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

R. S. Davis, 1860 - 444 σεκΏδερ

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Ρεμ εμτοπΏσαλε ξώιτιξίρ στιρ σθμόηειρ τοποηεσΏερ.

### –εώιεςϋλεμα

 INTRODUCTION 7 DEFINITIONS 13 COMPOUND NUMBERS 88 NUMERATION 116 Complex Fractions 320 DECIMAL FRACTIONS 332
 Money 349 CONTINUED FRACTIONS 384 PROPORTION 400 PERCENTAGE 413 Analysis by Aliquot Parts 78 420 PARTNERSHIP OR COMPA 437

### Ργλοωικό αποσπήσλατα

”εκΏδα 15 - ... four hundred five hundred six hundred seven hundred eight hundred...
”εκΏδα 156 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
”εκΏδα 318 - 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.
”εκΏδα 42 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
”εκΏδα 22 - Addition is the process of finding the sum of two or more numbers.
”εκΏδα 378 - 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.
”εκΏδα 42 - 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 simple number, the process is termed Division of Simple Numbers. 67Ϊ Division is frequently indicated by writing the dividend above a short horizontal line and the divisor below; thus, f.
”εκΏδα 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.
”εκΏδα 166 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
”εκΏδα 171 - Multiplying the numerator or dividing the denominator of a fraction by any number, multiplies the fraction by that number. (2) Dividing the numerator or multiplying the denominator of a fraction by any number divides the fraction by that number.