The American Student's Guide: Containing a Compendious System of Theoretical and Practical Arithmetic, Compiled for the Use of Schools and Private Students in the United States |
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Page 6
... directed . S NOTATION BY LETTERS . A less literal number placed after a greater increases the value of the greater ; a less literal number placed before a greater , lessens the value of the greater : Thus , vi . is 6 and iv . is 4 - xi ...
... directed . S NOTATION BY LETTERS . A less literal number placed after a greater increases the value of the greater ; a less literal number placed before a greater , lessens the value of the greater : Thus , vi . is 6 and iv . is 4 - xi ...
Page 16
... directed . 6. But , if the second dividual be not sufficient to contain the di- visor , set a cipher in the quotient ; then , affix the next figure of the dividend ( not yet brought down ) to the said dividual , and so on , till a ...
... directed . 6. But , if the second dividual be not sufficient to contain the di- visor , set a cipher in the quotient ; then , affix the next figure of the dividend ( not yet brought down ) to the said dividual , and so on , till a ...
Page 37
... un- der the column of fractions , and add the quotient to the first column of the cents ; then , proceed as before directed . Observe this note in sterling money , & c . 1 " EXAMPLES BOTH WAYS . Cents . .061+ c 4 STUDENT'S GUIDE . 37.
... un- der the column of fractions , and add the quotient to the first column of the cents ; then , proceed as before directed . Observe this note in sterling money , & c . 1 " EXAMPLES BOTH WAYS . Cents . .061+ c 4 STUDENT'S GUIDE . 37.
Page 39
... CASE 1 . When the multiplier does not exceed 12 - set it under the right hand figure of the sum given to be multiplied , and multiply as above directed . EXAMPLES . 98.7.8.5 340.5.6.3 $ d . c.m. Multiply 144.9.8.9 STUDENT'S GUIDE . 39 '
... CASE 1 . When the multiplier does not exceed 12 - set it under the right hand figure of the sum given to be multiplied , and multiply as above directed . EXAMPLES . 98.7.8.5 340.5.6.3 $ d . c.m. Multiply 144.9.8.9 STUDENT'S GUIDE . 39 '
Page 46
... directed , till two decimal figures are obtained in the quotient for the cents ; then multiply the remainder ( if any ) by the lower figure of the given fraction , and add the upper one to the product ; divide that sum by the same ...
... directed , till two decimal figures are obtained in the quotient for the cents ; then multiply the remainder ( if any ) by the lower figure of the given fraction , and add the upper one to the product ; divide that sum by the same ...
Other editions - View all
The American Student's Guide: Containing a Compendious System of Theoretical ... George Alfred No preview available - 2016 |
The American Student's Guide: Containing a Compendious System of Theoretical ... George Alfred No preview available - 2017 |
The American Student's Guide: Containing a Compendious System of Theoretical ... George Alfred No preview available - 2017 |
Common terms and phrases
$6 per cent 2qrs 3qrs acres aliquot amount annuity annum answer required barrel bought bushels Change ciphers compound contained cost cube root currency decimal denominator difference discount divide the product dividend divisor dollars dols dry measure English ells equal EXAMPLES farthings federal money feet 6 inches figures gain or loss gallons given fraction given number given quantity given sum gross hogshead improper fraction interest least common multiple length merchant mills months Multiply neat weight number of integers payable pence pension piece pound sterling pounds present worth prompt payment proof proportion pwts quotient rate per cent ready money Reduce remainder resolvend right hand Rule of Three sell share shillings single fraction sold Spanish dollars square root subtract sugar tare term of supposition tobacco VULGAR FRACTIONS wheat whole numbers whole quantity wine
Popular passages
Page 14 - DIVISION teaches to find how many times one whole number is contained in another ; and also what remains ; and is a concise way of performing several subtractions. Four principal parts are to be noticed in Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which shows how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor, and of the same name...
Page 215 - RULE. 1. Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on...
Page 276 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 171 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator. This product becomes the numerator of the result and the denominator remains the same, eg, 2 (5x3) + 2 15 + 2 17 3" 3 3 " 3 To change an improper fraction to a mixed number, simply divide the numerator by the denominator.
Page 194 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 276 - New-London to a certain place in 9 days, and to go but 3 miles the first day, increasing every day by an equal excess, so that the last day's journey may be 43 miles: Required the daily increase, and the length of the whole journey 1 Ans.
Page 31 - ... many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 280 - ... make no considerable alteration; he being but one, imagined that he should make a good bargain, and readily, (for the sake of a good dinner, and better company) entered into an agreement with them, and so made himself the eighth person; I demand how long...
Page 170 - Divide the terms by any number that will divide them both without a remainder, and divide the quotients in the same manner, and so on, till no number greater than 1 will divide them; the fraction is then at its lowest terms.
Page 282 - Take a series of as many terms, decreasing by 1, from the given number, out of which the election is to be made, and find the product of all the terms.