Page 327 - Basic College Mathematics with Early Integers
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304                            C HAPTE R 4 I DECIMALS


        PRACTICE 11                      Example 11     In 2050, the                       451.8 million in 2050
        In 2007, there were 60.7 million                population of
        married couples in the United   the United States is projected to
        States.Write this number in     be 451.8 million. Write this
        standard notation.              number in standard notation.
        (Source: U.S. Census Bureau)    (Source: U.S. Census Bureau)



                                        Solution:   451.8 million = 451.8 * 1 million
                                                                = 451.8 * 1,000,000 = 451,800,000
                                          Work Practice 11


                                       Objective      Using Decimals as Replacement Values

                                       Now let’s practice working with variables.



        PRACTICE 12                      Example 12     Evaluate xy for x = 2.3  and y = 0.44.
        Evaluate 7y for  y =-0.028.
                                                                       #
                                        Solution:  Recall that xy means x y.
                                            xy = (2.3)(0.44)     2.3
                                                              * 0.44
                                                                  92
                                                                  920

                                               = 1.012 —       1.012
                                          Work Practice 12


                                       Objective      Finding the Circumference of a Circle

                                       Recall from Section 1.3 that the distance around a polygon is called its perimeter.
                                       The distance around a circle is given the special name circumference, and this dis-
                                       tance depends on the radius or the diameter of the circle.



                                         Circumference of a Circle


                                                                   Radius            r

                                                                Diameter          d

                                                             # #
                                                                                           #
                                            Circumference = 2 p radius or Circumference = p diameter
                                                                 C = 2pr or C = pd



                                           In Section 4.1, we learned about the symbol  as the Greek letter pi, pronounced
                                                                                p
                                       “pie.” It is a constant between 3 and 4.A decimal approximation for  is 3.14.Also, a   Copyright 2012 Pearson Education, Inc.
                                                                                                 p
                                                                  22
                                                              p
                                       fraction approximation for  is   .
                                                                   7
        Answers
        11. 60,700,000  12. -0.196
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