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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
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:

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2_Classification_of_Numbers_and_Set_Notation_HW[1]

  • 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: