The New Federal Calculator, Or, Scholar's Assistant: Containing the Most Concise and Accurate Rules for Performing the Operations in Common Arithmetic : Together with Numerous Examples Under Each of the Rules, Varied So as to Make Them Conformable to Almost Every Kind of Business : for the Use of Schools and Counting Houses

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Grigg & Elliott, 1825 - Arithmetic - 180 pages

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Page 134 - The construction of this table is from an algebraic theorem, given by the learned A, de Moivre, in his treatise of Annuities on Lives, which may be in words, thus : For half yearly payments take a unit from the ratio, and from the square root of the ratio; half the quotient of the first remainder divided by the latter, will be the tabular number. For quarterly payments use the 4th root as above, and take one quarter of the quotient.
Page 20 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 111 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer.
Page 69 - ... principal is the money for which interest is to be received. The rate per cent, per annum, is the interest of 100 pounds or dollars for one year. The time is the number of years or months, &c. for which interest is to be calculated. The amount is the sum of the principal and interest. CASE 1. To find the interest when the time is one year, and the rate per cent, is pounds or dollars only. RULE...
Page 97 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 92 - Case 5. To find a common denominator. Rule. 1. Find the least common denominator, by dividing the given denominators by any number that will divide two or more without a remainder. 2. Set the quotients and individual numbers underneath, and continue the division till no two numbers can be lessened. 3. Multiply the quotients and the divisor or divisors, and the product will be the least common denominator; into which, divide each...
Page 29 - Scale: 4 farthings (far.) = 1 penny (d.); 12 pence = 1 shilling (s.) ; 20 shillings — 1 pound (). 156.
Page 100 - 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 31 - WEIGHT. 16 drams (dr.) make 1 ounce, marked oz. 16 ounces 1 pound Ib. 28 pounds 1 quarter qr. 4 quarters 1 hundred weight cwt. 20 hundred weight 1 ton T.

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