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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 __________

                             maths fun
                             Anil and Sunil are having a race to see who can run the quickest around
                             a set of 6 rocks. Each boy has to touch each rock but can choose which route to take.
                             The routes are not of the same length. The boys start and finish the race at Rock A.

                             1.  Which is the shortest route around the rocks and back to the start of rock A?

                                Route I: A → B → C → F → E → D → A      or                              START FINISH
                                                                                                          A
                                Route II: A → D → C → B → E → F → A                                                 5 m
                                                                                                      4 m
                             2.  The shortest route from rock A to F is ____ m long.              B
                                                                                                             6 m
                                                                                                                        F
                             3.  The length of the route from rock A to rock C via the rock       4 m    8 m   6 m
                                 B is ______ m long.                                                                  3 m
                                                                                                 C                     E
                             4.  What is the distance of the shortest route from the rock

                                 D to C? _______
                                                                                                        8 m    D  5 m

                  Conversion

                  Metre into Centimetre

                  To convert metres into centimetres, we multiply the number of                          Note
                  metres by 100.                                                                 On converting a bigger
                                                                                                 unit (m) into the smaller
                  Example 1: My mother bought 4 m of cloth for making my kurta.                  unit (cm), we multiply by
                                                                                                 100.  1 m = 100 cm
                  What is its length in cm?

                  Solution:  4 m = (4 × 100) cm = 400 cm

                  Metre and Centimetre into Centimetre

                  To convert metres and centimetres into centimetres, we multiply the number of metres

                  by 100 and add the product to the number of centimetres.

                  Example 2: I bought a silver foil pack of 16 m 72 cm. How much silver foil
                  did I buy in cm?

                  Solution:  16 m 72 cm = (16 × 100) cm + 72 cm = 1600 cm + 72 cm = 1672 cm

                  Centimetre into metre

                  To convert  centimetres into metres and centimetres, we divide the number of metres
                  by 100.

                  Example 3: Convert 600 cm into m.                                                     100 600      6 m
                                                                                                              600
                  Solution:  600 cm = (600 ÷ 100) m = 6 m                                                       0 cm

                  Mathematics-3                                                                                         149

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