Algebra Demystified 2nd Ed

72 algebra De mystif ieD

3. 2 123
   56

2 123 1000

561000

2123

5600

= ⋅

⋅

=

4.^8
24

810

2410

80

24

10

.. 3

= ⋅

⋅

==

5.^625
5

625100

5100

625

500

5

4

..= ⋅

⋅

==

6.^013
12

013100

12100

13

120

= ⋅

⋅

=

7. 0 423
   06

0 423 1000

061000

423

600

141

200

= ⋅

⋅

==

Division with Decimals

We can use the method in the previous section to rewrite decimal division

problems as whole-number division problems. We rewrite the division problem

as a fraction, clear the decimal, and then rewrite the fraction as a division prob-

lem without decimal points.

EXAMPLES

Rewrite as a division problems without decimal points.

12 60..) 3

12 60..) 3 is another way of writing^6012 ..^3.

603

12

603100

12100

603

120

.

.

.

.

= ⋅

⋅

= and^603

120

becomes 120 603).

05 .. (^13) ) 7
05 .. (^13) ) 7 becomes 0537 .. 1 = 0537 .. 1 ⋅⋅^100100 =^37051 which becomes 51 370).
(^81) ) 28.
(^81) ) 28. becomes^128 ..^8 =^128181 ⋅⋅ 00 =^12880 which becomes 80 128). We could
reduce the fraction and get an even simpler division problem.
128
80
8
5
= which becomes (^58) ).
EXAMPLES
Rewrite as a division problems without decimal points.