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5

               State the rate and the two quantities (including the units) involved in each of the following
               situations.
               (a)  Fatin buys 2 kg of mangoes at the total price of RM10.
               (b)  A car consumes 1 litre of petrol for a distance of 12 km.


                           RM10                                        12 km
               (a)  Rate =                                 (b)  Rate =
                            2 kg                                       1 litre
                   The two quantities involved are mass        The two quantities involved are
                   (kg) and total amount of money (RM).        distance (km) and volume (litre).
       CHAPTER
       4
               Conversion of units of rates
               Two stalls sell cherry tomatoes from
               Cameron  Highlands.  Which stall  sells
               cherry tomatoes at a cheaper price?
               To compare the price rates, convert the
               units first.
                                                                   Stall A               Stall B
                                                        RM8
               The price of cherry tomatoes at stall B =
                                                        500 g                          Try to convert
                                                                                       RM15 per kg to
                                                         8 × 2
                                                     =                                 RM per 500 g
                                                        500 × 2                        and compare
                                                         16                            the price rates.
                                                     =
                                                        1 000     1 000 g = 1 kg
                                                     = RM16 per kg

               Thus, the price of cherry tomatoes at stall A is cheaper than
               the price of cherry tomatoes at stall B.

                            6

               (a)  Rajan is riding his bicycle at a speed of 5 m/s. Convert 5 m/s to km/h.
               (b)  The density of a type of metal is 2 700 kg per m .
                                                                   3
                   State the density of this metal in g per cm .
                                                            3
                                                                                  m/s means metre
               (a)  5 m/s                        (b)  Density                     per second.
                      5 m
                   =                                    2 700 kg
                       1 s                           =    1 m 3
                   = 5 m ÷ 1 s                                              1 kg = 1 000 g

                        5             1              =   2 700 × 1 000
                   =         km ÷          h           100 × 100 × 100      1 m
                                                                               3
                      1 000        60 × 60
                                                                3
                        5      60 × 60               = 2.7 g/cm             = 1 m × 1 m × 1 m
                   =         ×                       = 2.7 g per cm         = 100 cm × 100 cm × 100 cm
                                                                   3
                      1 000       1
                   = 18 km/h
           82
           Chapter 4



       04 TB Math F1.indd   82                                                                        11/10/16   12:12 PM
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