Page 83 - Basic College Mathematics with Early Integers
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Objectives                  1.7       DIVIDING WHOLE NUMBERS

            Divide Whole Numbers.

            Perform Long Division.     Suppose three people pooled their money and bought a raffle ticket at a local
                                       fund-raiser. Their ticket was the winner and they won a $75 cash prize. They then
            Solve Problems That Require   divided the prize into three equal parts so that each person received $25.
            Dividing by Whole Numbers.
                                                                      Divided into
            Find the Average of a List
                                                                      3 equal parts  25 dollars
            of Numbers.
                                                              75 dollars
                                                                                  25 dollars
                                                                                  25 dollars

                                                                                 3 groups of
                                                                                  25 dollars


                                       Objective      Dividing Whole Numbers

                                       The process of separating a quantity into equal parts is called division. The division
                                       above can be symbolized by several notations.



                                                    quotient                          dividend
                                                          25
                                                                                  75
                                                        375   dividend             =25      quotient
                                                                                  3
                                                      divisor
                                                                                divisor

                                                               quotient            dividend  quotient

                                                        75÷3=25                      75/3=25


                                                     dividend divisor                 divisor

                                                      75
                                       (In the notation   ,  the bar separating 75 and 3 is called a fraction bar.) Just as
                                                       3
                                       subtraction is the reverse of addition, division is the reverse of multiplication. This
                                       means that division can be checked by multiplication.

                                             25

                                                             #
                                           375  because  25 3 = 75  s
                                                                ∂       ∂
                                                       ∂
                                                    Quotient     Divisor   =   Dividend
                                                             #
                                                                                                                    Copyright 2012 Pearson Education, Inc.
                                       Since multiplication and division are related in this way, you can use your knowl-
                                       edge of multiplication facts (or study Appendix A.2) to review quotients of one-digit
                                       divisors if necessary.







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