Page 8 - Mathematics Grade 11 Manual
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GR 11 MATHEMATICS  - Unit 1:  Number and number relationships                                 7

            1.      THE REAL NUMBER SYSTEM






                                                             Real numbers







                                              Rational numbers          Irrational numbers

                                                                                 e.g.





                   Natural numbers            Whole numbers                   Integers

                      {1; 2; 3; …)               {0; 1; 2; …}              {…;-1; 0; 1; …}




            Real numbers:         Real numbers is a set of numbers that is made up of both rational and
                                  irrational numbers.



                                                                                                           s
            Rational numbers:            A rational number is a number that can be written in the form
                                                                                                           l

                                         where s and l  are integers and l is not equal to zero.

                                          s                  
                                                     Z
                                            ;s  , ,l   ;l   0 
                                           l
                                                              

            Irrational numbers:          An irrational number is a number that cannot be written in the

                                               s
                                         form    .
                                               l



            Natural numbers:             Natural numbers is a set of numbers which starts with the number
                                         one and  increases in units of one to infinity.




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