Page 11 - 新思维数学学生用书7 样章
P. 11

1   Integers



                   Exercise 1.1


                   1    Do these additions.
                        a    −3 + 4          b    3 + −7           c    −4 + −4         d    9 + −5
                   2    Do these subtractions.
                        a    −1 − 5          b    3 − −5           c    −3 − 7          d    −4 − −6

                   3    Work out:
                        a    4 + −6          b    4 − −6           c    −4 + 6          d    −4 − 6
                   4    Work out the missing integers.
                        a    6 +    = 10     b    6 +    = 4       c    6 +    = −4     d    6 +    = 0

                   5    Two integers add up to −4. One of the integers is 5. Work out the
                        other integer.                                                        Tip
                   6    −1 and 7 is a pair of integers that add up to 6.                      A ‘pair of
                        a    Find four pairs of integers that add up to 1.                    integers’ means

                        b    How can you see immediately that two integers add up to 1?       ‘two integers’.
                   7    ● and ▲ are two integers.
                        a    Show that ● + ▲ and ▲ + ● have the same value.
                        b    Do ● − ▲ and ▲ − ● have the same value? Give evidence to

                             justify your answer.
                   8    Copy and complete this addition table.

                         +   −4   6   −2

                         3        9


                         −5
                   9    Copy and complete these addition pyramids. The first one has

                        been started for you.                                                 Tip
                        a                           b                                         In part a,
                                                                                              3 + −5 = −2.
                                 –2

                               3   –5   1                  –2   –3   5


                        c                           d                             e
                                                                3                            –7

                                                              2                                 –6

                               2   –4   –6                 –3                                      2








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