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

Ivison, Blakeman, Taylor & Company, 1875 - 446 pages
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### Contents

 Definitions 11 Subtraction 12 SIMPLE NUMBERS 22 Longitude and Time 29 Subtraction 30 Powers of Numbers 37 Division 47 Contractions in Division 55
 PERCENTAGE 259 Applications 268 Stock Investments 279 Profit and Loss 287 Life Insurance 293 General Average 301 Simple Interest 307 Partial Payments or Indorsements 314

 Factor Table 71 Greatest Common Divisor 76 Least Common Multiple 82 DECIMALS 117 Addition 124 Division 132 UNITED STATES MONEY 145 Ledger Accounts 153 FRACTIONS 160 COMPOUND NUMBERS 164 Measures of Weight 175 English Measures and Weights 182 Definitions Notation and Numeration 192 Addition 206 DUODECIMALS 227 For Multiplication 233 For Division 241 PROPORTION 247
 179 321 Discount 328 Exchange 337 Arbitrated Exchange 348 Compound Equations 357 Partnership 364 ALLIGATION 370 INVOLUTION 379 Contracted Method 386 Contracted Method 392 SERIES 398 Annuities 408 MISCELLANEOUS EXAMPLES 414 MENSURATION 421 Circles 428 Solids 435 Similar Solids 441 Boards and Timber 448

### Popular passages

Page 245 - In any proportion, the product of the means equals the product of the extremes.
Page 422 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -turn and the three remainders together; the square root of the product is the area.
Page 433 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
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 383 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 93 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 167 - 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 399 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans.
Page 426 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 35 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.