The New Complete System of Arithmetic: Composed for the Use of the Citizens of the United States |
From inside the book
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Page 28
... those on the left , the quotient , as above . CAS E III . Short Divifion is , when the divifor does not exceed 12 . RULE . Firft , feek how often the divifor can be had in the first figure , or figures , of the dividend ; which , when ...
... those on the left , the quotient , as above . CAS E III . Short Divifion is , when the divifor does not exceed 12 . RULE . Firft , feek how often the divifor can be had in the first figure , or figures , of the dividend ; which , when ...
Page 29
... those two figures ; but , if noth- ing remain , you must then feek how often your divifor is contained in the next figure , or figures , and thus proceed till you have done . Divifor . Dividend . 2 ) 71935 Quot . 35967-1 5 . 8 ) 5437846 ...
... those two figures ; but , if noth- ing remain , you must then feek how often your divifor is contained in the next figure , or figures , and thus proceed till you have done . Divifor . Dividend . 2 ) 71935 Quot . 35967-1 5 . 8 ) 5437846 ...
Page 41
... those numbers under each other , which are of the fame denomination , the less being below the greater ; begin with the least denomination , and , if it exceed the figure over it , borrow as many units as make one of the next greater ...
... those numbers under each other , which are of the fame denomination , the less being below the greater ; begin with the least denomination , and , if it exceed the figure over it , borrow as many units as make one of the next greater ...
Page 45
... those two numbers , whose fum is 48 , and difference 14 ? 2 ) 48 Sum = 24 2. ) 14 diff . = 7 24 + 7 31 the greater , and 24-7 17 the lefs . Or 48—14 ÷ 2 — 17 , and 17 + 14 = 31 . PROB . PROB . 5. Having the fum of two numbers and ...
... those two numbers , whose fum is 48 , and difference 14 ? 2 ) 48 Sum = 24 2. ) 14 diff . = 7 24 + 7 31 the greater , and 24-7 17 the lefs . Or 48—14 ÷ 2 — 17 , and 17 + 14 = 31 . PROB . PROB . 5. Having the fum of two numbers and ...
Page 46
... those numbers . Rule . Divide the difference of their fquares by the fum of the numbers , and the quotient will be their differ- ence : You will then have their fum and difference to find the numbers by Prob . 4 . What two numbers are those ...
... those numbers . Rule . Divide the difference of their fquares by the fum of the numbers , and the quotient will be their differ- ence : You will then have their fum and difference to find the numbers by Prob . 4 . What two numbers are those ...
Common terms and phrases
3grs affumed root amount anfwer annuity annum Avoirdupois Bought bufhel cafe carats common difference cube root currency cyphers decimal denominator diſcount divide the product dividend divifion divifor Dollars equal EXAMPLES fame farthings fecond feet feries feven feveral fhall fhillings fhould fimple find the value firft term firſt fquare root ftand fubtract fuch gain gallon given fum given number given quantity greateſt grofs guineas improper fraction inches Integer laft laſt leaft lefs left hand Livres Livres Tournois lofs logarithm meaſure mixed number moidores months muft Mult multiplicand Multiply muſt Newyork number of terms pence pounds prefent worth principal PROB proportion purchaſe queftion quotient rate per cent ratio Reduce remainder RULE Rule.-Multiply Southcarolina Subtrahend Suppofe TABLE tare third thofe thoſe thouſand triple TROY WEIGHT VULGAR FRACTIONS weight whofe whole numbers yards coft ΙΟ
Popular passages
Page 243 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 216 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division...
Page 12 - I = One. II = Two. III = Three. IV = Four. V = Five. VI = Six. VII = Seven. VIII = Eight. IX = Nine. X = Ten. XI = Eleven.
Page 334 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other. RULE.
Page 73 - 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.
Page 72 - Multiply all the numerators continually together for a new numerator, and all the denominators for a new denominator, and they will form the simple fraction required.
Page 91 - ... 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 216 - 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 10 - First, commit the words at the head of the table, viz. units, tens,^ hundreds, &c. to memory, then, to the simple value of each figure, join the name of its place, beginning at the left hand, and reading towards the right.
Page 224 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.