# The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Forming a Complete Course of Higher Arithmetic

Robert S. Davis & Company, 1858 - Arithmetic - 444 pages

### Contents

 DEFINITIONS 13 NUMERATION 20 SUBTRACTION 30 DIVISION 38 GENERAL PRINCIPLES 53 Reduction of United States 72 General Principles and 78 Subtraction of Compound 116
 Reduction and Comparison 232 Interest 259 Promissory Notes 272 Compound Interest 279 Discount and Present Worth 286 INSURANCE 335 308 347 Inland Bills 353

 PROPERTIES OF NUMBERS 137 COMMON FRACTIONS 154 Addition of Common Frac 164 DECIMAL FRACTIONS 197 CIRCULATING DECIMALS 217 Subtraction of Circulating 225
 DUODECIMALS 388 PROGRESSION OR SERIES 395 237 405 169 409 Addition and Subtraction 421

### Popular passages

Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 274 - But if any payment be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest added as above.
Page 13 - ARITHMETIC is the science of numbers and the art of computing by them.
Page 202 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 380 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 339 - ... ad valorem. A Specific Duty is 'a certain sum paid on a ton, hundred weight, yard, gallon, &c.
Page 44 - ... divided into four equal parts, one of the parts is called one fourth, two of the parts two fourths, three of the parts three fourths ; etc.
Page 102 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 44 - When the dividend does not contain the divisor an exact number of times, the excess is called a remainder, and may be regarded as a fourth term in the division. When the dividend consists of a single denomination, the process is termed Division of Simple Numbers. 67.
Page 206 - 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.