# 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 - Arithmetic - 336 pages

### Contents

 Reduction 7 SIMPLE NUMBERS 8 Addition 20 Subtraction 28 Multiplication 35 Contractions 42 Definitions c 86 DECIMALS 116
 Additional Applications 139 Promiscuous Examples 146 English Money 151 Long Measure 158 Surveyors Square Measure 164 Circular Measure 172 167 193 170 202

### Popular passages

Page 46 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 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.
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°...