# 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 - 456 pages
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### Contents

 Subtraction 12 Signs 13 Addition 23 Subtraction 30 Powers of Numbers 39 Division 47 Contractions in Division 55 Addition 61
 Addition and Subtraction 227 For Multiplication 233 For Division 241 Simple Proportion 249 Stocks 268 Instalments Assessments and Dividends 276 Profit and Loss 283 Life Insurance 289

 Prime Numbers 68 Greatest Common Divisor 76 Least Common Multiple 82 Definitions Notation and Numeration 89 Theory of Multiplication and Division 103 Greatest Common Divisor 111 Notation and Numeration 117 Addition 124 Division 132 Notation and Numeration 145 Ledger Accounts 153 Continued Fractions 161 Measures of Weight 172 Miscellaneous Tables 178 117 184 Reduction Ascending 192 127 197 Addition 206 Multiplication 214
 General Average 297 Simple Interest 303 23 307 Compound Interest 317 39 319 Discount 323 Exchange 329 Direct Exchange 335 Arbitrated Exchange 344 Compound Equations 353 Settlement of Accounts Current 359 ALLIGATION 366 INVOLUTION 375 47 378 50 384 55 399 61 405 65 420 259 427

### 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...