Name the set or sets of numbers to which each real number belongs.
The real number belongs to the sets of natural numbers, whole numbers, integers, and real rational numbers.
Real numbers include all the numbers except complex numbers and have the following five subsets:
1. Natural numbers:
2. Whole numbers:
3. Integers: Measurement of debts, temperatures, etc., fall under the set of integers
4. Rational numbers: If we cut a cake into equal pieces, then we may have a piece that represents a fraction like
5. Irrational numbers: The numbers that are square roots of positive rational numbers, cube roots of rational numbers, etc., such as
Consider the given real number
We can rewrite it as:
Now we will check each subset of real numbers:
Therefore, the real number belongs to the sets natural numbers, whole numbers, integers and real rational numbers.
94% of StudySmarter users get better grades.Sign up for free