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the other two numbers.</p><pb/>  | the other two numbers.</p><pb/>  | ||
When both factors are finite decimals whether they are single or joined with   | <p><!-- Red ink -->When both factors are <lb/>  | ||
finite decimals whether <lb/>  | |||
they are single or joined <lb/>  | |||
with integers,</p>     | |||
<p>Multiply them as <lb/>  | |||
if they were all whole numbers <lb/>  | |||
and from the product <lb/>  | |||
towards the right hand cut <lb/>  | |||
off so many places for <lb/>  | |||
decimal parts in the <lb/>  | |||
product as there were <lb/>  | |||
in both the multiplier & <lb/>  | |||
multiplicand counted together<lb/>  | |||
but if it so happen <lb/>  | |||
that there are not so many <lb/>  | |||
places in the product <lb/>  | |||
supply the defect by prefixing <lb/>  | |||
cyphers —</p>   | |||
<p><!-- Red ink -->Two decimal fractions <lb/>  | |||
being given to reserve in <lb/>  | |||
their product any assigned<lb/>  | |||
number of places —</p>   | |||
Sets the Units place <lb/>  | |||
<p>of the multiplier directly <lb/>  | |||
under that figure of the <lb/>  | |||
decimal part of the multiplicand <lb/>  | |||
whose place <lb/>  | |||
you would reserve in the <lb/>  | |||
product and  insert the <lb/>  | |||
order of all its other places <lb/>  | |||
that is <del>the</del> write the decimals <lb/>  | |||
on the left hand <lb/>  | |||
and the integers if any <lb/>  | |||
on the right —</p>   | |||
Then in multiplying <lb/>  | |||
always begin at that <lb/>  | |||
figure of the multiplicand <lb/>  | |||
which stands over the <lb/>  | |||
figure wherewith you are <lb/>  | |||
then  multiplying setting <lb/>  | |||
down the first figure of <lb/>  | |||
each particular product <lb/>  | |||
directly underneath one <lb/>  | |||
another due regard being <lb/>  | |||
had to the increase <add>which</add><lb/><pb/>  | |||
To add decimals wherein 
are single reptends—
Make every line end at 
the same place filling up 
the vacancies by the repeating 
digits and annexing 
a cypher or cyphers 
to the finite terms then 
add as before only increase 
the sum of the right hand 
row with as many units 
as it contains nines & 
the figure in the Sum 
under that place will be 
a repetend —
To subtract finite decimals.
Having first set down the 
greater the two numbers 
given whether it be a whole 
number mixed number or 
decimal set down the less 
under it according to the 
directions given in addition 
then subtract as in whole 
numbers imagining all 
the vacant places filled 
with cyphers —
To subtract decimals that 
have repetends —
Make the repetends similar 
and conterminous & 
subtract as in the last 
case observing only if the 
repetend of the number to 
be subtracted be greater 
than the repetend of the 
number it is to be taken 
from then the right hand 
figure of the remainder 
must  be less by unity 
than it would be if the 
expressions were finite & 
the repetend in the remainder 
will consist of as many 
places as there are in 
the other two numbers.
---page break---
When both factors are 
finite decimals whether 
they are single or joined 
with integers,
Multiply them as 
if they were all whole numbers 
and from the product 
towards the right hand cut 
off so many places for 
decimal parts in the 
product as there were 
in both the multiplier & 
multiplicand counted together
but if it so happen 
that there are not so many 
places in the product 
supply the defect by prefixing 
cyphers —
Two decimal fractions 
being given to reserve in 
their product any assigned
number of places —
Sets the Units place 
of the multiplier directly 
under that figure of the 
decimal part of the multiplicand 
whose place 
you would reserve in the 
product and  insert the 
order of all its other places 
that is the write the decimals 
on the left hand 
and the integers if any 
on the right —
Then in multiplying 
always begin at that 
figure of the multiplicand 
which stands over the 
figure wherewith you are 
then  multiplying setting 
down the first figure of 
each particular product 
directly underneath one 
another due regard being 
had to the increase which
---page break---
| 
 Identifier: | JB/135/080/003"JB/" can not be assigned to a declared number type with value 135.  | 
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|---|---|---|---|
| 
 135  | 
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| 
 080  | 
 decimal fractions  | 
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| 
 003  | 
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| 
 private material  | 
 2  | 
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| 
 recto  | 
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| 
 sir samuel bentham  | 
 1798  | 
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| 
 1798  | 
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| 
 46198  | 
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