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 37
Hence multiplication has sometimes been called a concise method of addition .
56 . The product must be of the same kind or denomination as the multiplicand ,
since the taking of a quantity any number of times does not alter its nature .
Hence multiplication has sometimes been called a concise method of addition .
56 . The product must be of the same kind or denomination as the multiplicand ,
since the taking of a quantity any number of times does not alter its nature .
Σελίδα 42
... by multiplying the cost of 7 110 60 dollars , cost of 35 acres . acres by the factor
5 , it is evident , we obtain the cost of 5 times 7 acres , or 35 acres . Hence , when
the multiplier is a composite number , we may Multiply the multiplicand by one ...
... by multiplying the cost of 7 110 60 dollars , cost of 35 acres . acres by the factor
5 , it is evident , we obtain the cost of 5 times 7 acres , or 35 acres . Hence , when
the multiplier is a composite number , we may Multiply the multiplicand by one ...
Σελίδα 43
Hence , when there are ciphers , one or more , on the right of the multiplier , or
multiplicand , or both , we may , for the required product , Multiply the significant
figures together , and to their product annex as many ciphers as there are on the
...
Hence , when there are ciphers , one or more , on the right of the multiplier , or
multiplicand , or both , we may , for the required product , Multiply the significant
figures together , and to their product annex as many ciphers as there are on the
...
Σελίδα 45
Hence , 1 pencil costs 6 cents , when 4 pencils cost 24 cents . 71 . The remainder
will always be of the same kind or denomination as the dividend , since it is a part
of the dividend . 72 . Division is the reverse of multiplication . The dividend ...
Hence , 1 pencil costs 6 cents , when 4 pencils cost 24 cents . 71 . The remainder
will always be of the same kind or denomination as the dividend , since it is a part
of the dividend . 72 . Division is the reverse of multiplication . The dividend ...
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