# 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 - Arithmetic - 312 pages
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### Popular passages

Page 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...
Page 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...
Page 276 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 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.
Page 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.
Page 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.
Page 31 - ... many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 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...
Page 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.
Page 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.