The Arithmetical Catechism, Compiled from Various Authors, for the Use of Schools: With the Addition of Examples and Practical Questions Under Each Rule: the Whole Forming a Complete System of Arithmetic |
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Page 17
... Mult . 66 66 1742056 by 5 1809653 by 6 66 66 7491856 by 7 2629553 by 9 3502983 by 12 * In proving this sum by casting out the 9's , I be- gin at the right hand of the multiplicand and add thus ; 3 & 5 are 8 & 8 are 16 ; 7 above 9 ; drop ...
... Mult . 66 66 1742056 by 5 1809653 by 6 66 66 7491856 by 7 2629553 by 9 3502983 by 12 * In proving this sum by casting out the 9's , I be- gin at the right hand of the multiplicand and add thus ; 3 & 5 are 8 & 8 are 16 ; 7 above 9 ; drop ...
Page 19
... Mult . 2768000 by 246000 .. 8700 24600 102263 116872 Product12709830000 68092800000 Mult . 37926000 by 27300. Mult . 4610200 by 3120000 . Ans . 1035379800000 . CASE 5th . Ans . 15766884000000 . 15. Q. When there are cyphers between the ...
... Mult . 2768000 by 246000 .. 8700 24600 102263 116872 Product12709830000 68092800000 Mult . 37926000 by 27300. Mult . 4610200 by 3120000 . Ans . 1035379800000 . CASE 5th . Ans . 15766884000000 . 15. Q. When there are cyphers between the ...
Page 20
... Mult . 10746047 by 40500108 . Ans . 435216064073076 . Mult . 804700625 by 207008009 , Ans . 166579474222305625 , CASE 6th . 16. Q. When the Multiplier consists of 9's , how may the operation be contracted ? A. Annex as many cyphers to ...
... Mult . 10746047 by 40500108 . Ans . 435216064073076 . Mult . 804700625 by 207008009 , Ans . 166579474222305625 , CASE 6th . 16. Q. When the Multiplier consists of 9's , how may the operation be contracted ? A. Annex as many cyphers to ...
Page 21
... Mult . 93267 by 4 ) 93267 23316 Ans . Mult . 124360 by 7 Ans . 108815 . Mult . 834526 by Mult . 234672 by & 3 4 ) 704016 3 Ly 176004 Ans Ans . 417263 . * The reason why the term ' upper and lower figure of the fraction ' is used here ...
... Mult . 93267 by 4 ) 93267 23316 Ans . Mult . 124360 by 7 Ans . 108815 . Mult . 834526 by Mult . 234672 by & 3 4 ) 704016 3 Ly 176004 Ans Ans . 417263 . * The reason why the term ' upper and lower figure of the fraction ' is used here ...
Page 22
... Mult . 432156 by EXAMPLES . Mult . 63472 by 25 632472 432156 91 255 8 ) 3162360 144052 3889404 4033456 Prod . Mult . 2214678 by 201 Prod . 648722020 395295 3162360 1264944 16207095 Prod . Mult . 1728324 by 12 Prod . 22036131 . CASE 10th ...
... Mult . 432156 by EXAMPLES . Mult . 63472 by 25 632472 432156 91 255 8 ) 3162360 144052 3889404 4033456 Prod . Mult . 2214678 by 201 Prod . 648722020 395295 3162360 1264944 16207095 Prod . Mult . 1728324 by 12 Prod . 22036131 . CASE 10th ...
Common terms and phrases
100 dollars acres aliquot amount annex answer Bought bushels cents and mills Change ciphers circumference common denominator Compound contain cords corn cube root cubic denom diameter divide the product Dividend Division Divisor Dolls DRY MEASURE equal EXAMPLES extract the square farthings Federal Money gain or loss gallons given number given quantity given sum hundred improper fraction inches integers interest last Quotient Lawful Money left hand length lowest terms measure merator method of procedure minuend mixed number months Mult Multiplicand Multiply payment pence pounds PRACTICAL QUESTIONS proceed Prod Proof Quot Reduce Reduction Descending remainder right hand rods Rule of Three shillings signified sold solid feet square root Sterling Money stick of timber subtract Subtrahend sugar tare thick third term thousand TROY WEIGHT VULGAR FRACTIONS weight whole number wine yard
Popular passages
Page 147 - 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 143 - Seek how often the divisor is contained in the dividend (except the right hand figure) and place the answer in the root for the second figure of it, and likewise on the right hand of the divisor. Multiply the divisor with the figure last annexed by the figure last placed in the root, and subtract the product from the dividend.
Page 116 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 140 - As the whole sum of the products, is to the whole gain or loss, so is each man's particular product, to his particular share of the gain or loss.
Page 62 - Begin with the highest and write the Quotient of each division, as decimal parts on the right hand of the Dividend next below it, and so on, till they are all used, and the last Quotient will be the decimal sought.
Page 143 - 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.
Page 59 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 62 - Write the given numbers perpendicularly under each other for dividends, proceeding orderly from the least to the greatest : opposite to each dividend, on the left hand, place such a number for a divisor, as will bring it to the next superior name, and draw a line between them.
Page 145 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator. • ./Voie.«— If the fraction be...
Page 146 - Multiply the triple square by the last quotient figure, and write the product under this dividend ; multiply the square of the last quotient figure by the triple quotient...