A System of Arithmetic

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Published and sold by William Hilliard., 1812 - 248 sider
 

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Side 66 - 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.
Side 159 - 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.
Side 199 - 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.
Side 141 - 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.
Side 92 - 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.
Side 225 - ... 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.
Side 133 - 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.
Side 170 - 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.
Side 170 - 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.
Side 112 - 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.

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