# The American Student's Guide: Containing a Compendious System of Theoretical and Practical Arithmetic, Compiled for the Use of Schools and Private Students in the United States

Printed at the Republican office, 1834 - 312 σελίδες

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### Περιεχόμενα

 NUMERATION Page 1 SimPLE SUBTRACTION 7 SIMPLE Division 14 ARITHMETICAL PROBLEMs 23 Division of decimals 31 Compound ADDITION 48 CoMPound SUBTRACTIon 60 MULTIPLICATION of Duodecimals 69
 FELLowsHIP 163 ExcHANGE 199 Exohange continued 202 ARBITRATION of Exchanges 212 Of the Square Biquadrateroot 230 ANNUITIEs or Pensions in arrears at Simple Interest 248 Of the present worth of annuities c at Compound 254 PERPETUITIES 260

 Division of CRoPs 76 THE SINGLE RULE of THREE 93 THE Double RULE of THREE 104 THE ComPARIson of WEIGHTS AND MEASUREs 112 TARE AND TREr w 129 INsurANCE CoMMIssion AND BROKERAGE 145 BARTER 151
 Position 269 PERMUTATION 279 MENsuration Page 283 OF ARTIFICERs Work 296 GAUGING 303 244 311 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 14 - DIVISION teaches to find how many times one whole number is contained in another ; and also what remains ; and is a concise way of performing several subtractions. Four principal parts are to be noticed in Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which shows how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor, and of the same name...
Σελίδα 215 - RULE. 1. Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on...
Σελίδα 276 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Σελίδα 171 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator. This product becomes the numerator of the result and the denominator remains the same, eg, 2 (5x3) + 2 15 + 2 17 3" 3 3 " 3 To change an improper fraction to a mixed number, simply divide the numerator by the denominator.
Σελίδα 194 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 276 - New-London to a certain place in 9 days, and to go but 3 miles the first day, increasing every day by an equal excess, so that the last day's journey may be 43 miles: Required the daily increase, and the length of the whole journey 1 Ans.
Σελίδα 31 - ... many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Σελίδα 280 - ... make no considerable alteration; he being but one, imagined that he should make a good bargain, and readily, (for the sake of a good dinner, and better company) entered into an agreement with them, and so made himself the eighth person; I demand how long...
Σελίδα 170 - Divide the terms by any number that will divide them both without a remainder, and divide the quotients in the same manner, and so on, till no number greater than 1 will divide them; the fraction is then at its lowest terms.
Σελίδα 282 - Take a series of as many terms, decreasing by 1, from the given number, out of which the election is to be made, and find the product of all the terms.