Question

List all subsets of the real numbers from the list below that each number belongs to. SEE EXAMPLE 1

- real numbers
- irrational numbers
- rational numbers
- integers whole numbers
16. 1
17. 4/7
18. 6
19. 0
20. √2)
21. -29

Answer 1

The subsets of real numbers for the given list are: 1 (real numbers, rational numbers, integers, whole numbers), 4/7 (real numbers, rational numbers), 6 (real numbers, rational numbers, integers, whole numbers), 0 (real numbers, rational numbers, integers, whole numbers), √2 (real numbers, irrational numbers), and -29 (real numbers, rational numbers, integers).

Step-by-step explanation:

List of Subsets of Real Numbers for Given Numbers

List each number below into the subsets of real numbers to which it belongs:

16. 1: Real numbers, rational numbers, integers, whole numbers

17. 4/7: Real numbers, rational numbers

18. 6: Real numbers, rational numbers, integers, whole numbers

19. 0: Real numbers, rational numbers, integers, whole numbers

20. √2: Real numbers, irrational numbers

21. -29: Real numbers, rational numbers, integers

Numbers such as 1, 6, and 0 can be expressed without a fractional or decimal part and are therefore integers and whole numbers. Rational numbers include numbers that can be expressed as fractions, like 1 (1/1), 6 (6/1), 0 (0/1), and 4/7. However, since √2 cannot be written as a fraction of two integers, it is considered an irrational number. Negative integers like -29 are not whole numbers, but they are integers and rational numbers.