Basic Mathematics for College Students

5. Move the decimal point in the divisor and the
   dividend the same number of places so that the
   divisor becomes a whole number.You do not
   have to find the quotient.
   a.
   b.


6. Fill in the blanks: To divide with a decimal divisor,
   write the problem in division form. Move the
   decimal point of the divisor so that it becomes a
   number. Then move the decimal point of the
   dividend the same number of places to the.
   Write the decimal point in the quotient directly
   the decimal point in the dividend and divide
   as working with whole.


7. To perform the division , the decimal points
   in the divisor and dividend are moved 1 place to the
   right. This is equivalent to multiplying by what
   form of 1?


8. Use multiplication to check the following division. Is
   the result correct?


9. When rounding a decimal to the hundredths column,
   to what other column must we look at first?


10. a. When 9.545 is divided by 10, is the answer smaller
    or larger than 9.545?
    b. When 9.545 is divided by 0.1, is the answer smaller
    or larger than 9.545?


11. Fill in the blanks.

a. To find the quotient of a decimal and 10, 100,

1,000, and so on, move the decimal point to the

the same number of places as there are zeros

in the power of 10.

b. To find the quotient of a decimal and 0.1, 0.01,

0.001, and so on, move the decimal point to the

the same number of decimal places as there

are in the power of 10.

12. Determine whether the signof each result is positive
    or negative.You do not have to find the quotient.
    a.

b.

NOTATION

13. Explain what the red arrows are illustrating in the
    division problem below.

(^467) 3208.7

25.92

3.2

15.25(0.5)

1.917

0.9

2.13

14.562

7.8

7.814.562

3.7116.695

1.310.66

14. The division shown below is not finished. Why was
    the red 0 written after the 7 in the dividend?

GUIDED PRACTICE

Divide. Check the result.See Example 1.

15. 
    
    
    
    16. 
        
    
    
    
    


16. 
    
    
    
    18. Divide. Check the result.See Example 2.
    
    
    
    


17. 
    
    
    
    20. 
        
    
    
    
    


18. 
    
    
    
    22. Divide. Check the result.See Example 3.
    
    
    
    


19. 
    
    
    
    24. 
        
    
    
    
    


20. 
    
    
    
    26. Divide. Check the result.See Example 4.
    
    
    
    


21. 
    
    
    
    28. 
        
    
    
    
    


22. 
    
    
    
    30. Divide. Round the quotient to the nearest hundredth. Check the
        result.See Example 5.
    
    
    
    


23. 
    
    
    
    32. 
        
    
    
    
    


24. 
    
    
    
    34. 
        
    
    
    
    

Estimate each quotient.See Example 6.

35.

36.

37.

38.

39.

40.

41.

42.

Find each quotient.See Example 7.

43. 
    
    
    
    44. 
        
    
    
    
    


44. 
    
    
    
    46. 
        
    
    
    
    


45. 
    
    
    
    48. 
        
    
    
    
    


46. 
    
    
    
    50. 
        
    
    
    
    

67.4

0.001

545.2

0.001

1.250.1 8.620.01

27.07

10,000

30.09

10,000

451.78 100 991.02 100

9.219,460.76

6.115,819.74

5,556.52167.89

3,883.28448.12

348.845.7

383.767.8

284.25491.4

289.84272.1

13.07

0.6

17.09

0.7

16.43

0.9

11.83

0.6

0.290.1131 0.580.1566

0.2436

0.29

0.1932

0.42

5 22.8 6 28.5

13.4 4 38.3 5

37 320.05 32 125.12

98.21 23 190.96 28

3 27.6 4 28.8

12.6 6 40.8 8

2.3

(^2) 4.7 0
 4
07
 6
1
4.4 Dividing Decimals 369