The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods : Forming a Complete Course of Higher Arithmetic |
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Σελίδα 4
to the value of rules in an arithmetical treatise . It is not an ... It will be observed ,
that , while the author has expressed in rules his modes of operating , he has in
every case first given the analysis upon which each rule is based . The author ...
to the value of rules in an arithmetical treatise . It is not an ... It will be observed ,
that , while the author has expressed in rules his modes of operating , he has in
every case first given the analysis upon which each rule is based . The author ...
Σελίδα 14
14 . A sign is a symbol employed to indicate the relations of quantities , or
operations to be performed upon them . 15 . A rule is a direction for performing an
operation . 16 . An example is a particular application of a general principle or
rule .
14 . A sign is a symbol employed to indicate the relations of quantities , or
operations to be performed upon them . 15 . A rule is a direction for performing an
operation . 16 . An example is a particular application of a general principle or
rule .
Σελίδα 25
RULE . — Write the numbers so that all the figures of the same order shall stand
in the same column . Add , upward , all the figures in the column of units , and , if
the amount be less than ten , write it underneath . But if the amount be ten or ...
RULE . — Write the numbers so that all the figures of the same order shall stand
in the same column . Add , upward , all the figures in the column of units , and , if
the amount be less than ten , write it underneath . But if the amount be ten or ...
Σελίδα 31
RULE . — Place the less number under the greater , so that units of the same
order shall stand in the same column . Commencing at the right hand , subtract
each figure of the subtrahend from the figure above it . If any figure of the
subtrahend ...
RULE . — Place the less number under the greater , so that units of the same
order shall stand in the same column . Commencing at the right hand , subtract
each figure of the subtrahend from the figure above it . If any figure of the
subtrahend ...
Σελίδα 46
Hence the general RULE . — Beginning at the left , find how many times the
divisor is contained in the fewest figures of the dividend that will contain it , for the
first quotient figure . 57 68 Multiply the divisor by this quotient figure , and subtract
...
Hence the general RULE . — Beginning at the left , find how many times the
divisor is contained in the fewest figures of the dividend that will contain it , for the
first quotient figure . 57 68 Multiply the divisor by this quotient figure , and subtract
...
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acres added amount answer Arithmetic balance barrels base bill bought bushels called cent Change ciphers column common compound containing cords cost cube cubic decimal denominator denoting diameter difference discount Divide dividend division divisor dollars equal EXAMPLES exchange expressed factors feet figures four fourth fraction gain gallons give given grains Hence hundred inches interest least common length less loss mean measure method miles mixed months multiplicand Multiply NOTE obtain OPERATION paid payment period pounds premium present prime principal proportion purchased quantity quotient rate per cent ratio received Reduce remainder result root RULE scale share shillings side simple sold square subtract TABLE taken tens third thousand tons true units weight whole number worth write written yards