# 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

 INTRODUCTION 7 COMPOUND NUMBERS 88 AXIOMS 116 SUBTRACTION 123 206 154 General Principles and 169 Analysis by Aliquot Parts 78 197 Complex Fractions 320
 Reduction of Decimals 210 349 Addition of Circulating Deci 363 225 369 CONTINUED FRACTIONS 384 Ratios 395 Simple Proportion 405 PERCENTAGE 413 Promissory Notes 420

### Popular passages

Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 320 - 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 380 - 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 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 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 320 - 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 355 - 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.