Page 14 - 新思维数学学生用书7 样章
P. 14

1.2  Multiplying and dividing integers




                       Continued

                       Answer

                       a    20 ÷ 5 = 4, so −20 ÷ 5 = −4.
                       b    20 ÷ 10 = 2, so 20 ÷ −10 = −2.
                       c    1 + −4 = −3                                First, do the addition in the brackets.
                            5 × (1 + −4) = 5 × −3 = −15.               Then multiply the answer by 5.







                     Exercise 1.2

                     1    Work out:
                          a    3 × −2           b   5 × −7            c    10 × −4         d    6 × −6

                     2    Work out:
                          a    −15 ÷ 3          b   −30 ÷ 6           c    −24 ÷ 4         d    27 ÷ −9
                     3    Work out the missing numbers.

                          a    9 ×     = −18                          b    5 ×    = −30
                          c    −2 ×     = −14                         d    −8 ×    = −40
                     4    Work out the missing numbers.
                          a    −12 ÷     = −3                         b    18 ÷    = −9
                          c         ÷ 4 = −4                          d        ÷ 10 = −2

                     5    The product of two integers is −10.
                          Find the possible values of the two integers.



                     How can you be sure you have found all the possible answers?



                     6    Copy and complete this multiplication table.                                   ×   −3   −5
                     7    Estimate the answers to these calculations by rounding to the nearest whole
                                                                                                         5
                          number.
                          a    −3.2 × 6.8                             b    9.8 × −5.35                   7

                          c    −16.1 ÷ 1.93                           d    7.38  ÷ −1.86
                     8    Estimate the answers to these calculations by rounding the numbers.
                          a    −53 × 39         b   32 × −61          c    −38 × 9.3       d    493 ÷ −5.1
                     9    Work out these calculations. Do the calculation in the brackets first.

                          a    3 × (−6 + 2)     b   −4 × (−1 + 7)     c    5 × (−2 − 4)    d    −2 × (3 − −7)







                                                                                                                   13
   9   10   11   12   13   14   15   16   17   18   19