Which operations can we do within the following sets: counting numbers, whole numbers, integers, irrational numbers and rational numbers (i.e., for each set decide under which operations is it closed)?
Select a set and try adding, subtracting, multiplying, or dividing random numbers from that set. What happens? Close Tip
Problem A3
a.
Within each set, which operations require us to expand to a new set?
b.
To go from one set to the next biggest, what new types of numbers do you need to include?
Video Segment In this video segment, Donna and Susan contemplate the relationships between different sets of numbers in the real number system. They discuss the operations and how different operations require them to expand the number sets they're using. Watch this segment after you've completed Problems A1-A3.
If you are using a VCR, you can find this segment on the session video approximately 4 minutes and 7 seconds after the Annenberg Media logo.
