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The numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 and 400 that you have listed in the
        second column are called square numbers.

         A square number is the product obtained when a whole number is multiplied
         by itself.
                                                                                         O         Spotlight

         1 X 1 can be written as 1^
                                         in each case, the number
         2x2 can be written as 2^                                                          Most calculators have
                                         is multiplied by Itself.
                                                                                                           for
                                                                                           a key like this Q
         3x3 can be written as 3^                                                          finding the square of a
                                                                                           number.
          Example 7




                                                                   • ••••
                                                      • ••• • ••••
                                            ••
                                         •                         • ••••
                                            ••
                            ••           •            • ••• • ••••
                                            ••
              •             ••           •            • ••• • ••••
              1 X 1         2x2            3X3            4X4           5X5

                1             4              9             16             25

          Check My
          Understanding



           O Complete the table. 3^ has been done as an example for you.                            Spotlight

                        Square numbers                 Square numbers
                                                                                            Did you
                                                                                         I Did vou know that when
                      32              9              122
                                                                                            you add odd numbers in
                      42                             132                                    sequence, you get square
                                                                                            numbers?
                      5^                             142
                      6^                             152
                      72                             162
                      8^                              172

                      92                              182                                   1 +3 + 5 + 7 = 16
                      10^                             192
                      112                            202
                                                                                            The numbers 4, 9, 16
                                                                                            and 25 are ail square
           @ On a hundred grid, shade all the square numbers.                               numbers.

           Q Draw a dot pattern to represent each square number,

                a) 72                           b) 9'



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