Page 86 - Basic College Mathematics with Early Integers
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S E C T ION  1. 7 I DIVIDING WHOLE NUMBERS                     63


             Example 4      Divide:  3705 , 5.  Check by multiplying.                   PRACTICE 4
                                                                                        Divide. Check by multiplying.
             Solution:                                                                  a. 4908 , 6
                    7      37÷5=7 with 2 left. Place this estimate, 7, over the 7 in 37.  b. 2212 , 4
                 53705                                                                 c. 753 , 3
                 –35       7(5)=35
                    20     37-35=2, and 2 is less than the divisor 5.
                           Bring down the 0.
                    74     20÷5=4
                 53705
                 –35
                    20
                  – 20     4(5)=20
                     05    20-20=0, and 0 is less than the divisor 5.
                          Bring down the 5.
                    741   5 , 5 = 1
                 53705
                 – 35
                    20
                  – 20

                      5
                    – 5   1(5) = 5
                      0   5 - 5 = 0
             Check:
                  741                                                                               Since   division
                *   5                                                                    and multiplication are reverse
                                                                                         operations, don’t forget that
                 3705
                                                                                         a division problem can be
                                                                                         checked by multiplying.
              Work Practice 4


             Example 5      Divide and check:  1872 , 9                                 PRACTICE 5
                                                                                        Divide and check by
             Solution:                                                                  multiplying.

                    208                                                                 a. 72128
                 91872
                                                                                        b. 945,900
                 – 18      2(9) = 18
                    07     18 - 18 = 0;  bring down the 7.
                   – 0     0(9) = 0
                     72    7 - 0 = 7;  bring down the 2.
                   – 72    8(9) = 72
                      0    72 - 72 = 0
                         #
             Check:  208 9 = 1872
              Work Practice 5



                                                                                        Answers
                                                                                        4. a. 818  b. 553  c. 251
                                                                                        5. a. 304  b. 5100
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