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 51
Using as divisors 2 , 3 , and 7 , the factors of 42 , we obtain for remainders , 1 , 2 ,
and 4 . ... and the second remainder by 2 , the divisor used in producing the
quotient of which it is a part ; and the products with the first remainder added
together ...
Using as divisors 2 , 3 , and 7 , the factors of 42 , we obtain for remainders , 1 , 2 ,
and 4 . ... and the second remainder by 2 , the divisor used in producing the
quotient of which it is a part ; and the products with the first remainder added
together ...
Σελίδα 52
When the divisor contains one or more ciphers at the right hand . Ex . 1. If 10 men
receive 792 dollars for a job of work , what will be each man's share of it ? Ans .
79 dollars . To multiply by 10 , we annex one 110 ) 7 912 cipher , which removes
...
When the divisor contains one or more ciphers at the right hand . Ex . 1. If 10 men
receive 792 dollars for a job of work , what will be each man's share of it ? Ans .
79 dollars . To multiply by 10 , we annex one 110 ) 7 912 cipher , which removes
...
Σελίδα 53
... APPLICATIONS . 80. In division , the value of the quotient depends upon the
relative values of the divisor and dividend . 81. If the dividend be multiplied , or
the divisor divided , by any number , the quotient is multiplied by the same
number .
... APPLICATIONS . 80. In division , the value of the quotient depends upon the
relative values of the divisor and dividend . 81. If the dividend be multiplied , or
the divisor divided , by any number , the quotient is multiplied by the same
number .
Σελίδα 54
divisor remain unchanged , the quotient will be only half as large as before , or 2 ;
as ( 32 • 2 ) = 8 2 ; and if the divisor be multiplied by 2 , and the dividend remain
unchanged , the quotient will be , likewise , only half as large , or 2 ; as 32 - ( 8 X
...
divisor remain unchanged , the quotient will be only half as large as before , or 2 ;
as ( 32 • 2 ) = 8 2 ; and if the divisor be multiplied by 2 , and the dividend remain
unchanged , the quotient will be , likewise , only half as large , or 2 ; as 32 - ( 8 X
...
Σελίδα 55
Divisor 7 X3 X4 2 2 The product of the 7 and 4 in the divisor equals the 28 in the
dividend ; we therefore cancel all these numbers . Finding 15 in the dividend to
be a factor of 30 in the divisor , we cancel both of the numbers , and use the ...
Divisor 7 X3 X4 2 2 The product of the 7 and 4 in the divisor equals the 28 in the
dividend ; we therefore cancel all these numbers . Finding 15 in the dividend to
be a factor of 30 in the divisor , we cancel both of the numbers , and use the ...
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acres added amount annexed answer balance barrel bill bought bushels called cent Change ciphers column common common divisor compound containing cords cost cube cubic decimal denominator denoting diameter difference discount Divide dividend divisible divisor dollars equal EXAMPLES expressed factors feet figure fourth fraction gain gallons give given grains greatest half Hence hundred inches interest latitude least common multiple length less longitude measure method miles mills months multiplicand Multiply nines NOTE obtain OPERATION paid payment period pounds present prime factors principal Proof proportion purchased quantity quotient ratio received Reduce remainder result root RULE share shillings side simple sold square subtract TABLE taken tens third thousand tons true units weight whole number worth write written yards