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
Much less can such an expression be given by the untrained scholar . Now , as
precision in thought is essentially aided by precision in language , it is * deemed
expedient to furnish the scholar with rules which shall state in the fewest and ...
Much less can such an expression be given by the untrained scholar . Now , as
precision in thought is essentially aided by precision in language , it is * deemed
expedient to furnish the scholar with rules which shall state in the fewest and ...
Σελίδα 47
In multiplication , two factors are given , to find their product ; and in division , one
of two factors and their product are given , to find the other factor . 73. To divide
simple numbers . Ex . 1. How many yards of cloth , at 4 dollars a yard , can be ...
In multiplication , two factors are given , to find their product ; and in division , one
of two factors and their product are given , to find the other factor . 73. To divide
simple numbers . Ex . 1. How many yards of cloth , at 4 dollars a yard , can be ...
Σελίδα 51
The first remainder , 1 , is a unit of the given dividend , since it is a part of it ( Art .
71 ) . The second remainder , 2 , is units of the quotient 1757 , whose units are 2
times as great as those of the given dividend . The third remainder , 4 , is units of
...
The first remainder , 1 , is a unit of the given dividend , since it is a part of it ( Art .
71 ) . The second remainder , 2 , is units of the quotient 1757 , whose units are 2
times as great as those of the given dividend . The third remainder , 4 , is units of
...
Σελίδα 61
Multiply 87654 by 999 . Ans . 87566346 . By annexing three ci8 7 6 5 4 000 8 7 6
5 4 X1000 phers to the multiplicand 8 7 6 5 4 8 7 6 5 4 X 1 we take it 1000 times ,
or 1 time more than is re87 5 6 6 3 4 6 8 7 6 5 4 X 9 9 9 quired by the given ...
Multiply 87654 by 999 . Ans . 87566346 . By annexing three ci8 7 6 5 4 000 8 7 6
5 4 X1000 phers to the multiplicand 8 7 6 5 4 8 7 6 5 4 X 1 we take it 1000 times ,
or 1 time more than is re87 5 6 6 3 4 6 8 7 6 5 4 X 9 9 9 quired by the given ...
Σελίδα 63
Since the divisor used 128 was 1 larger than the given divisor , 99 , the quotient
obtained denotes that an excess of 31 9 4 % Ans . 3162 , or a number equal to
the quotient itself , must be added to the 34 for the true remainder , 34 +3162 ...
Since the divisor used 128 was 1 larger than the given divisor , 99 , the quotient
obtained denotes that an excess of 31 9 4 % Ans . 3162 , or a number equal to
the quotient itself , must be added to the 34 for the true remainder , 34 +3162 ...
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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