# The Federal Calculator; Or, Scholar's Assistant : Containing the Most Concise and Accurate Rules for Performing the Operations in Common Arithmetic; Together with Numerous Examples Under Each of the Rules, Varied So as to Make Them Conform to Almost Every Kind of Business

J.Grigg, 1830 - 180 pages
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### Contents

 Numeration 9 Multiplication 15 Subtraction 21 Tables of Money Weights and Measures 32 Compound Multiplication 45 Compound Subtraction 54 Compound Division 60 Proportion or the Single Rule of Three 72
 Loss and Gain 112 Exchange 118 Vulgar Fractions 124 Addition of Vulgar Fractions 130 Multiplication of Decimals 136 Double Position 144 Cube Root 151 Arithmetical Progression 157

 Double Rule of Three 79 Tare and Tret 91 Cornpound Interest 105
 Annuities at Compound Interest 166 Duodecimals 172 Proportion as 2 4 6 12 180

### Popular passages

Page 2 - IDE, of the said District, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " Inductive Grammar, designed for beginners. By an Instructer." In conformity to the act of the Congress of the United States...
Page 126 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 2 - An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Page 73 - ... multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as ftie third term.
Page 157 - Multiply the sum of the two extremes by the number of terms, and half the product will be the sum of all the terms.
Page 20 - When the multiplier is a composite number, (or exactly equal to the product of any two figures in the multiplication table ; — RULE. — Multiply first by one of those figures, and that product by the other, the last product will be the answer.
Page 143 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer.
Page 168 - CASE 1. The annuity, and rate given, to find the present worth. RULE. Divide the annuity by the ratio less one, for the present worth. Note. — For perpetual half yearly, or quarterly payments, Table V.
Page 146 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive \$ '75, and, for every day he was idle, he should forfeit \$ '25 ; at the expiration of the time, he received \$ 27'50 ; how many days did he work...
Page 125 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.