· Philadelphia, Sept. 16, 1811. THE Treatise on Arithmetic, by Mr. S. PIKE of this city, which you requested me to look over, I have paid some attention to, and view it as a work of merit.-It certainly deserves an introduction into our academies as an excellent school-book, which cannot fail of being acceptable to all those teachers, who are aware of the importance connected with the facility of cultivating and improving the understandings of their pupils. I am, respectfully, your's, WILLIAM ROGERS, D. D. Professor of English and Belles Lettres in the University of Pennsylvania. Messrs. Johnson & Warner. Philadelphia, September 23, 1911. AGREEABLY to your request I have examined Mr. PIKE'S Treatise of Arithmetic, and am much pleased with it. His mode of exemplifying the rules, is, I think, extremely well accommodated to the comprehension of juvenile pupils; while the general arrangement, extent, and scientific execution of the work, renders it worthy of adoption in both public and private seminaries. JAMES ABERCROMBIE, D. D. Director of the Philadelphia Academy. Messrs. Johnson & Warner. Philadelphia, Ninth mo. 26, 1811. I HAVE examined the system of Arithmetic compiled by S. PIKE, and am of opinion that it is well calculated for conveying to youth, in a short time, a general knowledge of that science. The commendable attention which the compiler has paid to a clear elucidation of his subject, as well as his careful exclusion of any thing which would unnecessarily perplex, entitles him to the thanks of those who are engaged in the laborious task of imparting knowledge to youth. BENJAMIN TUCKER. Philadelphia, Sept. 16, 1811. AFTER a careful inspection of Mr. S. PIKE's System of Arithmetic, I give it a decided preference to every other I have yet seen, and shall be glad of the publication of a work, that, in my opinion, will deduct from the labour of teaching, and conduce to the advantage of learners. GENTLEMEN, JOHNSON TAYLOR. Philadelphia, Sept. 30, 1811. I HAVE no hesitation in declaring my belief, in concurrence with the gentlemen who have already recommended S. PIKE's System of Arithmetic, that its pub-lication will conduce to the public and private utility of the arithmetical student. Your's, &c. SAMUEL B. WYLIE THE System of Arithmetic compiled by S. PIKE, is, in my opinion, a very judicious performance. The ar rangement of the parts, the perspicuity of the rules, and the appropriate and familiar nature of the examples, are peculiarly calculated to facilitate the progress of the learner. I therefore give the work a decided preference to any other on the subject, with which I am acquainted. JOHN GUMMERE, into, with, or multiplied by; as, 6X2-12. by (i. e. divided by) as, 6-2-3; or, 2)6(3. ARITHMETIC. 149 ARITHMETIC is the art of computing by numbers. It has five principal rules for its operations; viz. numeration, addition, subtraction, multiplication, and division. NUMERATION. Numeration teaches to write or express numbers by figures, and to read numbers thus written or expressed. In treating of numbers, the following terms are employed: viz. unit, ten, hundred, thousand, and million; as also billion, trillion, and some others. But the latter are seldom used. A unit is a single one. A ten is ten units. A hundred is ten tens. A thousand is ten hundreds. A million is ten hundred thousands. Note. As it takes ten hundred thousands to make a million, when we express a number, greater than a thousand, and less than a million, we use tens of thousands, or hundreds of thousands, or both, as the case requires. Likewise, to express a number, greater than a million, we employ tens of millions, or hundreds of millions, &c. The following are the figures used in numeration, with their names written above them. One two three four five six seven eight nine 1 2 3 4 5 6 ~ 8 Each of these figures represents the number which its name denotes; but it is understood to be that number of units, or that number of tens, or that number of hundreds, &c. according to its relative place: which is exemplified in the following tables. B |