Page 262 - Basic College Mathematics with Early Integers
P. 262

Vocabulary and Readiness Check


            Use the choices below to fill in each blank.

                addition       multiplication   evaluate the exponential expression
                subtraction    division         complex
             1. A fraction whose numerator or denominator or both numerator and denominator contain fractions is called a(n)
                                                 fraction.
                            1   2 7
             2. To simplify -  +  #  , which operation do we perform first?
                            2   3 8
                            1   2 7
             3. To simplify -  ,  #  , which operation do we perform first?
                            2   3 8
                          7   1   2
             4. To simplify   #  a  -  b , which operation do we perform first?
                          8   2   3
                          1   1   9    3  3
             5. To simplify   ,  #  a  +  b  , which operation do we perform first?
                          3   4   11   8
                                 3  2
             6. To simplify 9 - a- b  , which operation do we perform first?
                                 4




             3.6     Exercise Set           FOR EXTRA HELP




            Objective  Simplify each complex fraction. See Examples 1 through 4.

                1                     5                   2                     9                    2
                8                    12                   3                    25                    27
             1.                   2.                    3.                   4.                   5.
                3                    15                   2                     6                    4
                4                    12                   7                    25                    9


                3                    3   2                7   2                  3                   3
                                       +                    +                                           + 2
                11                   4   5                6   3                  4                   10
             6.                   7.                    8.                   9.                  10.
                1                    1   3                3   8                    1                   2
                                       +                    -                  5 -
                2                    2   5                2   9                    8                   5


            Objective  Use the order of operations to simplify each expression. See Examples 5 and 6.

                1   1 1                            1   1 1                            5    1 1
            11.   +  #                         12.   +   #                         13.  ,   #
                5   3 4                            2   6 3                            6    3 4


                7   1 1                                  1  2                                1  2
            14.   ,  #                         15. 2 - a b                         16. 3 - a b
                                                    2
                                                                                       2
                8   4 7                                  3                                   2
                 2   4   1    9                     1    1    1   1                     7   1     3
            17. a  +   ba  -    b              18. a  -    ba   +   b              19. a  -  b ,
                 9   9   3   10                     5    10   5   10                    8   2     11




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