# A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States

William S. Parker & Son, 1832 - Arithmetic - 528 pages
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Page 265 - If the payment be less than the interest, the surplus of the interest must not be taken to augment the principal ; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Page 349 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 195 - 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 73 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 264 - Compute the interest to the time of the first payment, if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 264 - ... then 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 80 - To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE. — Reduce the given quantity to the lowest term mentioned for a.
Page 74 - Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 264 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 346 - RULE. 1. Take any number and perform the same operations with it as are described to be performed in the question. 2. Then say as the sum of the errors is to the giren sum, so is the supposed number to the true one required.