Learning Resources

Subsets of the Real Numbers

Answers to Activities Questions

1. No. The rational and irrational numbers form two distinct sets of the real numbers.

2. The natural numbers. See diagram above.

3.

1. rational numbers contain integers, whole numbers, natural numbers.
2. whole numbers contain natural numbers.
3. irrational numbers contain no other set of numbers.
4. natural numbers contain no other set of numbers.
5. integers contain whole numbers, natural numbers.

4.

1. irrational, real
2. natural, whole, integer, rational, real
3. rational, real
4. integer, rational, real
5. 5.23 rational, real
6. 5.23 rational, real
7. 5.23p irrational, real
8. rational, real