Page 21 - Math Course 1 (Book 1)
P. 21

Adding Integers

               Mo. 1

               Lesson 3                                            Adding Integers

                                                                   with different Signs

                 KEY CONCEPTS:                                    Words: To add integers with different signs,
                 1. Adding two integers with the same sign.       subtract their absolute values.
                 2. Adding two integers with different signs.     The sum is:
                 3. Adding more than two Integers.                •  Positive if the positive integer’s absolute

                                                                      value is greater.
                                                                  •  Negative if the negative integer’s absolute
                                                                      value is greater.
                MO. 1 - L3a

                 Adding two integers with                          Additive Inverse
                          the same sign.                           Property


                                                                  Words: The sum of any  number and its additive
                            Vocabulary A-Z                        inverse is zero.

                            Let us learn some vocabulary          Symbols: x + ( -x ) = 0


                                                                  Examples: 6 + ( -6 ) = 0
               Opposites

               Two numbers with the same absolute value but
               different signs are called opposites.
                                                                          Let’s Begin
                         -4 and 4 are OPPOSITES



               Additive inverse
                                                                 Add Integers on a Number Line
               An integer and its opposite are also called additive
               inverses.
                            -5  +   5  =  0                       Examples
                  Number                 Additive inverse
                          14  +  -14  =  0                        Find 3 + 4.



                                                                                 3         4
                Key Concept


                                                                             0     1    2    3    4    5    6    7    8
                Adding Integers
                with the Same Sign                                Start at zero.

                Words: To add integers with the same sign, add    Move three units to the right.
                their absolute value.
                The sum is:                                       From there, move four more units to the right.
                •  Positive if both integers are positive.
                •  Negative if both integers are negative.
                                                                     Answer    3 + 4 = 7
                Examples: -5 + ( -2 ) = -7       6 + 3 = 9






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