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                 \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





                Relationship between Different units of Length

                Besides these four units, that is, mm, cm, m and km, there are some more units of
                length. Let us see these units and the relationships between them.

                Every move to the right makes the unit 10 times smaller.

                              ×10            ×10          ×10         ×10           ×10            ×10
                    kilometre hectometre decametre             metre     decimetre centimetre           millimetre
                       (km)          (hm)         (dam)         (m)         (dm)          (cm)            (mm)


                              ÷10            ÷10          ÷10          ÷10         ÷10             ÷10

                Every move to the left makes the unit 10 times bigger.


                    To convert a higher             ×1000       ×100         ×10            To convert a lower
                    unit into a lower unit,                                                unit into a higher unit,
                     move towards the            km         m           cm         mm       move towards the
                     right and multiply                                                      left and divide by
                      by 10, 100, 1000                                                         10, 100, 1000
                         and so on.                 ÷1000       ÷100         ÷10                 and so on.

                Conversion using a Double number Line


                Example 1. Complete  the double  number  lines by  filling in the missing  numbers
                appropriately.
                                       × 5
                                                                       ___
                                1 cm       5 cm                15 cm    cm     22 cm      ___ cm     32 cm


                             × 10            × __


                               10 mm     ___ mm                  ___   180     ___ mm     270 mm     ___ mm
                                                                 mm    mm
                                      × __

                Solution.
                                     × 5
                                                                      18
                                                              15     ___
                              1 cm       5 cm                 cm     cm      22 cm      ___ cm     32 cm
                                                                                         27
                          × 10             × __ 10         15 × 10   180 ÷  10  22 ×  10    270 ÷  10   32 ×  10


                                                                                                   ___ mm
                                                                            ___ mm
                                       ___ mm
                             10 mm     50                    150     180   220         270 mm      320
                                                             ___
                                                             mm      mm
                                    × __ 5


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