Page 10 - Math Course 1 (Book 2)
P. 10

Properties of Identity and Equality

           Mo. 7

           Lesson 1
                                                                         Let’s Begin




          KEY CONCEPTS:
          1. Recognize the properties of identity          Identify Properties
              and equality.
          2. Use the properties of identity and equality.
                                                             Examples



                                                            Name the property used in n • 12 = 0. Then f nd the
         MO. 7 - L1a                                        value of n.

          Recognize The Properties Of                                          n = 0, since 0 • 12 = 0.
                Identity And Equality                          Answer         This is the Multiplicative
                                                                                 Property of Zero.

                     Vocabulary A-Z
                                                                                       1
                     Let us learn some vocabulary           Name the property used in n •      = 1. Then f nd the
                                                            value of n.                5

                                                                                        1
                                                                          since n = 5,  5 •      = 1. This is the
         additive identity                                     Answer                   5
                                                                           Multiplicative Inverse Property.
         the sum of any number and 0 is equal to the
         number. Thus, 0 is called the additive identity.

               5 + 0 = 5          1 + 2 + 0 = 3
                                                            Your Turn!

         multiplicative identity
                                                           Identify Properties
         the product of any number and 1 is equal to the
         number, 1 is called the multiplicative identity.                              1
                                                            Name the property used in n •      = 1.    Then f nd
                                                                                       3
                                                            the value of n.
               7 x 1 = 7          10 x 1 = 10
                                                            A. Multiplicative Inverse Property; n = 3
                                                            B. Multiplicative Property of zero; n = 0
         multiplicative inverses
                                                            C. Multiplicative Inverse Property; n =   1
         two numbers whose product is 1 are called                                       1    3
         multiplicative inverses.                           D. Additive Inverse Property; n =
                                                                                         3

                  1  x 2 = 1        1   x 5 = 1               Answer

                  2                 5                       Name the property used in n + 0 = 11. Then f nd

                                                            the value of n.
         reciprocal                                         A.  Additive Identity Property; n = 0
         two numbers whose product is 1 are called reciprocal.  B.  Multiplicative Identity Property; n = 11
                                                            C.  Additive Identity Property; n = 11
                                                            D.  Multiplicative Identity Property; n = 0
           1              Zero has no reciprocal because

           2  x 2 = 1     any number times 0 is 0.            Answer


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