Page 18 - 新思维数学学生用书8 样章
P. 18

1.2  Multiplying and dividing integers




                       Continued

                            e    Can you make a conjecture about the answer when
                                 you divide an integer by a negative integer?

                                 Test your conjecture.
                            f    Compare your answer with a partner’s answers.
                                 Have you made the same conjectures?



                     12  Work out these divisions.                                              Tip
                          a    18 ÷ −6            b    −28 ÷ −4           c    30 ÷ −6
                          d    −30 ÷ −10          e    42 ÷ −6            f    −24 ÷ −4         Remember,
                          g    60 ÷ −5            h    −25 ÷ −5                                 division is the

                     13  Here are three multiplication pyramids.                                inverse of
                          a                       b                       c                     multiplication so
                                                                                  –200
                                                                                                you will divide as
                                      6                  12  –8                      –20        you work down

                               5   –1                      –2                           –4      the pyramid.


                          Copy and complete each pyramid.
                     14  Work out
                          a    (3 × −4) ÷ −2                  b    (2 − 20) ÷ −3
                          c    (−3 + 15) ÷ −4                 d    24 ÷ (2 × −4)

                     15  Find the value of x.
                          a    x ÷ −4 = 8                     b    x ÷ −3 = −15
                          c    16 ÷ x = −2                    d    −15 ÷ x = 3
                     16  Round these numbers to the nearest whole number to estimate

                          the answer.
                          a    −8.75 ÷ 2.8                    b    18.1 ÷ −5.9
                          c    −28.2 ÷ −3.8                   d    −35.2 ÷ −6.9

                     17  Round these numbers to the nearest 10 to estimate the answer.
                          a    −48 × −29                      b    −18.1 × 61.5
                          c    −71.4 ÷ −11.8                  d    −99.4 ÷ 19

                       Summary checklist

                           I can multiply two negative integers.

                           I can divide any integer by a negative integer.







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