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Matematik  Tingkatan 1  Bab 4 Nisbah, Kadar dan Kadaran

                     Perkaitan antara Nisbah, Kadar dan Kadaran dengan Peratusan,
               4.5   Pecahan dan Perpuluhan
                     Relationship between Ratios, Rates and Proportions, with Percentages, Fractions
                     and Decimals                                                                 BUKU TEKS  ms. 93 – 99


                L    Tukar setiap peratusan kepada nisbah a : b dengan keadaan b = 100.   TP 2   ARAS R
                    Convert each percentage into a ratio a : b where b = 100.

                  Contoh                  1.  51%  =   51          2.  72% =   72            3.  89% =   89
                                                   100                      100                       100
                      30
               30%  =                              = 51 : 100               = 72 : 100                = 89 : 100
                      100
                    = 30 : 100



               M    Tukar setiap nisbah kepada peratusan.   TP 2   ARAS R
                    Convert each ratio into a percentage.
                  Contoh                  1.  1 : 5 =    1         2.  7 : 20 =   7          3.  8 : 25  =   8

                                                    5                        20                        25
                      1
               1 : 4  =                            1 × 20                     7 × 5                     8 × 4
                      4                          =   5 × 20                =   20 × 5                =   25 × 4
                      1 × 25
                    =                              20                         35                        32
                      4 × 25                     =                         =                         =
                      25                           100                       100                       100
                    =
                      100                        = 20%                     = 35%                     = 32%
                    = 25%


               N    Selesaikan setiap yang berikut.   TP 4   ARAS S
                    Solve each of the following.

                  Contoh                                           1.  Nisbah bilangan bola sepak kepada bilangan bola tenis
                                                                      di dalam sebuah bilik sukan ialah 3 : 17. Cari peratusan
               Nisbah bilangan epal kepada bilangan oren di dalam sebuah   bola tenis di dalam bilik sukan itu.
               peti sejuk  ialah 2 : 3.  Cari peratusan epal di dalam peti   The ratio of the number of footballs to the number of tennis balls
               sejuk itu.                                             in a sports equipment storeroom is 3 : 17. Find the percentage
               The ratio of the number of apples to the number of oranges in   of the tennis balls in the sports equipment storeroom.
               a refrigerator is 2 : 3.  Find the percentage of the apples in the
                                                                          bola sepak  :   bola tenis
               refrigerator.
                                                                            footballs  :   tennis balls
                   epal   :  oren                                     =       3      :     17
                  apples  :  oranges
               =    2     :   3
                                                                      Nisbah bilangan bola tenis kepada jumlah bola
               Nisbah bilangan epal kepada jumlah buah-buahan         Ratio of tennis balls to total balls
               Ratio of apples to total fruits                        = 17 : 3 + 17
               = 2 : 2 + 3                                            = 17 : 20
               = 2 : 5
                                    2 × 20                                                  17 × 5
               Peratusan epal     =                                   Peratusan bola tenis   =
               Percentage of the apples  5 × 20                       Percentage of tennis balls  20 × 5
                                     40                                                      85
                                  =                                                       =
                                    100                                                     100
                                  = 40%                                                   = 85%



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