# 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 - 432 páginas

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### Contenido

 Definitions 11 Subtraction 30 Powers of Numbers 39 Division 47 Contractions in Division 55 General Problems in Simple Numbers 61 Exact Divisors 70 Greatest Common Divisor 76
 PERCENTAGE 259 Profit and Loss 283 Insurance 290 General Average 297 Partial Payments or Indorsements 310 Compound Interest 317 Discount 323 Exchange 329

 Least Common Multiple 82 FRACTIONS 89 Addition 99 Theory of Multiplication and Division 103 209 118 216 124 COMPOUND NUMBERS 164 Miscellaneous Tables 178 Multiplication 214 DUODECIMALS 227 RATIO 243
 Direct Exchange 335 L 340 Equation of Payments 348 Account Sales 357 ALLIGATION 366 INVOLUTION 375 Contracted Method 382 SERIES 402 Compound Interest by Geometrical Progression 411 MISCELLANEOUS EXAMPLES 418 MENSURATION 425

### Pasajes populares

Página 193 - TABLE. 4 farthings (far. or qr.) make 1 penny d. 12 pence " 1 shilling, s. 20 shillings " 1 pound or sovereign . . £ or sov.
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 191 - TABLE. 10 mills, (m.) make 1 cent, ct. 10 cents " 1 dime, d. 10 dimes " 1 dollar, \$. 10 dollars
Página 173 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...