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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T. H. Miller, and H. Gray & Company, 1824 - Arithmetic - 165 pages

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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...

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