An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the Instruction of Youth in Schools and Academies in the United States |
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Page 13
... partial sums together . if the last result be equal to that found by the common method , the work is right . This will appear obvious from the following example : C 37928 93640 23574 75849 Entire sum 230991 Sum of the ON ARITHMETIC . 13 .
... partial sums together . if the last result be equal to that found by the common method , the work is right . This will appear obvious from the following example : C 37928 93640 23574 75849 Entire sum 230991 Sum of the ON ARITHMETIC . 13 .
Page 14
... common method , it may be concluded that both are right . Thus , in the annexed example , the sum of the left hand column is 25 , which is set down in full : the sum in the next column is 30 ; the cipher is set in its proper place , and ...
... common method , it may be concluded that both are right . Thus , in the annexed example , the sum of the left hand column is 25 , which is set down in full : the sum in the next column is 30 ; the cipher is set in its proper place , and ...
Page 21
... common method . The exception is the case in which the next figure in the upper line is a cipher ; in this case , the common method is considerably preferable ; and , as in practice that method is in no way inferior , it is universally ...
... common method . The exception is the case in which the next figure in the upper line is a cipher ; in this case , the common method is considerably preferable ; and , as in practice that method is in no way inferior , it is universally ...
Page 24
... numbers . The great advantage of an early application to arithmetic is the exercise which it affords to the thinking faculty . by the common name of factors , the multiplicand is 24 AN ELEMENTARY TREATISE Multiplication.
... numbers . The great advantage of an early application to arithmetic is the exercise which it affords to the thinking faculty . by the common name of factors , the multiplicand is 24 AN ELEMENTARY TREATISE Multiplication.
Page 25
... common name of factors , the multiplicand is that number which we want to add repeatedly to itself ; and the multiplier expresses the number of times that the former is to be repeated in that addition : the sum re- quired is called the ...
... common name of factors , the multiplicand is that number which we want to add repeatedly to itself ; and the multiplier expresses the number of times that the former is to be repeated in that addition : the sum re- quired is called the ...
Other editions - View all
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan No preview available - 2017 |
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan No preview available - 2017 |
An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ... James Ryan, Fra No preview available - 2016 |
Common terms and phrases
2qrs 3qrs acres amount of $1 annexed annuity annum answer antecedent Arithmetic barrel bushels called cents per lb ciphers column common difference compound interest contained cube root debt decimal fractions denominator digits discount divided dividend division divisor drams equal equivalent evident Exam example exchange Exercises Exercises.-1 expressed factors farthings feet figure fourth proportional furlongs gain gallons given fraction given numbers given sum grains greater Hence hundred improper fraction least common multiple lowest terms method miles millions minuend mixed number months multiplicand Multiply New-York number of terms operation ounces payable pence pennyweights performed poles pound sterling pounds present worth principal PROBLEM proceed quantity quotient rate per cent Reduce remainder Repeat the rule Required the cost Required the sum result roods shillings square root subtract third term thousand tion tons Troy weight units weight whole numbers yards
Popular passages
Page 66 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 129 - Rule. — Divide the numerator by the denominator, the quotient will be the whole number...
Page 129 - To reduce a mixed fraction to an equivalent improper fraction. RULE. — Multiply the whole number by the denominator of the fractional part, and to the product add the numerator, and place their sum over the said denominator.
Page 244 - When the sum of the series, the number of terms, and one of the extremes are given, to find the other extreme. Divide twice the sum of the series by the number of terms, and from the quotient take the given extreme.
Page 54 - WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.
Page 226 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Page 245 - A body near the earth falling by its own weight, if it were not resisted by the air, would descend in the first second of time through a space of 16 feet and 1 inch ; in the next second through 3 times that space ; in the third, through 5 times that space ; in the fourth, through 7 times that space, etc.
Page 220 - ... number contained in the first period, and place the cube root of it in the quotient. Subtract its cube from the first period, and bring down the next three figures ; divide the number thus brought down by 300 times the square of the first figure of the root, and it will give the second figure ; add 300 times the square of the first figure, 30 times the product of the first and second figures, and the square of the second figure together, for a divisor; then multiply...
Page 61 - A square inch is a square each of whose sides, is an inch long. A square foot is a square having each side 1 foot, or 12 inches long.