TABLE  OF  NOTATION.
Whole  Numbers.  Decimal  Parts.
o
a

F

20.  It  appears  from  the  table,  that  as  whole  numbers  in-
crease in  a  tea-fold  proportion  towards  the  left  hand,  so  de-
cimals decrease  in  a  ten-fold  proportion  towards  the  right
hand.
21.  The  place  of  tenths,  or  the  first  from  the  decimal
point,  is  of  the  greatest  value  ;  therefore  that  decimal  is  of
the  greatest  value  whose  highest  place  is  greatest,  without
uny  regard  to  the  number  of  figures  ;    so  ,4  is  greater  in
value  than  ,34788.     This  will  appear  evident  by  reducing
them  both  to  a  common  denominator ;  thus,  400000  is  great-
er than  34788.
NOTE.  Decimal  Fractions,  being  the  same  in  their  nature  and
od  of  operation  as  whole  numbers,  may  be  performed  >vith  the
facility.
ADDITION  OF  DECIMALS.
CASE  I.
To  add  finite  'decimals.
RULE.     Place  the  numbers  under  each  other   according
to  the  value  of  their  places  ;  add  them  as  in  whole  mi  in-


DECIMAL  FRACTIONS.  Q^

berg,    set    the   decimal  point    as   many   places   from   the
right  hand  as  are  equal  to  tS'e  greatest  number  of  decimal
places  in  any  one  of  the  given  decimals.
PROOF.     As  in  \vhob  numbers.
EXAMPLES.
1.  2.  3.
83,845  38,45  1.074

,80435  8,078  43'.8074

3,0085  43.34  ,8U

487,08  1,04  ,1007iU

,3874  38,7454  9,000

,0007  18,003  1,3471

575,20595  Sums      147,6564  53,944-584

In  example  first,  five  being  the  greatest  number  of  given
decimals,  therefore  the  decimal  point  is  set  five  places
from  the  right  hand.
C4ASE    II.
To  add  repeating  decimals,  when  there  is  a  single  repetend.
