Chapter 1: Linear Functions, Equations, and Inequalities 1.1: Real Numbers and the Rectangular Coordinate System 1. (a) The only natural number is 10. (b) The whole numbers are 0 and 10. (c) The integers are 12 6, (or 3),0, 4   10. (d) The rational numbers are 12 5 6, (or 3), ,0, .31, .3, 4 8    and 10. (e) The irrational numbers are  3, 2 and 17.  (f) All of the numbers listed are real numbers. 2. (a) The natural numbers are 6 (or3),8,and 81(or 9). 2 (b) The whole numbers are 6 0, (or 3),8,and 81(or 9). 2 (c) The integers are 14 6 8, (or 2),0, (or 3),8,and 81(or 9). 7 2   (d) The rational numbers are 14 6 8, (or 2), .245, (or 3),8,and 81(or 9). 7 2    (e) The only irrational number is 12. (f) All of the numbers listed are real numbers. 3. (a) There are no natural numbers listed. (b) There are no whole numbers listed. (c) The integers are   100(or 10)and 1. (d) The rational numbers are 13 100 (or 10), , 1,5.23,9.14,3.14, 6    and 22 . 7 (e) There are no irrational numbers listed. (f) All of the numbers listed are real numbers. 4. (a) The natural numbers are 3, 18, and 56. (b) The whole numbers are 3, 18, and 56. (c) The integers are   49(or 7),3,18,and56. (d) The rational numbers are    49(or 7), .405, .3,.1,3,18,and 56. (e) The only irrational number is 6 .  (f) All of the numbers listed are real numbers. 5. The number 16,351,000,000,000 is a natural number, integer, rational number, and real number. 6. The number 700,000,000,000 is a natural number, integer, rational number, and real number. 7. The number 25  is an integer, rational, and real number.