Download File - Operations with Integers

The Real Number System Webercise
Link 1: http://www.jamesbrennan.org/algebra/numbers/real_number_system.htm
Link 2: http://www.mathsisfun.com/numbers/real-numbers.html
Link 3: http://www.mathsisfun.com/numbers/zero.html
Link 4: http://hotmath.com/hotmath_help/topics/number-systems.html
Link 5: http://www.quia.com/rr/104833.html
Real Numbers
1. Why do we have “real” numbers? What does it mean for a number to be real?
(Link 2)
2. How is the real number system organized? (Link 1)
3. What are the five categories of the real number system? (Link 1) (Link 4)
4. How can the real number system be represented visually? Search for images of
the real number system. Choose one to copy and paste into this box. Explain why
you chose that particular image. Make sure to cite your source.
Counting/Natural Numbers
5. Give a definition and three examples of counting/natural numbers. (Link 1)
(Link 4)
6. Is infinity a counting number? Why or why not? (Link 2)
7. Do all operations using natural numbers produce natural numbers? (Link 4)
Write your own counterexamples showing how some operations can produce nonnatural numbers.
Whole Numbers
0
8. Give a definition and three examples of whole numbers. (Link 1) (Link 4)
9. How did zero come to be a number? Compare and contrast (Link 1) with (Link 3)
10. What is the additive identity? Give your own example. (Link 1) (Link 3)
Integers
11. Give a definition and three examples of integers. (Link 1) (Link 4)
12. What is a negative number? Use “opposite” and “additive inverse” in your
explanation. (Link 1) (Link 4)
13. Do all operations using integers produce integers? (Link 4) Write your own
counterexample showing how an operation using integers can produce a noninteger.
Rational Numbers
14. Give a definition and three examples of rational numbers. Which operation is
crucial to determining a rational number? (Link 1) (Link 4) (Link 2 click on the
rational numbers link)
15. Are all integers rational numbers? (Link 4) Write the integer -3 as a ratio. (Link
2 click on the rational numbers link)
16. Which kinds of decimals are rational numbers? (Link 4)
17. Do all operations using rational numbers produce rational numbers? (Link 4)
Irrational Numbers
18. Give a definition and three examples of irrational numbers. (Link 1) (Link 4)
(Link 2 click on the irrational numbers link)
19. Do all operations using irrational numbers produce irrational numbers? (Link 2
click on the irrational numbers link) Write your own counterexample showing how
an operation using irrational numbers can produce a rational number.
20. Go to the section titled “More on Irrational Numbers” of (Link 1) Copy and
paste that entire section in this box. Draw your own example of a length that cannot
be measured by any rational number.
21. Go to (Link 5) and play the rags to riches game. Record your score here.