The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both Theoretically and Practically to Meet the Exigencies of the Student in the Acquisition of the Nature and Science of Numbers, and Also, to Aid the Accountant in All Arithmetical Computations, Relative to Business Transactions : Designed for the Use of Academies, Schools, and Counting-houses

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J. & J. Harper, 1828 - Arithmetic - 348 pages
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Page 104 - ... 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 272 - RULE. 1. Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure from the place of units to the left, and if there be de- . cimals, to the right.
Page 229 - ... compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year : add it to the sum paid, and deduct that sum from the principal and interest added as above...
Page 229 - But if there be several payments made within the said time, find the amount of the several payments, from the time they were paid, to the time of settlement, and deduct their amount from the amount or the nrincina.
Page 227 - COMPUTE the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due: add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...
Page 251 - IS the method of finding what quantity of e'ach of the ingredients, whose rates are given, will compose a mixture of a given rate; so that it is the reverse of alligation medial, and may be proved by it. CASE. I.
Page 75 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator; and they will form the fraction required. . EXAMPLES. 1. Reduce of | of of -fa to a simple fraction.
Page 37 - DIVISION teaches to find how many times one whole number is contained in another ; and also what remains ; and is a concise way of performing several subtractions. Four principal parts are to be noticed in Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which shows how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor, and of the same name...
Page 278 - ... terms, RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms. EXAMPLES FOR PRACTICE. 2. If the extremes be 5 and 605, and the number of terms 151, what is the sum of the series?

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