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








                                                                                                 21 st
                          Activity                                                             Century   #Experiential Learning
                                                                                                Skills


                   Draw a paired dot arrangement for any even number and any odd number. Then, add
                   some dots to them, and write your observation. Repeat the process by adding different
                   numbers of dots.


                example 3. Here are some arranged dots. Add 2 dots to each arrangement and check
                whether the number of dots obtained is even or odd.

                           a.                 b.                c.                 d.                  e.





                Solution. a.                           b.                          c.





                               5 + 2 = 7 (odd)            6 + 2 = 8 (even)             7 + 2 = 9 (odd)
                            d.                         e.                                              Tips

                                                                                                 Even + Even = Even

                                                                                                 Odd + Odd = Even
                                8 + 2 = 10 (even)          9 + 2 = 11 (odd)                      Even + Odd = Odd

                PALindroMeS                                                                      Odd + Even = Odd


                Read the following words: DAD, MOM
                Does each word change when read from right to left or vice versa? No, it does not.

                Such  words are  palindrome  words. Similarly, 121, 14341, 22, etc.  are palindrome
                numbers.
                A number that reads the same forward and backwards is called a palindrome number.

                To get a palindrome number, we simply need to follow these steps.
                    •  Take any two-digit number.

                    •  Reverse the number.
                    •  Add both the numbers.

                    •  Repeat the steps until you get the palindrome.
                For example:  Number taken → 34

                                  Reverse the number → 43
                                  Add them → 34 + 43 = 77 (palindrome)



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