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

Robert S. Davis & Company, 1857 - 444 σελίδες

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### Περιεχόμενα

 INTRODUCTION 7 DEFINITIONS 13 NUMERATION 20 SUBTRACTION 30 DIVISION 44 GENERAL PRINCIPLES 53 PROBLEMS 66 COMPOUND NUMBERS 88
 CONTINUED FRACTIONS 227 PROPORTION 237 PERCENTAGE 251 PARTNERSHIP OR COMPA 308 EQUATION OF PAYMENTS 320 INSURANCE 335 EXCHANGE 349 INVOLUTION 369

 Subtraction of Compound 116 PRINCIPLES AND APPLICA 126 PROPERTIES OF NUMBERS 137 COMMON FRACTIONS 154 DECIMAL FRACTIONS 197 CIRCULATING DECIMALS 217
 APPLICATIONS OF POWERS 388 PROGRESSION OR SERIES 395 ANNUITIES 405 PERMUTATIONS AND COM 411 SCALES OF NOTATION 417 MENSURATION 425

### Δημοφιλή αποσπάσματα

Σελίδα 158 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Σελίδα 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 322 - There is owing a merchant \$ 1000 ; \$ 200 of it is to be paid in 3 months, \$ 300 in 5 months, and the remainder in 10 months. What is the equated time for the payment of the whole sum ? Ans.
Σελίδα 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Σελίδα 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.
Σελίδα 241 - ... 35 gallons run out in an hour ; in what time will it be filled ? Ans. in 12 hours. 29. A and B depart from the same place and travel the same road ; but A goes 5 days before B, at the rate...
Σελίδα 276 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, til! all the payments are absorbed ; provided the time between one payment and another be one year or more.
Σελίδα 173 - ... as before. Therefore, Dividing the numerator or multiplying the denominator of a fraction by any number divides the fraction by that number (Art.
Σελίδα 350 - In reckoning when a bill, payable after date, becomes due, the day on which it is dated is not included ; and if it be a bill payable after sight, the day of presentment is not included. When the term is expressed in months, calendar months are understood ; and when a month is longer than the preceding, it is a rule not to go in the computation, into a third month.
Σελίδα 208 - 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.