Therefore, 5 is in the set of integers.
4. Rational Numbers:
- Rational numbers are numbers that can be expressed as the quotient of two integers. Since 5 can be expressed as 5/1 (where both 5 and 1 are integers), 5 is a rational number. Therefore, 5 is in the set of rational numbers.
5. Irrational Numbers:
- Irrational numbers cannot be represented as simple fractions; they have non-repeating, non-terminating decimal expansions. Since 5 can be expressed as 5/1, it is a rational number and not an irrational number. Therefore, 5 is not in the set of irrational numbers.
6. Real Numbers:
- Real numbers include both rational and irrational numbers. Since 5 is a rational number, it is also a real number. Therefore, 5 is in the set of real numbers.
To summarize, the number 5 belongs to the following sets:
- Natural numbers
- Whole numbers
- Integers
- Rational numbers
- Real numbers
The number 5 does not belong to the set of irrational numbers.
