Page 51 - Basic College Mathematics with Early Integers
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Objectives                  1.4       SUBTRACTING WHOLE NUMBERS

           Subtract Whole Numbers.

           Solve Problems by Subtracting  Objective   Subtracting Whole Numbers
           Whole Numbers.
                                       If you have $5 and someone gives you $3, you have a total of $8, since 5 + 3 = 8.
                                       Similarly, if you have $8 and then someone borrows $3, you have $5 left. Subtraction
                                       is finding the difference of two numbers.


                                                                           8








                                                              3                    5



                                                             8     -      3      =       5

                                                            æ             æ              æ
                                                         minuend      subtrahend    difference


                                       In this example, 8 is the minuend, and 3 is the subtrahend. The difference between
                                       these two numbers, 8 and 3, is 5.
                                           Notice that addition and subtraction are very closely related. In fact, subtrac-
                                       tion is defined in terms of addition.
                                           8 - 3 = 5 because 5 + 3 = 8

                                       This means that subtraction can be checked by addition, and we say that addition
                                       and subtraction are reverse operations.

        PRACTICE 1
                                         Example 1     Subtract. Check each answer by adding.
        Subtract. Check each answer by
        adding.                         a. 12 - 9      b. 22 - 7      c. 35 - 35     d. 70 - 0
        a. 14 - 6
                                        Solution:
        b. 20 - 8
        c. 93 - 93                      a. 12 - 9 = 3  because 3 + 9 = 12
        d. 42 - 0                       b. 22 - 7 = 15  because 15 + 7 = 22
                                        c. 35 - 35 = 0  because 0 + 35 = 35
                                        d. 70 - 0 = 70  because 70 + 0 = 70

                                          Work Practice 1

                                       Look again at Examples 1(c) and 1(d).
                                                1(c)   35-35=0          1(d)   70-0=70


                                                      same     difference    a number   difference is the           Copyright 2012 Pearson Education, Inc.
                                                     number       is 0       minus 0     same number
        Answer
        1. a. 8  b. 12  c. 0  d. 42        These two examples illustrate the subtraction properties of 0.
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