Page 56 - Math Course 2 (Book 1)
P. 56

Real Number System




                                                   3                2
                                                                        26
          Replace the • with <, >, or = to make           • 7  4  Order           ,           ,        , and              from least
                                                                  5
                                           61
                                                                            5.4
                                                                                      29
                                                                    3
          a true statement.                                to greatest
          A. <                                              A.   5  2  5.4  29    26
                                                                   3
          B. >                                                                 2
          C. =                                              B.   26    29    5  3  5.4
          D. none of the above
                                                            C.   5  2  5.4   26    29
           Answer                                                  3
                                                                                     2
                                                            D.    26    29   5.4   5
                                                                                     3
                                                             Answer



         MO. 2 - L2b

                     Square Roots:                                       Let’s Begin

                  Solving Equations


                     Vocabulary A-Z                        Solve Equations

                     Let us learn some vocabulary
                                                            Examples



        Real numbers
                                                             Solve w² = 169. Round to the nearest tenth, if
                                                             necessary.
        The set of rational numbers and the set of irrational
        numbers together make up the set of real numbers.      w = 169                Write the equation.
                                                               2
                                                                                      Take the square root
                                                             w 2  =  169              of each side.



                                                              w =   169 or –   169    Find the positive and
                                                                                      negative square root.
                                                              w = 13 or w = –13


                                                               Answer       The solutions are 13 and –13.


                                                                  2
                                                            Solve r   = 50. Round to the nearest tenth, if
                                                            necessary.
         Key Concept                                            r = 50                Write the equation.
                                                               2

                                                                                      Take the square root
         Irrational Numbers                                  r 2  =  50               of each side.


         An irrational number is a number that cannot be       r =   50  or –  50     Find the positive and
                       a                                                              negative square root.
         expressed as        , where a and b integers and b
                       b
         does not equal 0.                                     r = 7.1 or r = –7.1    Use a calculator.

                                                               Answer      The solutions are 7.1 and –7.1.


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