## The Federal Arithmetic; Or, A Compendium of the Most Useful Rules of that Science: Adapted to the Currency of the United States. For the Use of Schools and Private Persons. Published Agreeably to Act of Congress. By James Noyes |

### Common terms and phrases

28 cents 2pks 40 dollars A's gain acres annex Answer assumed root barrel Bought bushel cents per lb cimal cloff common denominator compound interest cube root currency cyphers decimal dimes divi divide dividend divisor is contained doll Dry Measure equal equivalent whole EXAMPLES farthings Federal Money gain or loss gallons given number gross hogsheads improper fraction inches least common multiple left hand less number Livres Tournois mainder man's share mixed number months multiplicand neat weight New-York ounces payment pence place of units principal proceed Proof quarts quotient reduce the Federal remainder Required the cube Required the interest right hand figure rods Rule of Three shillings Simple Interest Single Rule square root subtract tare Tare and Tret third term tret Troy Weight VULGAR FRACTIONS whole gain whole numbers whole or mixed worth yards of cloth

### Popular passages

Page 111 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 76 - Or when the third term is greater than the first, and requires the fourth term to be less than...

Page 76 - ... for the second term, and the other for the first. III. finally, multiply the second and third terms together, divide the product by the first, and the quotient will be the answer in the same denomination as the third term.

Page 91 - As the sum of the several products, Is to the whole gain or loss ; So is each man's particular product, To his particular share of the gain or loss.

Page 140 - A single, simple, or proper fraction, is when the numerator is less than the denominator, as 4 3 | -|f , &c.

Page 48 - ... therefore, divide as in whole numbers, and, from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.

Page 113 - Subtract the original principal from the last amount, and the remainder will be the Compound Interest. EXAMPLES.

Page 86 - ... multiply the first, second and last terms together for a dividend, and the other two for a divisor ; and the quotient will be the answer.

Page 150 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 86 - State the question, by placing the three conditional terms in such order that that number which is the cause of gain, loss, or action, may possess the first place ; that which denotes space of time, or distance of place, the second ; and that which is the gain, loss, or action, the third.