Page 99 - Basic College Mathematics with Early Integers
P. 99

76                             C HAPTE R 1 I THE WHOLE NUMBERS

                                        2. TRANSLATE.

                                            In words:  Snake River  is  732  miles   longer than  the Hudson River

                                                           T        T      T          T               T
                                           Translate: Snake River   =     732         +              306
                                        3. SOLVE: Let’s see if our answer is reasonable by also estimating. We will
                                           estimate each addend to the nearest hundred.

                                             732 rounds to       700
                                            +306 rounds to        300
                                            1038 exact          1000 estimate

                                        4. INTERPRET. Check your work. The answer is reasonable since 1038 is close
                                           to our estimated answer of 1000. State your conclusion: The Snake River is
                                           1038 miles long.

                                          Work Practice 1


        PRACTICE 2                       Example 2 Filling a Shipping Order
        Four friends bought a lottery   How many cases can be filled with 9900 cans of jalapeños if each case holds
        ticket and won $65,000. If each  48 cans? How many cans will be left over? Will there be enough cases to fill an or-
        person is to receive the same   der for 200 cases?
        amount of money, how much
        does each person receive?       Solution:
                                        1. UNDERSTAND. Read and reread the problem. Draw a picture to help visual-
                                           ize the situation.



                                                              48 cans     48 cans    48 cans





                                                                   9900 cans







                                           Since each case holds 48 cans, we want to know how many 48s there are in
                                           9900.We find this by dividing.
                                        2. TRANSLATE.

                                            In words:  Number of  cases  is  9900  divided by  48
                                                              T         T    T         T       T
                                           Translate:  Number of cases  =   9900       ,       48
                                        3. SOLVE: Let’s estimate a reasonable solution before we actually divide. Since
                                           9900 rounded to the nearest thousand is 10,000 and 48 rounded to the nearest
                                           ten is 50, 10,000 , 50 = 200.  Now find the exact quotient.
                                                206 R 12
                                            489900
                                             -96                                                                    Copyright 2012 Pearson Education, Inc.

                                                300
        Answer                                -288
        2. $16,250                               12
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