Published and sold by William Hilliard, 1812 - Arithmetic - 248 pages
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### Contents

 NOTATION 9 Reduction 36 Compound Addition 46 DUODECIMALS 57 Reduction of Vulgar Fractions 64 Addition of do 74 Addition of Decimals 80 Reduction of do 89
 ibid 141 Involution 151 Extraction of the Square Root 160 Arithmetical Progression 173 Geometrical 187 Discount 194 Compound Interest 206 Value of an Annuity forever at Compound Interest 219

 FEDERAL MONEY 94 Addition of 103
 Double do 225 Miscellaneous Questions 242

### Popular passages

Page 62 - 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 153 - 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 193 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.
Page 135 - As the sum of the several 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 86 - Let the farthings in the given pence and farthings possess the second and third places ; observing to increase the second place or place of hundredths, by 5" if the shillings be odd; and the third place by 1 when the farthings exceed 12, and by 2 when they exceed 36.
Page 219 - ... is to the difference between the true and second supposed number ; when that is not the case, the exact answer to the question cannot be found by this rule.
Page 127 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.
Page 164 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply it by the number denoting the given power, for u divisor.
Page 164 - Bring doion the first figure of the next period to the remainder for a new dividend, to which find a new divisor, as before; and in like manner proceed till the whole is finished.
Page 106 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.