# The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile Colleges : Containing the Analytic and Synthetic Methods, and Forming a Complete Treatise on Arithmetical Science and Its Commercial and Business Applications

Ivison, Phinney Company, 1860 - Arithmetic - 432 pages

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### Contents

 Definitions 11 Addition 23 Subtraction 30 Powers of Numbers 39 Division 47 Successive Division 55 General Problems in Simple Numbers 61 Prime Numbers 68
 For Multiplication 233 For Division 241 PROPORTION 247 Compound Proportion 253 PERCENTAGE 259 Applications 268 Instalments Assessments and Dividends 276 Profit and Loss 283

 Greatest Common Divisor 76 Least Common Multiple 82 FRACTIONS 89 Addition 99 Subtraction 101 Division 107 DECIMALS 117 Addition 124 Division 132 Reduction of Circulating Decimals 139 UNITED STATES MONEY 145 Ledger Accounts 153 Continued Fractions 161 Measures of Capacity 170 Measure of Angles 177 French Measures and Weights 184 Reduction 192 Reduction Ascending 199 Addition 206 Multiplication 214 DUODECIMALS 227
 Life Insurance 289 General Average 297 Simple Interest 303 Partial Payments or Indorsements 310 Compound Interest 317 Discount 324 Exchange 333 Table of Foreign Coins and Money 338 Arbitrated Exchange 344 Compound Equations 353 Settlement of Accounts Current 359 ALLIGATION 366 INVOLUTION 375 Contracted Method 382 Contracted Method 388 Applications of the Square and Cube Roots 394 SERIES 402 Compound Interest by Geometrical Progression 411 MISCELLANEOUS EXAMPLES 418 MENSURATION 425

### Popular passages

Page 193 - TABLE. 4 farthings (far. or qr.) make 1 penny d. 12 pence " 1 shilling, s. 20 shillings " 1 pound or sovereign . . £ or sov.
Page 312 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 78 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor...
Page 351 - 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 380 - The Square Root of a number is one of the two equal factors that produce the number ; thus the square root of 49 is 7, for 7 X 7 = 49.
Page 386 - The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units.
Page 171 - Cubic Measure 1728 cubic inches (cu. in.) =1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 94 - 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 191 - TABLE. 10 mills, (m.) make 1 cent, ct. 10 cents " 1 dime, d. 10 dimes " 1 dollar, \$. 10 dollars
Page 173 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...