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9

                 Represent the following fractions on a number line.                                          CHAPTER
                                                                                •  Positive fractions are on
                 1       1      –      –                                          the right of zero.          1
                                   1
                             3
                               ,
                   ,
                        ,
                 2    4      4     2                                            •  Negative fractions are
                                                                                  on the left of zero.

                     –1   –  3 4  –  1 2   0    1    1         1
                                                     2
                                                4
                     Self Practice       1.3a


                 1.   Represent the following fractions on a number line.
                           1     3   1     1                         1   1   1      2
                                                                       ,
                                                                           ,
                                                                               ,
                             ,
                                   ,
                                       ,
                     (a)        –         –                   (b)  –              –1
                          10     5   2     5                         3   6   2      3
                      How do you compare and arrange positive and                    LEARNING
                      negative fractions in order?                                        STANDARDS
                                                                                  Compare and arrange
                                                                                  positive and negative
                 The  values of two or more fractions can be compared by          fractions in order.
                 equating  the denominator  first. Subsequently the fractions
                 can be arranged in ascending order or descending order.

                             10

                 Compare and arrange the following fractions in ascending order.
                                      3
                                1     –     –1     1     –1     –
                                            1
                                                             3
                                                      5
                                              ,
                                                  ,
                                  ,
                                                         ,
                                       ,
                                8     4     4   2     8      8

                  1     3      1    1      5      3
                          ,
                    ,
                       –      –1  ,     ,    –1  ,    –
                  8     4      4    2      8      8

                  1     6       2    4      5     3
                    ,
                          ,
                       –      –1  ,     ,    –1  ,    –
                  8     8       8    8      8     8
                   –2     –1 5 8   –1 2 8  –1  –  6 8  – 3       0 1         4          1
                                                         8
                                                                             8
                                                                    8
                                   –1 1        –  3                          1 2
                                     4
                                                 4
                 Hence, the fractions arranged in ascending order are
                               3
                    5
                                     3
                                       ,
                 –1 ,   –1  1  ,   –      –      1  ,    1
                                 ,
                    8     4    4     8   8   2
                                                                                                       15
                                                                                 Rational Numbers
       01 TB Math F1.indd   15                                                                        10/20/16   11:55 AM
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