A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United StatesThomas & Andrews, 1809 - 300 σελίδες |
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Σελίδα 55
... terms , when it is expreffed by the leaft numbers poffible . 7. The common measure of two , or more numbers , is that number , which will divide each of them without a remainder : Thus , 5 is the common measure of 10 , 20 , and 30 ; and ...
... terms , when it is expreffed by the leaft numbers poffible . 7. The common measure of two , or more numbers , is that number , which will divide each of them without a remainder : Thus , 5 is the common measure of 10 , 20 , and 30 ; and ...
Σελίδα 56
... terms . EXAMPLES . 1. What is the greatest common measure of 1836 , 3996 , and 1044. ? 1836 ) 3996 ( 2 3672 324 ) 1836 ( 5 1620 216 ) 324 ( 1 216 So 108 is the greatest common measure of 3996 & 1836 ; Hence 108 ) 1044 ( 9 972 72 ) 108 ...
... terms . EXAMPLES . 1. What is the greatest common measure of 1836 , 3996 , and 1044. ? 1836 ) 3996 ( 2 3672 324 ) 1836 ( 5 1620 216 ) 324 ( 1 216 So 108 is the greatest common measure of 3996 & 1836 ; Hence 108 ) 1044 ( 9 972 72 ) 108 ...
Σελίδα 57
... terms . RULE . * Divide the terms of the given fraction by any number , which will divide thern without a remainder , and the quo- * That dividing both the terms , that is , both numerator and de- nominator of the fractions , equally by ...
... terms . RULE . * Divide the terms of the given fraction by any number , which will divide thern without a remainder , and the quo- * That dividing both the terms , that is , both numerator and de- nominator of the fractions , equally by ...
Σελίδα 58
... terms . Or , Divide both the terms of the fraction by their great- eft common measure , and the quotients will be the terms of the fraction required . EXAMPLES . 1. Reduce 288 to its lowest terms . 8 } 288 ) 480 ( 1 ( 4 ) ( 3 ) 280 = 10 ...
... terms . Or , Divide both the terms of the fraction by their great- eft common measure , and the quotients will be the terms of the fraction required . EXAMPLES . 1. Reduce 288 to its lowest terms . 8 } 288 ) 480 ( 1 ( 4 ) ( 3 ) 280 = 10 ...
Σελίδα 61
... terms . EXAMPLES . 1. Reduce of of of to a simple fraction . IX2X3X4 24 120 the Ans . 2X3X4x5 Or , by expunging the equal numerators and denomi- nators , it will give as before . 2. Keduce 3X4X5X11 - 660 = 1 Ans . 4x5X6X12 1440-24 11 12 ...
... terms . EXAMPLES . 1. Reduce of of of to a simple fraction . IX2X3X4 24 120 the Ans . 2X3X4x5 Or , by expunging the equal numerators and denomi- nators , it will give as before . 2. Keduce 3X4X5X11 - 660 = 1 Ans . 4x5X6X12 1440-24 11 12 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
aliquot amount annexed annuity annum anſwer Avoirdupois Boſton Bought bufhel cafe carats coft common difference compound intereft confequent coſt cube root cyphers decimal denominator diſcount divide dividend Divifion divifor dollars equal EXAMPLES fame farthings fecond Federal Money feet feries feveral fhall fhare fhillings fide filver fimple find the value firft term firſt fquare root fubtract fuch fugar gain or lofs gallons geometrical given number given price given quantity greateſt grofs Icwt improper fraction inches increaſed Integer laft laſt leaft lefs left hand leſs logarithm loweſt mixed number moidores months muft muſt number of terms pence pounds prefent worth principal PROB proportion purchaſe queſtion quotient rate per cent ratio Reduce refult remainder Rule of Three ſquare ſtand Suppofe TABLE tare theſe third thofe thoſe thouſand TROY WEIGHT VULGAR FRACTIONS whofe whole numbers whoſe yards coft
Δημοφιλή αποσπάσματα
Σελίδα 60 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator; and they will form the fraction required.
Σελίδα 61 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.
Σελίδα 73 - ADDITION OF DECIMALS. RULE. 1. Place the numbers, whether mixed or pure decimals, under each other, according to the value of their places.
Σελίδα 60 - Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Σελίδα 75 - ... 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.
Σελίδα 28 - ... 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.
Σελίδα 175 - 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.
Σελίδα 161 - 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.
Σελίδα 59 - 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.
Σελίδα 175 - 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.