The Progressive Practical Arithmetic: Containing the Theory of Numbers, in Connection with Concise Analytic and Synthetic Methods of Solution, and Designed as a Complete Text-book on this Science for Common Schools and Academies

Ivison, Phinney, Blakeman & Company, 1868 - 372 σελίδες

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Σελίδα 40 - Division is the process of finding how many times one number is contained in another.
Σελίδα 157 - Cubic Measure 1728 cubic inches (cu. in.) =1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord...
Σελίδα 65 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Numbers prime to each other are such as have no common divisor. A common divisor is sometimes called a Common Measure; and the greatest common divisor, the Greatest Common Measure.
Σελίδα 87 - To reduce fractions to the least common denominator. The Least Common Denominator of two or more fractions is the least denominator to which they can all be reduced, and it must be the least common multiple of the lowest denominators.
Σελίδα 81 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.
Σελίδα 42 - If there lie a remainder after dividing any figure, regard it as prefixed to the figure of the next lower order in the dividend, and divide as before. IV. Should any figure or part...
Σελίδα 318 - 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.
Σελίδα 146 - Apothecaries' Weight is used by apothecaries and physicians in compounding medicines; but medicines are bought and sold by avoirdupois weight. TABLE. 20 grains (gr.) make 1 scruple, sc. or 9. 3 scruples " '1 dram, dr. or 38 drams " 1 ounce, oz. or §. 12 ounces
Σελίδα 317 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 309 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...

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