1. Algebra II Pre-AP Name________________________
Classification of Numbers and Set Notation HW Date Due 8/25/10 Period_______
Classification of Numbers
Mark all that apply.
Problem Numbers Real Rational Integer Whole Natural Irrational
1 4
2 6/7
3 π
4 169
5 0.415
6 17
Set Notation
Example Using Words: The set of all integers between 4 and 8
Roster Notation: 5,6,7
Set Notation: {x x , 5 x 7}
Use set notation to represent the following sets of numbers:
7. The set of all real numbers 10. All real numbers, except 0
___________________________ __________________________
8. The set of all real numbers greater
than 7 11. All natural numbers between 3 and 7
__________________________ __________________________
9. All real numbers between -1 and 39 12. The set of positive rational numbers
__________________________ ___________________________
See back
2. Review: Input each with the symbol <, >, or = to make the sentence true.
13. -7 -9 16. 0.8 4/5
14. 14 √14 17. 3.04 3.4
15. 0.72737475… 0.73737373… 18. -1/4 -1/3
Geometry review: Justify your answer.
19. The length of a side of an equilateral triangle is 4. Which type of number best describes
the length of the altitude of the triangle?
A Whole Number C Rational Number
B Integer D Irrational Number
Justify your answer:
20. Robin needs a cover for her circular pool. The diameter of the pool is 20 feet. She
calculates that she needs about 314 square feet of material to over the pool. Which
formula can be used to confirm that Robin’s answer is correct?
A Circumference of a circle C Area of a circle
B Surface area of a cylinder D Volume of a cylinder
Justify your answer:
