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

Ivison, Blakeman, Taylor, 1874 - Arithmetic - 456 pages
0 Reviews
Reviews aren't verified, but Google checks for and removes fake content when it's identified

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 Definitions 11 Addition 23 Subtraction 30 Two or more subtrahends 33 Powers of Numbers 39 Division 47 General Problems in Simple Numbers 61 Prime Numbers 68
 Addition and Subtraction 227 For Multiplication 233 For Division 241 Simple Proportion 249 Notation 259 Applications 268 Stock Investments 279 Profit and Loss 287

 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 92 153 Continued Fractions 161 Measures of Capacity 170 Measure of Angles 177 French Measures and Weights 184 Reduction 192 Addition 206 Multiplication 214
 Life Insurance 293 Endowment Assurance Table 303 243 312 Partial Payments or Indorsements 50000 814 314 Compound Interest 821 321 Discount 328 Direct Exchange 339 Arbitrated Exchange 848 348 Compound Equations 357 Settlement of Accounts Current 363 ALLIGATION 870 370 INVOLUTION 879 379 Contracted Method 386 Contracted Method 392 Applications of the Square and Cube Roots 898 398 SERIES 406 Compound Interest by Geometrical Progression 415 MISCELLANEOUS EXAMPLES 422 Metric System 429

### Popular passages

Page 306 - 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 161 - 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 432 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 72 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Page 428 - Be it resolved by the Senate and House of Representatives of the United States of America in Congress assembled, That the Secretary of the Treasury be, and he is hereby, authorized and directed to furnish to each State, to be delivered to the governor thereof, one set of the standard weights and measures of the metric system for the use of the States, respectively.
Page 162 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 93 - When necessary, reduce the fractions to their least common denominator. Subtract the numerator of the subtrahend, from the numerator of the minuend, and place the difference of the new numerators over the common denominator.
Page 68 - 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 97 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 381 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.