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

R. S. Davis, 1860 - Arithmetic - 444 pages
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### Contents

 DEFINITIONS 13 NUMERATION 20 SUBTRACTION 30 DIVISION 38 GENERAL PRINCIPLES 53 Money 70 Division of United States 76 Subtraction of Compound 116
 Brokerage and Commission 299 Reduction of Common Frac 303 PARTNERSHIP OR COMPA 308 INSURANCE 335 COINS AND CURRENCIES 345 A Common Denominator 347 Inland Bills 353 ALLIGATION 363

 72 124 PROPERTIES OF NUMBERS 137 COMMON FRACTIONS 154 DECIMAL FRACTIONS 197 CIRCULATING DECIMALS 217 mals 224 Reduction and Comparison 232 Promissory Notes 272 Compound Interest 279
 INVOLUTION 369 Extraction of the Cube Root 378 Extraction of any Root 384 Multiplication of Common 387 PROGRESSION OR SERIES 395 PERMUTATIONS AND COM 407 169 409 Addition and Subtraction 421

### Popular passages

Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 322 - B. \$380, to be paid as follows: \$100 in 6 months, \$120 in 7 months, and \$160 in 10 months. What is the equated time for the payment of the whole ? Ans.
Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 382 - 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. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.
Page 276 - 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 204 - 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 24 - Addition is the process of finding the sum of two or more numbers.
Page 322 - B \$ 600, of which \$ 200 is to be paid at the present time, 200 in 4 months, and 200 in 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 93 - ... 5760 NOTE 1. — In this weight the pound, ounce, and grain are the same as in Troy Weight. NOTE 2. — Medicines are usually bought and sold by Avoirdupois Weight NOTE 3.
Page 357 - Sixty days after sight of this, my first Bill of Exchange, (second and third of the same date and tenor unpaid,) pay to Langdon Shannon, or order, one hundred pounds sterling, value received, with or without further advice.