# The Teachers' Assistant, Or, A System of Practical Arithmetic: Wherein the Several Rules of that Useful Science are Illustrated by a Variety of Examples, a Large Proportion of which are in Federal Money : the Whole Designed to Abridge the Labour of Teachers, and to Facilitate the Instruction of Youth

Benjamin Warner, 1817 - Arithmetic - 198 pages
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### Contents

 NOMERATION 10 Simple Division 20 Simple Reduction 31 Compound Addition 43 Compound Subtraction 50 Compound Multiplication 56 Compound Reduction 67 The Single Rule of Three 73
 Insurance Commission and Brokage 109 Barter 115 Exchange 122 Vulgar Fractions 129 Decimal Fractions 144 A general rule for extracting the roots of 162 Position 168 Compound Interest by Decimals 176

### Popular passages

Page 147 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 131 - 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.
Page 132 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 172 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 163 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 74 - Set that term of the supposition which is ol the same name or kind with the term of demand, in the first place, set the other term of supposition in the second place, and the term of demand in the third place.
Page 169 - Suppose two numbers, and work with each agreeably to the tenor of the question, noting the errors of the results : multiply the errors of each operation into the supposed number of the other ; then, If the errors be alike, i.
Page 12 - Ans. 90. 5. A merchant bought of one person 50 barrels of flour for 300 dollars ; of another person, 75 barrels for 525 dollars ; and of another person, 125 barrels for 1000 dollars.
Page 171 - Multiply the number of terms, less 1, by the common difference, and to the product add the first term, the sum is the last term.