Page 170 - New Medley 5 Semester 1
P. 170

3.  Place the two strips together side-by-side aligning at one end.


                                                                24 cm



                                                                                      9 cm


                                                   15 cm

                     Mark and cut out the extra part of the
                                                                                             15 cm
                     red strip that exceeds the yellow one.

                 4.  Then, put this cut-out of the red strip
                                                                                                            6 cm
                     with the yellow strip as shown alongside.
                                                                                    9 cm
                     Mark the extra part of the yellow strip
                     and cut it out.

                 5.  Again,  place  the  yellow  cut-out  and  red  cut-out
                                                                                                       9 cm
                     together aligning at one end. Cut out the remaining
                     part of the red strip.
                                                                                                                 3 cm
                 6.  Now, observe how many times you can put red strip
                                                                                                   6 cm
                     along the yellow strip from end-to-end.
                                                                                                   6 cm
                     Here, we see that the red strip goes twice along the
                     yellow one.

               Observation:  From  the  above,  we  observe  that  a  strip
                                                                                                       3 cm
               of length 3 cm can measure exactly the strips of length
               24 cm and 15 cm.


               Conclusion: Thus, we conclude that the HCF of 24 and 15 is 3.

               Perform the above activity for these pairs of numbers.

                 1.  12 and 20     2. 25 and 40     3. 18 and 30




















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