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Operations with Number Systems WS
Name ____________________________________
natural number: N = {1, 2, 3, 4, 5, …}
whole number: W = {0, 1, 2, 3, 4, 5, …}
integer: Z = {…, 3, 2, 1, 0, 1, 2, …}
rational number: Q = {a/b | a and b integers and b  0}
irrational number: Ir. or ~Q = all non-terminating, non-repeating decimals
1. Give an example of a whole number that is not a natural number. __________
2. Give an example of an integer that is not a whole number. __________
3. Give an example of a rational number that is not an integer. __________
4. Give an example of an irrational number. ________
5. Give an example of a complex number that is not an integer. __________
6. Give an example of two integers whose sum is a natural number. ____________________
7. Give an example of two rational numbers whose sum is an integer. ____________________
8. Give an example of two complex numbers whose sum is a real number. ____________________
9. Give an example of two rational numbers whose sum is a rational number. ____________________
10. Give an example of two irrational numbers whose sum is an irrational number. ____________________
11. Give an example of two integers whose product is a natural number. ____________________
12. Give an example of two rational numbers whose product is an integer. ____________________
13. Give an example of two complex numbers whose product is a real number. ____________________
14. Give an example of two rational numbers whose product is a rational number. ____________________
15. Give an example of two irrational numbers whose product is an irrational number. ____________________
16. Give an example of two trinomials whose sum is a binomial. ________________________________________
17. Give an example of two binomials whose sum is a trinomial. ________________________________________
18. Give an example of two binomials whose sum is a binomial. ________________________________________
19. Give an example of two binomials whose product is a binomial. ________________________________________
20. Give an example of two polynomials whose product is a trinomial. ______________________________________
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