Page 43 - Mathematics
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7.  Find the absolute value in each of the following expressions.
                                                                       1  + 1
                                                          
                    (a)    2 × 3  9                  (d)  6 +  1     4 ÷  1  2         (g)   2  3
                                                          
                                                                        4
                        3    16                4    2              2 ++   1 1
                                                                     3  5    4                   Tanzania Institute of Education
                                                                        2    4  3
                          1 7       3        4   3     7          6 ×  3  2 −  5
                    (b)   2 × ÷−   3       (e)   − ×   + 4          (h)
                                 
                          28        4        5   7    10           2  2  4   3
                                                                       2 ×     −
                                                                       3    5 
                                                                              3
                                              1 
                          4 33
                                                    7
                    (c)   −÷                   (f) 5 − − +  3               (i)  − 16   × − ×−  2   
                                                 
                                                                           
                          5 25                2       11             5     8    9 
               8.   Write the following using the recurring decimal notation, hence convert
                    each of the decimals into fractions.
                    (a) 0.22442244…             (d) 0.1010101010…
                    (b) 0.123123123123…         (e) 2.153846153846…
                    (c) 1.578578578…
               9.  Write each of the following fractions into decimals.
                        5          29          5             40              7
                    (a)            (c)   6          (e)  12               (g)  33                   (i)  15
                        9

                       14           2         5              4                1
                    (b)            (d)          (f)                (h)                    (j)
                       11          27         11            27               13

                                        
                            
               10.  If x = 0.15 and  y =  0.3, find the value in each of the following in fraction.
                                    x         y
                    (a)   x y+     (b)          (c)
                                    y         x
               11.  Identify each of the following as rational or irrational numbers.
                           90            1
                    0.75,      , 7, 12,
                         12007            2                   1
               12.  Identify whether or not, a mixed number  3−   is rational.
               13.  Write all real numbers from 5 to 6.       2
                                                   2                   24      1
               14.  A rational number N is equal to    times the sum of    and    . Find
                    the number N.                  5                   7       14                  Mathematics Form One
               15.  Identify fractions which are equivalent to each of the following decimals.
                    (a) 2.344444444…     (b) 21.305305305305…   (c) 0.17171717…




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                                                                                        25/10/2024   09:51:12
   Mathematics form 1.indd   37                                                         25/10/2024   09:51:12
   Mathematics form 1.indd   37
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