# 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 & Company, 1859 - 336 σεκΏδερ

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Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 Definitions 7 Numeration Table 15 Subtraction 28 Multiplication 35 Contractions 56 Definitions c 86 Reduction 89 Definitions c 105
 English Money 151 Long Measure 158 Surveyors Square Measure 164 Circular Measure 172 PERCENTAGE 205 Profit and Loss 217 Insurance 223 Simple Interest 231

 DECIMALS 116 Addition of Decimals 124 DECIMAL CURRENCY 131 Multiplication of Decimal Curren Articles sold by the 100 or 1000 142
 Alligation Medial 237 284 318 288 324

### Ργλοωικό αποσπήσλατα

”εκΏδα 46 - The dividend is the number to be divided. The divisor is the number by which we divide.
”εκΏδα 167 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
”εκΏδα 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.
”εκΏδα 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.
”εκΏδα 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.
”εκΏδα 191 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
”εκΏδα 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.
”εκΏδα 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...
”εκΏδα 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.
”εκΏδα 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 1Α...