Page 22 - 新思维数学学生用书8 样章
P. 22

1.3  Square roots and cube roots




                     13  Any number that can be written as a fraction is a rational number.     Tip
                                                            9
                                         3
                          Examples are 7 , −12  18 , 6,  , −2 10
                                                      1
                                         4
                                                25
                                                     15
                          Here is a list of six numbers:                                        Integers and
                                  1
                                                                    1
                          5   −    −500   16   −4.8   99                                        fractions are
                                                                    2
                                  5
                          Write                                                                 included in the
                          a    all the integers in the list                                     set of rational
                          b    all the natural numbers in the list                              numbers.
                          c    all the rational numbers in the list.
                     14  This Venn diagram shows the relationship                        I
                          between natural numbers and integers.                       N
                          N stands for natural numbers and I for
                          integers.
                          a    Copy the Venn diagram.
                          b    Write each of these numbers in the

                               correct part of the diagram.
                               1   −3   7   −12   41   −100   2              1                  Tip
                                                                             2
                          c    Add another circle to your Venn diagram to show

                               rational numbers.                                                Remember, all
                          d    Add these numbers to your Venn diagram.                          integers are
                                  3
                               −8       3    0   6.3   −     10                                 included in the
                                  7     5                     3                                 rational numbers.
                          e    Give your diagram to a partner to check.


                       Summary checklist

                           I can find and recognise square numbers and their two corresponding square
                            roots.
                           I can find and recognise positive and negative cube numbers and their cube

                            roots.
                           I can recognise natural numbers, integers and rational numbers.























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