JB/135/080/003

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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.

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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

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which would arise out of the two next figureas to the right hand of that figure in the multiplican which you then begin with carrying from 5 to 15 two from 15 to 25 three from 25 to 35 four from 35 to 45 &c and the Sum of these lines will give the product — In any of the following cases in division if the dividend be greater than the divisor the quotient will be either a whole or a mixt number but when the dividend is less than the divisor the quotient must necessarily be a fraction for a less number is contained in a greater once at the least but the greater is not contained once in the less. When the divisor & and dividend are both finite decimals Divide as in whole numbers and from the right hand of the quotientn points off for decimals so many places as the decimal places in the dividend exceed those in the divisor and those to the left if any are integers but if the places of the quotient are not so many as this rule requires supply the defect by prefixing cyphers to the quotient but if the decimal places in the divisor be more than those in the divident annex

Identifier: | JB/135/080/003"JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	080	Info in main headings field	decimal fractions
Image	003	Titles
Category	private material	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	1798
Marginals		Paper Producer
Corrections		Paper Produced in Year	1798
Notes public		ID Number	46198
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