Page 31 - Math Course 1 (Book 1)
P. 31

Multiplying Integers

               Mo. 1

               Lesson 5



                 KEY CONCEPTS:
                 1. Multiply Integers with the Same and                   Let’s Begin
 Example A:    9 - 17          Example B:   -7 - 3      Different Sign.
 9 - 17 = 9 + (-17)  -7 - 3 = -7 + (-3)   2. Simplify Algebraic Expressions.
            = -8            = -10
                                                                          Multiply Integers with
                                                                               Different Signs
                MO. 1 - L5a

                   Multiply Integers with the                     Examples

                    Same and Different Sign


                 Key Concept                                       Find 8(–9)


                                                                   8(–9) = –72   The factors have different signs.
                 Multiplying Integers with                                      The product is negative.
                 Different Signs
                                                                      Answer       -72
                 Words: The product of two integers with
                               different signs is negative.
                                                                   Find -9(11)
                             4 (-3) = -12
                 Examples:                                         -9(11) = –99  The factors have different signs.
                                                                                The product is negative.
                             -3 (4) = -12
                                                                      Answer       -99


                 Multiplying Integers with
                 the Same Signs
                                                                        Multiply Integers with the
                 Words: The product of two integers with
                               the same signs is positive.                       Same Signs


                 Examples: 4 (3) = 12                             Examples


                             3 (4) = 12                            Find –4(–16)

                                                                   -4(–16) = 64  The factors have same signs.
                                                                                The product is positive.

                                                                      Answer       64



                                                                   Find –9(–3)(–2)
                                                                   –9(–3)(–2) = [(–9)(–3)] (–2)  Associative Property

                                                                              = (27)(–2)      (–9)(–3) = 27

                                                                              = –54           (27)(–2) = –54

                                                                      Answer       -54




                                                                                                                  23
   26   27   28   29   30   31   32   33   34   35   36