Algebra Demystified 2nd Ed

Chapter 3 DeCiMalS 73

PRACTICE

Rewrite as a division problem without decimal points.

1. 
   

   68 .. (^51) ) 511

   
   


2. 
   

   09 ..)8 413

   
   


3. 
   

   (^48) ) 8.

   
   


4. 
   

   19 76 60..) 4

   
   


5. 
   

   3 413)7.

   
   

SOLUTIONS

1. (^6851) ) 511 15 11
   685
   15 11 100
   685100
   1511
   685
   = ⋅
   ⋅
   = becomes 685 1511)


2. (^09) )8 413 8 413
   09
   8 413 1000
   091000
   8413
   900
   = ⋅
   ⋅
   = becomes 900 8413)


3. (^48) ) 8 88
   4
   8810
   410
   88
   40

. ..= ⋅
⋅

= becomes 40 88)

Reduce to get a simpler division problem.

88

40

11

5

= becomes^51 )^1.

4. 19 76 60) 4 604
   19 76

604100

19 76 100

6040

197

= ⋅

⋅

=

66

Reduce to get a simpler division problem:^6040
1976

755

= 247

, which becomes

247 755).

5. 3 413)^77
   3 413

71000

3 413 1000

7000

3413

= ⋅

⋅

= becomes 3413 7000).

Summary

In this chapter, we learned how to:

•   Write a terminating decimal number as a fraction. The numerator of the

fraction is the number, with the decimal point removed, and the denomi-

nator is a power of 10. Determine the power of 10 by counting the num-

ber of digits behind the decimal point.

PRACTICE

Rewrite as a division problem without decimal points.

✔SOLUTIONS