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Finding the cube and finding the cube root are inverse operations.

                                           cube                               Think     Smart
                                                                                 The cube root of a
                                     2              8
                                                                                 number is the same
                                        cube root                                as the number itself.
                                                                                 What is the number?

                           10
       CHAPTER
       3
               Complete each of the following:
               (a)  4 × 4 × 4 = 64                        (b)  (– 0.5) × (– 0.5) × (– 0.5) = – 0.125
                                                                     
                         
                                                                     3
                         3
                   Thus 64 =    3    ×     ×                   Thus – 0.125  =  3    ×     ×
                              =                                               =
                     1
               (c)   1 2 3  =   1
                     6     216
                   Thus   3  1    =  3
                           216
                                =


                           
                                                               
                                                                          
                   
                                                                          3
                           3
                   3
                                                               3
               (a)  64  =  4 × 4 × 4                      (b)  – 0.125 =  – 0.5 × (– 0.5) × (– 0.5)
                         = 4                                            = – 0.5
                      1        1  3
               (c)  3      =  3  1 2
                     216       6
                             1
                          =
                             6
                   Self Practice       3.2b
               1.  Copy and complete each of the following:
                   (a)  8 × 8 × 8 = 512                      (b)  0.3 × 0.3 × 0.3 = 0.027
                                                                       
                              
                              3
                                                                       3
                        Thus, 512  =   3    ×     ×              Thus,  0.027  =  3    ×     ×
                                    =                                          =
                        1
                                   1
                   (c)  –   1 2 3  = –
                           2       8
                                  1
                        Thus,   3 –     =  3
                                  8
                                     =

           62
           Chapter 3



       03 TB Math F1.indd   62                                                                        11/10/16   12:09 PM
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