# 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 - Arithmetic - 444 pages

### Contents

 INTRODUCTION 7 NUMERATION 20 SUBTRACTION 30 GENERAL PRINCIPLES 53 PROBLEMS 66 74 221 Division of United States 303 EQUATION OF PAYMENTS 320
 197 332 General Principles and 347 210 349 ALLIGATION 363 225 371 Extraction of the Cube Root 378 Extraction of any Root 384 PROGRESSION OR SERIES 395

### Popular passages

Page 158 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 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.
Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
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.
Page 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...
Page 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.
Page 173 - ... as before. Therefore, Dividing the numerator or multiplying the denominator of a fraction by any number divides the fraction by that number (Art.
Page 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.
Page 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.