Page 25 - Math Smart - 7
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Investigate

                                                                                     lO           Spotlight
           Use the tests of divisibility to investigate which of the following numbers
           can divide 2520 exactly.
                                                                                          Divislbiiity rule for
                                                                                          Seven
                                3               4           5                6
                                                                                          Subtract twice the
                                                                                          last digit from the
                      8              9               10            100
                                                                                          number formed by the
                                                                                          remaining digits.
                                                                                          Is 651 divisible by 7?
                                                                                         65-(1 X 2) = 63

                                                                                          Since 63 is divisible by 7,
        Check My                                                                          so is 651.
         Understanding
                                                                                          Divisibility rule for
                                                                                          Eleven
           O Match the number with the correct test of divisibility.                      Subtract the last digit

                                                                                         from the number
                                              A number is divisible by this number       formed by the
                                              if the sum of its digits is a multiple      remaining digits.
                                              of 9.
                                                                                          Is 396 divisible by 11?
                    3                         A number is divisible by this number
                                                                                          39-6 = 33
                                              if its last two digits are 00.
                                                                                          Since 33 is divisible by
                    4                         A number is divisible by this number
                                                                                          11, so is 396.
                                              if the number formed by its last three
                                              digits is a multiple of 8.

                    5                         A number is divisible by this number
                                              if the last digit is an even number.

                    6                         A number is divisible by this number
                                              if its last digit is 0.

                    8                         A number is divisible by this number
                                              if it is divisible by 2 and also by 3.

                    9                         A number is divisible by this number
                                              if the number formed by its last two        Being a multiple of 3
                                              digits is divisible by 4.                   means the number is also

                    10                        A number is divisible by this number        divisible by 3. Being a
                                                                                          multiple of 8 means it is
                                              if the sum of its digits is a multiple
                                              of 3.                                       divisible by 8.
                   100                        A number is divisible by this number
                                              if its last digit is 0 or 5.
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