Page 35 - Math Course 1 (Book 1)
P. 35

Dividing Integers

               Mo. 1

               Lesson 6



                MO. 1 - L6a

                         Dividing Integer                          KEY CONCEPTS:
                                                                   1. Dividing Integers.
                   The same and Different Sign                     2. Finding the  Average of a Set of Data.


                Key Concept



                 Dividing Integers with the                        Dividing Integers with
                 Same Sign                                         Different Sign
                 Words: The quotient of two integers with the      Words: The quotient of two integers with
                        same sign is positive.                            different sign is negative.

                 Examples:  -12 ÷  (-3) = 4                        Examples:  -12 ÷  (4) = -3


                            12 ÷ 3 = 4                                        12 ÷ (-4) = -3





                 Concept Summary                                   Operation with Integers


                                 Words                                                Examples

                 Adding Two Integers
                 To add integers with the same sign, add their absolute   -5 + ( -4 ) = -9    5 + 4 = 9
                 value. Give the result the same sign as the integers.


                 To add integers with different signs, subtract their    -5 + 4  = -1         5 + (-4) = 1
                 absolute values. Give the result the same sign as the
                 integer with the greater absolute value.

                 Subtracting Two Integers                                5 - 9   =      5 + (-9) or -4
                 To subtract an integer, add its additive inverse.
                                                                         5- (-9)  =     5 + 9 or 14

                 Multiplying Two Integers
                                                                                         .
                                                                          .
                 The product of two integers with the same sign is       5   4 = 20    -5    (-4) = 20
                 positive.
                                                                           .
                                                                                         .
                 The product of two integers with different sign is      -5    4 = -20   5    (-4) = -20
                 negative.

                 Dividing Two Integers
                                                                           ÷
                                                                                           ÷
                 The quotient of two integers with the same signs is     20   5 = 4    -20   (5) = 4
                 positive.
                 The quotient of two integers with different signs is    -20   5 = -4   20   (-5) = -4
                                                                                          ÷
                                                                            ÷
                 negative.


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