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                                                                                    
                 Find the value of each of the following without using           (b)  – 0.008
                                                                                    3
                 a calculator.                                                              8
                                                      
                     
                                                      3
                     3
                 (a)  0.027                       (b)  – 0.008                      = 3 –   1 000
                                                                                           2
                                                                                    = 3  1 –   10 2 3         CHAPTER
                     
                     3
                                                      3
                                                       – 0.008
                 (a)  0.027      Express as a cube   (b)                               2
                       3
                                                        3
                     = 0.3       in terms of other      =  (– 0.2)                  = –   10                  3
                        3
                                                         3
                     = 0.3       decimal number.      = – 0.2                       = − 0.2
                     Self Practice       3.2d
                                                
                                                3
                                         3
                                     3
                 1.  Given 9 261 = 3  × 7 , find  9 261  without using a calculator.
                          
                          3
                 2.  Find  2 744  by using the prime factorisation method.
                 3.  Find the value of each of the following without using a calculator.
                         
                                              
                                                                   
                                                                                       3
                                              3
                                                                   3
                         3
                                                                                        –1 000
                     (a)  27             (b)    –125          (c)    343           (d)  
                 4.  Find the value of each of the following without using a calculator.
                            8                     1                 24                    61
                     (a)  3              (b)    3 –           (c)  3               (d)  3 1
                          125                     27                81                    64
                                                                   
                         
                                                                                       
                                                                                       3
                                                                   3
                                              3
                         3
                     (e)  0.001          (f)                (g)  – 0.216         (h)  0.000343
                                               – 0.064
                      How  do you determine the cube root of a
                      number using technological tools?                             LEARNING
                                                                                          STANDARDS
                             16                                                  Determine the cube
                                                                                 root of a number using
                 Calculate  the  value  of each of the  following  by using a    technological tools.
                 calculator. Give your answer correct to two decimal places.
                     
                     3
                                           3
                                            –104.8
                 (a)  24              (b)                  (c)  3 –1  2
                                                                     9

                     
                     3
                                                          3
                 (a)  24  = 2.88 (2 d.p.)         Press         2   4   =
                     
                     3

                 (b)  –104.8  = – 4.71 (2 d.p.)   Press     3  (–)   1   0   4   ·   8   =
                         2
                 (c)  3 –1    = –1.07 (2 d.p.)    Press     3  (–)   1   a c   2   a c   9   =

                                                                                b
                                                                        b


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                                                            Squares, Square Roots, Cubes and Cube Roots
       03 TB Math F1.indd   65                                                                        11/10/16   12:10 PM
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