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
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acres added amount ANALYSIS annex barrels bought bushels called cent ciphers cloth column common denominator compound contained cords corn cost decimal denominator difference Divide dividend division dollars equal exact EXAMPLES FOR PRACTICE expressed factors feet figure five flour four fourths fraction gain gallons Give explanation given numbers greater greatest common divisor hand Hence horses hundred inches interest land least common multiple length less loss measure merchant method miles mills months Multiply nine notation NOTE obtain OPERATION paid payment period person piece pounds prime principal purchase quotient ratio receive Reduce remainder result rods root RULE sell share side simple sold square step subtract TABLE tens third thousand tons units weight wide worth write yards
Page 46 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 71 - 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. NOTE. A common divisor is sometimes called a Common Measure; and the greatest common divisor, the Greatest Common Measure.
Page 50 - If any partial dividend will not contain the divisor, place a cipher in the quotient, and bring down the next figure of the dividend, and divide as before.
Page 93 - 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.
Page 191 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 38 - RULE. I. Write the multiplier under the multiplicand, placing units of the same order under each other. II. Multiply the multiplicand by each figure of the multiplier successively, beginning with the unit figure, and write the first figure of each partial product under the figure of the multiplier used, writing down and carrying as in addition. III. If there are partial products, add them, and their sum will be the product required.
Page 165 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea is in the proportion of Thirty-Six Inches to Thirty-Nine Inches and one thousand three hundred and ninety-three ten-thousandth Parts of an Inch...
Page 66 - Divide the given number by any prime factor ; divide the quotient in the same manner, and so continue the division until the quotient is a prime number. The several divisors and the last quotient will be the prime factors required.
Page 193 - To find the difference of longitude between two places, when the difference of time is known. 1. If the difference of time between New York and Cincinnati be 41 min. 32 sec., what is the difference of longitude ? OPERATION. ANALYSIS. Since 4 minutes of time min. sec. make a difference of 1°...