Page 98 - Math Skill - 4
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96                                                                                                  Maths

        The higher units of length are:                    The smaller units of length are:

          1 Kilometre        =  1000 metres                 10 mm  =  1 cm (centimetre)

          1 Hectometre       =  100 metres                  10 cm  =  1 dm (decimetre)
          1 Decametre        =  10 metres                   10 dm  =  1 m (metre)


        Hence, 1 m = 10 dm = 100 cm = 1000 mm.

        Converting Higher Units of length to Lower Units and Vice-Versa

        To convert higher units to lower units, we multiply the higher unit by 10 for each step as
        illustrated here:

                   × 10            × 10            × 10            × 10            × 10            × 10
            km              hm             dam               m              dm               cm             mm

        To convert lower units to higher units, we divide the lower unit by 10.

                   ÷ 10            ÷ 10            ÷ 10            ÷ 10            ÷ 10            ÷ 10
            km             hm             dam               m              dm              cm               mm


        Let us learn through examples.


              Let’s Attempt

        Example 1:  Convert 17 km into metres.

        Solution:      Since, 1 km = 1000 m
                       Thus, 17 km = (17 × 1000) m = 17000 m
        Example 2:  Convert 19 cm into mm.

        Solution:      Since, 1 cm      = 10 mm
                       Thus, 19 cm  = (19 × 10) mm =  190 mm

        Example 3:  Convert 23 km 25 m into m.
        Solution:      23 km 25 m       = (23 × 1000) m + 25 m                                    [1 km = 1000 m]
                                        = 23000 m + 25 m = 23025 m

        Example 4:  Convert 15 m 75 cm into cm.
        Solution:      15 m 75 cm       = (15 × 100) cm + 75 cm                                     [1 m = 100 cm]

                                        = 1500 cm + 75 cm = 1575 cm
        Example 5:  Convert 28 cm 8 mm into mm.
        Solution:      28 cm 8 mm  = (28 × 10) mm + 8 mm                                           [1 cm = 10 mm]

                                        = 280 mm + 8 mm = 288 mm
        Example 6:  Convert 12506 m into km and m.

        Solution:      12506 m          = (12000 + 506) m = 12000 m + 506 m
                                        = (12000 ÷ 1000) km + 506 m                                1 m =   1  km  
                                                                                                                   
                                                                                                  
                                        = 12 km + 506 m = 12 km 506 m                                    1000     
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