Page 16 - 新思维数学学生用书8 样章
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1.2  Multiplying and dividing integers




                       Continued

                            c    Here is the start of another sequence of multiplications.
                                 −×54   =

                                 −× =
                                   53
                                 −× =
                                   52
                                 Copy the sequence and write six more terms.
                                 Describe any patterns in the sequence.

                            d    In the sequences in a and c, you have some products of two negative
                                 integers. What can you say about the product of two negative integers?
                            e    Make up a sequence of your own like the ones in a and c.
                            f    Share your answers to parts d and e with a partner. Are your partner’s

                                 sequences correct?


                     2    Work out these multiplications.
                          a    5 ×−  2             b    −×52               c    −× − 2             d    −× −5
                                                                                 5
                                                                                                          2
                     3    Work out these multiplications.
                          a    −× − 4              b    −× − 7             c    −10 × −6           d    −8 × −11
                                                         7
                                 6
                     4    Copy and complete this multiplication table.
                              ×      −5       3      −8

                              4
                             −3              −9
                             −6      30

                     5    Work out
                          a    (3 + 5) × −4                     b    (−3 + −5) × −6            Tip
                          c    −4 × (5 − 8)                     d    −6 × (−2 − −7)            Do the calculation

                     6    Round these numbers to the nearest whole number to estimate          in brackets first.
                          the answer.
                          a    3.9 × −6.8                       b    −11.2 × 2.95

                          c    (−6.1) 2                         d    (−4.88) 2
                     7    a    Put these multiplications into groups based on the answers.
                               3 × −4    −6 × −2    12 × 1
                               −4 × −3    2 × −6    −12 × −1
                          b    Find one more product to put in each group.










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