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               \ 26-Sep-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________





              5.     t    O                t   O                      6.      t   O                t    O



                     5    1                                                   5    6
                 –   2    7            +                                  –   3    8           +




              RelATION BeTWeeN ADDITION AND SUBTRACTION

              There is a special relationship between addition and subtraction facts. This

              relationship can be seen in fact families. A fact family is a set of facts with the same
              three numbers. Look at the collection of stars.

              In the following fact family, all four facts have the numbers 6, 9 and 15.

                    t   O             t   O             t   O             t   O

                         6                 9            1    5            1    5
                +        9        +        6        –        9        –        6
                    1    5            1    5                 6                 9

              There are 18 caps. Out of these, 12 are green and 6 are red.



                                                                                          Knowledge Desk

                                                                                        Did you know that a
              Let us write the fact family for 6, 12 and 18.                            woman's heart generally

                   t   O             t   O             t   O             t   O          beats faster than a man’s?

                   1    2                 6            1    8            1    8         A woman's heart beats 82
                                                                                        times per minute, while a
               +        6        +   1    2        –   1    2        –        6         man's beats 78 times.
                   1    8            1    8                 6            1    2



                       Practice Time 3e

              Write the fact family for each group of numbers.

                1.         5, 6, 11                 2.        9, 12, 21               3.        17, 21, 38

                           +       =                          +        =                         +       =


                           +       =                          +        =                         +       =

                           –       =                          –        =                         –       =


                           –       =                          –        =                         –       =





              Mathematics-2                                                                                          61
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