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is 2 or 5 and <lb/>their multiples.-</p><pb/> | is 2 or 5 and <lb/>their multiples.-</p><pb/> | ||
<p>Against each part on <lb/> | |||
the left hand write the <lb/> | |||
number thereof contained <lb/> | |||
in one of its superior <lb/> | |||
let these be the divisors.</p> | |||
<p>The beg<del>in</del>inning <lb/> | |||
with the upper one write<lb/> | |||
the quotient of each division <lb/> | |||
as decimal parts on the <lb/> | |||
right hand of the dividend <lb/> | |||
next below it, and let <lb/> | |||
this mixed number be <lb/> | |||
divided by its divisor &c <lb/> | |||
till all be finished and <lb/> | |||
the last quotient will be <lb/> | |||
the decimal sought. —</p> | |||
<p>The decimal may <lb/> | |||
be readily found by the <lb/> | |||
rule of practice namely <lb/> | |||
by considering the next <lb/> | |||
inferior denomination as <lb/> | |||
aliquot parts of the integer <lb/> | |||
and those still lower as <lb/> | |||
aliquot parts of the superior <lb/> | |||
ones or of each other <lb/> | |||
the Sum of all those <lb/> | |||
aliquot parts will be the <lb/> | |||
decimal required. —</p> | |||
<p><!-- Red ink -->To reduce any decimal <lb/> | |||
into the equivalent <lb/> | |||
known parts of Coin Weight <lb/> | |||
or Measure -</p> | |||
Multiply the given <lb/> | |||
number by the number <lb/> | |||
of Units contained in the <lb/> | |||
next inferior denomination <lb/> | |||
cutting off as many figures <lb/> | |||
from the product as the <lb/> | |||
given decimal consists of <lb/> | |||
then multiply the remaining <lb/> | |||
parts if any by the <lb/> | |||
next lower denomination <lb/> | |||
cutting off as before and <lb/> | |||
thus proceed till you have <lb/> | |||
converted your decimals <lb/> | |||
or come to the lowest part <add>and</add><lb/><pb/> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} |
Decimal Fractions
To reduce a Vulgar
Fraction into a decimal
Annex Cyphers to the
numerator till it be
equal to or greater than
the denominator then
divide by the denominator
and the the quotient will
be the decimal sought.
If after you have
made use of all the
Cyphers annexed to the
numerator there is a
remainder annex Cyphers
thereto and continue your
division till it divide off
or arrive to what degree
of exactness you think
proper.-
Always observe to
set a point betwixt the
numerator and the Cyphers
annexed thereto and that
the quotient have as
many places as you annex
Cyphers to the numerator
and remainders; and if
it be deficient let the
want be supplied by prefixing
as many Cyphers
to the quotient as it falls
short.-
Those decimals
that are reduced from
such a Vulgar Fraction
whose numerator with
Cyphers annexed is an
aliquot part of or can
be measured by its denominator
are finite or
determinate decimals.-
as No fraction will
produce a finite decimal
but such whose denominator
is 2 or 5 and
their multiples.-
---page break---
Against each part on
the left hand write the
number thereof contained
in one of its superior
let these be the divisors.
The begininning
with the upper one write
the quotient of each division
as decimal parts on the
right hand of the dividend
next below it, and let
this mixed number be
divided by its divisor &c
till all be finished and
the last quotient will be
the decimal sought. —
The decimal may
be readily found by the
rule of practice namely
by considering the next
inferior denomination as
aliquot parts of the integer
and those still lower as
aliquot parts of the superior
ones or of each other
the Sum of all those
aliquot parts will be the
decimal required. —
To reduce any decimal
into the equivalent
known parts of Coin Weight
or Measure -
Multiply the given
number by the number
of Units contained in the
next inferior denomination
cutting off as many figures
from the product as the
given decimal consists of
then multiply the remaining
parts if any by the
next lower denomination
cutting off as before and
thus proceed till you have
converted your decimals
or come to the lowest part and
---page break---
Identifier: | JB/135/080/002"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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002 |
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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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