The New Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
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Page 67
... number may be made an improper fraction , by drawing a line under it , and putting unity , or 1 , for a denominator ... terms , when it is expressed by the least numbers possible . 6. The common measure of two , or more , numbers ...
... number may be made an improper fraction , by drawing a line under it , and putting unity , or 1 , for a denominator ... terms , when it is expressed by the least numbers possible . 6. The common measure of two , or more , numbers ...
Page 68
... numbers to the laft ; then will the greatest common measure , last found , be the answer . 3. If I happens to be the common measure , the given numbers are prime to each other , and found to be incom- menfurable , or in their lowest terms ...
... numbers to the laft ; then will the greatest common measure , last found , be the answer . 3. If I happens to be the common measure , the given numbers are prime to each other , and found to be incom- menfurable , or in their lowest terms ...
Page 71
... terms . RULE . Divide the terms of the given fraction by any num- ber , which will divide them without a remainder . and the quotients , again , in the fame manner ; and so on , till it appears that there is no number greater than 1 ...
... terms . RULE . Divide the terms of the given fraction by any num- ber , which will divide them without a remainder . and the quotients , again , in the fame manner ; and so on , till it appears that there is no number greater than 1 ...
Page 72
... terms . Or , Divide both the terms of the fraction by the greatest common measure , and the quotients will be the ... number to its equivalent improper Fraction . RULE Multiply the whole number by the denominator of the fraction ...
... terms . Or , Divide both the terms of the fraction by the greatest common measure , and the quotients will be the ... number to its equivalent improper Fraction . RULE Multiply the whole number by the denominator of the fraction ...
Page 75
... number , it must be reduced to an improper fraction , by cafe 2d , or 3d . If the deno minator of any member of a ... terms . EXAMPLES . 1. Reduce of of of to a simple fraction . 1X2X3X4 24 2X3X4X5 - the Ans . Or , by expunging the ...
... number , it must be reduced to an improper fraction , by cafe 2d , or 3d . If the deno minator of any member of a ... terms . EXAMPLES . 1. Reduce of of of to a simple fraction . 1X2X3X4 24 2X3X4X5 - the Ans . Or , by expunging the ...
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A New and Complete System of Arithmetick: Composed for the Use of the ... Nicolas Pike No preview available - 2012 |
Common terms and phrases
affumed root annuity annum anſwer Avoirdupois becauſe Boſton buſhel Cafe compound intereſt cube root currency cyphers decimal denominator divide the product dividend diviſion diviſor dollars Engliſh money equal EXAMPLES fame farthings feet feries fimple find the value firſt term fraction fubtract gallons given fum given number given quantity groſs guineas improper fraction inches increaſed Integer iſt laſt leaſt left hand leſs Livres Livres Tournois logarithm loweſt meaſure mixed number moidores months Mult multiplicand Multiply the giv muſt number of terms pence piſtoles pounds preſent worth principal PROB Prod proportion queſtion quotient rate per cent ratio Reduce 100l remainder RULE ſame ſecond ſeries ſeveral ſhall ſhare shillings ſhould ſimple ſquare root ſtand ſtock ſuch ſum Suppoſe TABLE tare theſe third thoſe tient triple TROY WEIGHT VULGAR FRACTIONS weight whole numbers whoſe yards coſt
Popular passages
Page 239 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 232 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 205 - Tare is an allowance made to the buyer for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.
Page 220 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 212 - 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, which points show the number of figures the root will consist of. 2. Find the greatest square number in the first, or left hand period...
Page 220 - RULE. 1. Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure beyond the place of units. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.
Page 220 - Find the greatest cube in the left hand period, and put its root in the quotient. 3. Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.
Page 212 - ... it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 93 - ... therefore divide as in whole numbers, and from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 36 - ... setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition.