# 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

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### Contents

 Definitions 9 Numeration Table 17 Subtraction 32 Multiplication 41 Contractions 48 Contractions 63 General Principles of Division 72 Greatest Common Divisor 81
 Liquid Measure 175 Circular Measure 180 Circular Measure 181 Addition of Compound Numbers 190 To find the Difference in Dates 196 Longitude and Time 203 Promiscuous Examples 210 Commission and Brokerage 218 Profit and Loss 225

 Multiples 87 Definitions c 94 Addition of Fractions 97 Subtraction of Fractions 106 Multiplication of Fractions 112 Division of Fractions 114 Promiscuous Examples 120 Reduction of Decimals 129 Multiplication of Decimals 135 Reduction of Decimal Currency 141 Additional Applications 147 Promiscuous Examples 154 Troy Weight 161 Apothecaries Weight 162 Surveyors Long Measure 168
 Insurance 231 Simple Interest 239 Partial Payments or Indorsements 245 Problems in Interest 251 Compound Interest 254 Banking 260 Equation of Payments 269 RATIO AND PROPORTION 277 Compound Proportion 287 Analysis 296 Alligation Medial 305 Involution 311 Cube Root 320 Arithmetical Progression 326 Promiscuous Examples 332

### Popular passages

Page 54 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 162 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 304 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 161 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal.) 31| gallons = 1 barrel (bbl...
Page 81 - 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 266 - Three numbers may be in proportion when the first is to the second as the second is to the third.
Page 97 - 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.
Page 242 - TABLE, Showing the amount of \$1, or £1, at 3, 4, 5, 6, and 7 per cent , compound interest, for any number of years, from 1 to 20.
Page 256 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 189 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...