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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_09
                 \ 12-Sep-2024                      Surender Prajapati   Proof-5              Reader’s Sign _______________________ Date __________

     Example 5: Two containers contain 18 L 300 mL and 17 L 900 mL oil. Find the total quantity

     of oil in the two containers.  math  Encapsulate
     Solution:  L  mL                                        MEASUREMEnT

     1  1                        Measurement of Length                      Measurement of Weight            Conversions
            Quantity of oil in the first container  =  1 8  3 0 0  Olive  Sunflower  Centimetre(cm)- It is the smaller unit of length.   Milligram(mg)- It is   1 km = 1000 m
     Oil
            Quantity of oil in the second container  =  + 1 7  9 0 0  Oil  used to measure very           1 m  = 1/1000 km
                                                                         light things.
            Total quantity of oil in both the containers  =  3 6  2 0 0  Gram(g)- It is                   1 m  = 100 cm
                                                                                                          1 cm = 1/100 m
                                                                         used to measure
           Thus, the total quantity of oil in both the containers is  36 L 200 mL.  Metre(m)-It is another unit   lighter weight.   1 kg  = 1000 g
                   of length used to measure
                                                                                                          1 g  = 1/1000 kg
                   the longer lengths.                                   kilogram(kg)- It is
     Example 6: A milkman sold 80 L 300 mL milk in the morning and 98 L 500 mL in the   used to measure   1 L  = 1000 mL
     evening. How much more milk did he sell in the evening than in the morning?  Kilometre(km)-It is the   heavy weights. It is the   1 mL = 1/1000 L
                                                                         standard unit of weight.
     Solution:     bigger unit of length used     141 km                                      Addition
                   to measure the bigger
     L  mL         lengths.
            Quantity of milk sold in the evening  =  9 8  5 0 0          Example:           Weight            Capacity
                                                                            Length
            Quantity of milk sold in the morning  =  – 8 0  3 0 0  Measurement of Capacity  m  cm  kg  g     L       mL

            Difference in both quantities  =  1 8  2 0 0  Millilitre(mL)- Small quantities of liquids are   1  1  1  1  1  1
                   measured in millilitres.                                3 5    6 2
            Thus, in the evening, he sold 18 L 200 mL more milk.                             5   7 6 2       7 2   3 6 0
                   Litre(L)- Large quantities of liquids are             + 1 8    1 8  +     9   6 7 1 +     6 4   9 5 0
                   measured in litres.                                     5 3    8 0     1 5    4 3 3     1 3 7   3 1 0
     Practice time 9f
                                                         Subtraction
     1.  The tailor used 1 m 125 cm of cloth to make a shirt and 1 m 750 cm to make trousers.   Example:  Length  Weight  Capacity

     What is the total length of the cloth used by the tailor to make a shirt and trousers?  m  cm  kg  g  L  mL
                                 6 15    8 11                       15                          13
     2.  The length of the string of Kite A is 4570 m and that of Kite B is 5250 m. Which kite   1 11  5  5 14  1  10  8  3  10
     is flying higher and by how much?   7  5  9 1        2  1    6 6 4              2   0   9   4  0
                               – 2  8    6 2           – 1   4    5 6 9            – 1   5   3   4  6
     3.  The weight of Riya’s bag is 34 kg 750 g and Pratham’s bag is 22 kg 950 g. What is the   4  7  2 9  7  0 9 5  5  5  9  4
     total weight of both bags?

     4.  Family A consumes 15 L 125 mL vegetable oil in a month and Family B consumes 14
     L in the same month. Which family consumes more oil and by how much?   Mental Maths

     5.  An airline allows 35 kg baggage to a business-class passenger and 20 kg 575 g baggage   1.  Which unit is used to measure the weight of a television?
     to its economy-class passenger. Find the difference between the two baggage   2.  A tailor uses a ___________ to measure the length of cloth.

     allowances.     3.  _______ is used to measure the weight of a rice bag.

     6.  I got 14 L 450 mL petrol filled in my bike. The indicator warned me when 3 L of fuel   4.  The capacity of a cough syrup bottle is measured in ___________.
     was left. How much petrol was used when the indicator first warned me?  5.  By how much does 48 km 525 m exceed 26 km 328 m?

                  Mathematics-3                                                                                         169

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