# 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, 1859 - Arithmetic - 336 pages

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### Contents

 Definitions 7 Numeration Table 15 Subtraction 28 Multiplication 85 35 Contract ions 42 Subtraction of Fractions 98 Multiplication of Fractions 104 Division of Fractions 110
 Surveyors Square Measure 164 Time 170 PERCENTAGE 205 Stocks 214 Insurance 223 Simple Interest 281 231 RATIO AND PROPORTION 269 Compound Proportion 279

 Subtraction of Decimals 126 To find the Cost of a Quantity 140 Bills 146 Beductlon 150 Long Measure 158
 Analysis 288 Alligation Medial 297 Arithmetical Progression 318 Promiscuous Examples 824 324 Mensuration 882 332

### Popular passages

Page 48 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 171 - 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 73 - 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 52 - 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 95 - 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 195 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 40 - 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 169 - 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 68 - 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 197 - 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°...