Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of Schools, and to Private Study

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James Bloomfield, 1826 - Arithmetic - 215 pages

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Page ii - In conformity to the act of Congress of the United States. entitled, " 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 also to an act, entitled, " an act, supplementary to an act, entitled, 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 times therein mentioned...
Page ii - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 42 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Page 111 - A ratio is formed by two numbers, each of which is called a term, and both together, a couplet. Thus, 2 and 6 together form a couplet of which 2 is the first term, and 6 the second. The first term of a ratio is called the antecedent; -the second, the consequent.
Page 197 - What fraction is that, to the numerator of which if 1 be added, the value will be • ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Page 118 - PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS.
Page ii - Answers, 6d. Each subject is also accompanied by an example fully worked out and minutely explained. The Exercises are numerous and practical. A Complete System of Arithmetic, Theoretical and Practical; adapted to the Use of Schools and Private Students; containing the Fundamental Rules, and their application to Mercantile Computations ; Vulgar and Decimal Fractions ; Involution and Evolution ; Series ; Annuities, Certain and Contingent. By JAMES TBOTTEB.
Page 53 - The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number.
Page 169 - That is, the first term of an increasing arithmetical series is equal to the last term diminished by the product of the common difference into the number of terms less one. From the same formula...
Page 197 - The sides of two square pieces of ground are as 3 to 5, and the sum of their superficial contents is 30600 square feet. What is the length of a side of each piece ? Ans.

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