Page 120 - Basic College Mathematics with Early Integers
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CHAPTER HIGHLIGHTS                           97


                       Definitions and Concepts                                      Examples


                                        Section 1.6  Multiplying Whole Numbers and Area

            To multiply 73 and 58, for example, multiply 73 and 8, then  73  ;   factor
             73 and 50.The sum of these partial products is the     * 58  ;   factor
             product of 73 and 58. Use the notation to the right.
                                                                     584  ;   73 * 8
                                                                    3650  ;   73 * 50
                                                                    4234  ;   product

            To find the area of a rectangle, multiply length times width.  Find the area of the rectangle shown.
                                                                                   11 meters


                                                                                              7 meters


                                                                                      #
                                                                    area of rectangle = length width
                                                                                = (11 meters)(7 meters)
                                                                                = 77 square meters

                                              Section 1.7  Dividing Whole Numbers

            DIVISION PROPERTIES OF 0                             0
                                                                   = 0
                                                                 5
            The quotient of 0 and any number (except 0) is 0.
                                                                 7
            The quotient of any number and 0 is not a number.    0  is undefined
             We say that this quotient is undefined.
                                                                             507 R 2    quotient and remainder
            To divide larger whole numbers, use the process called
             long division as shown to the right.                 divisor  147100      dividend
                                                                           – 70         5(14)=70
                                                                             10         Subtract and bring down the 0.
                                                                             – 0        0(14)=0
                                                                             100        Subtract and bring down the 0.
                                                                             – 98       7(14)=98
                                                                                2       Subtract. The remainder is 2.

                                                                                    #
                                                                 To check, see that 507 14 + 2 = 7100.
                                                                 Find the average of 23, 35, and 38.
            The average of a list of numbers is                              23 + 35 + 38    96
                                                                    average =             =     = 32
                                                                                   3         3
                           sum of numbers
                average =
                          number of numbers
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