Page 16 - Mathematics
P. 16

3
                  =  2+ .
                       5

               To draw a number line, take 2 units from 0 towards the right side and then
               divide the third unit into 5 equal parts. Add the 2 units and the 3 parts out of
                                      13                  13
               the 5 parts to complete   . Also, convert  −    into a mixed number, that
                     3                 5                   5
               is,  2.−
                     5

               Repeat the same procedure from 0 to the negative side of the number line to
                           13              13       13
               represent  −   . Therefore,    and −    on a number line are represented
    Tanzania Institute of Education
                            5              5         5
               as shown in the following number line.









               Exercise 2.1


               1.  Represent each of the following rational numbers on a number line.

                                       1             3
                    (a)  5        (c)           (e)            (g)   0
                                       5             4
                                                     3
                        7
                    (b)           (d)  4.5      (f)              (h)   3 3
                        3                            2               4
               2.  Show the position of each of the following rational numbers on a number
                    line.
                         2            16             25             5
                    (a)  2        (c)             (e)                 (g)
                         3             8             6              5
                        6             0             25             50
                    (b)              (d)            (f)   50              (h)   25
                        1
                                      3
    Mathematics Form One  4.   (a)  3             (b)   −         (c)  –3  11  3  1
               3.  Represent each of the following numbers on a number line.
                                        5
                                        2
                    (a)   Write all negative and positive rational numbers from the following
                           list of numbers.

                                             2.85, 7.14, 12.64646464,
                      5,−  0, 12,  3.416520...,−
                                                                                 3
                                                  10                  5  , −  5 , −  2.




                                                                                        25/10/2024   10:24:22
   Mathematics form 1.indd   10
   Mathematics form 1.indd   10                                                         25/10/2024   10:24:22
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