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 25
... Quot . 420305 Remainder 0 66 30891829676 by 759 ( 6 63463902247 by 3065 66 1204530760 by 7489 ( 6 112737328 by 42163 " 40700697 66 653 " 20706003 66 3055 " 160840 " 2673 66 " 35629 Divide 392628787 by 61745 Quot . 6358 Rem . 54077 ...
... Quot . 420305 Remainder 0 66 30891829676 by 759 ( 6 63463902247 by 3065 66 1204530760 by 7489 ( 6 112737328 by 42163 " 40700697 66 653 " 20706003 66 3055 " 160840 " 2673 66 " 35629 Divide 392628787 by 61745 Quot . 6358 Rem . 54077 ...
Page 26
... Quot . 6358 Rem . 54077 铺 66 3233238699 by 684573 " 4723 66 66 66 420 • 98839054780 by 476085 " 207608 " L 100 27750950255 by 4728395 " 5869 ( 6 0 CONTRACTIONS . - CASE 1st . 14. Q. When there are cyphers at the right hand of the ...
... Quot . 6358 Rem . 54077 铺 66 3233238699 by 684573 " 4723 66 66 66 420 • 98839054780 by 476085 " 207608 " L 100 27750950255 by 4728395 " 5869 ( 6 0 CONTRACTIONS . - CASE 1st . 14. Q. When there are cyphers at the right hand of the ...
Page 27
... Quot . 110 ) 467819 Rem . Divide 365789 by 100 Quot . 3657 Rem . 89 66 789642 " 1000 66 789 66 642 66 598463 10000 16 59 66 8463 19 . CASE 3d . - SHORT DIVISION . Q. What is Short Division ? A. It is when the divisor does not exceed 12 ...
... Quot . 110 ) 467819 Rem . Divide 365789 by 100 Quot . 3657 Rem . 89 66 789642 " 1000 66 789 66 642 66 598463 10000 16 59 66 8463 19 . CASE 3d . - SHORT DIVISION . Q. What is Short Division ? A. It is when the divisor does not exceed 12 ...
Page 30
... Quot . 1196 Rem . 157 90342 by 93 66 9265 ( C 84 9 66 432156 66 632472 - 66.1728316 ( 6 4033456 by " 16207095 by 25 ... Quot . 1234532 Divide 98358 by 6 . 6 ) 98358 2 2 Divide 785632 by 11 . Quot . 7142 12 ) 196717 Divide 485987 by 14 ...
... Quot . 1196 Rem . 157 90342 by 93 66 9265 ( C 84 9 66 432156 66 632472 - 66.1728316 ( 6 4033456 by " 16207095 by 25 ... Quot . 1234532 Divide 98358 by 6 . 6 ) 98358 2 2 Divide 785632 by 11 . Quot . 7142 12 ) 196717 Divide 485987 by 14 ...
Page 60
... annexed must be counted as a decimal place in the dividend . † ( + ) Signifies more or that after obtaining the quotient there is still a remainder . Divide 5737 by 133 Quot . 43,1358+ Divide 918,217 by 60 DECIMALS .
... annexed must be counted as a decimal place in the dividend . † ( + ) Signifies more or that after obtaining the quotient there is still a remainder . Divide 5737 by 133 Quot . 43,1358+ Divide 918,217 by 60 DECIMALS .
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...