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How do you multiply and divide integers?
                                                                                     LEARNING
                                                                                          STANDARDS           CHAPTER
                                                    4       Flip                  Multiply and divide
                                                                                  integers using various
                                                          Classroom
                                                                                  methods. Hence make         1
                 Aim:  To explore the multiplication and division                 generalisation about
                       of integers.                                               multiplication and
                 Instruction:  •  Explore by  yourself before the lesson          division of integers.
                                 begins  and  discuss  in  groups  of  four
                                 during the lesson.
                              •  Open the folder downloaded from page vii.

                 1.  Open and print the file Multiplication of integers table.pdf as shown in the diagram.
                 2.  Complete  the purple region for the
                     multiplication  of  positive  integers  that   × –5 –4 –3 –2 –1 0   1  2  3  4  5
                     you have learnt.                              –5                 0
                                                                   –4                 0
                 3.  Complete the other regions in the table       –3                 0
                     according to the patterns of the numbers      –2                 0          –8
                     shown.                                        –1                 0          –4 –5
                 4.  Present your findings about the patterns       0  0  0  0  0  0  0  0  0  0  0  0
                     of multiplication of integers shown.           1             –1 0   1  2  3  4  5
                                                                    2          –4 –2 0   2  4  6  8 10
                 5.  Discuss  with your friends about the           3                 0             15
                     patterns of division of integers.              4                 0
                 6.  Make  a  generalisation  regarding  the        5                 0
                     multiplication and division of integers.


                 From the results of Exploration Activity 4, it is found that


                               Sign of the                     Sign of the
                  Operation                       Operation
                                product                         quotient
                   (+) × (+)       +               (+) ÷ (+)        +            Other than addition and
                   (+) × (–)       –               (+) ÷ (–)        –            subtraction of integers,
                                                                                 coloured chips can also
                   (–) × (+)       –               (–) ÷ (+)        –
                                                                                 be used to perform
                   (–) × (–)       +               (–) ÷ (–)        +            multiplication and

                                                                                 division of integers.
                      In general,  the  rules  of multiplication  and  division of   Visit the site below for
                 integers can be summarized as follows.                          further information.
                                                                                   www.goo.gl/7j6CTd
                      The product or quotient of two integers with the same
                 signs is a positive integer.
                      The product  or quotient  of two integers  with  different
                 signs is a negative integer.


                                                                                                        9
                                                                                 Rational Numbers



       01 TB Math F1.indd   9                                                                         10/20/16   11:55 AM
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