Essentials of Algebra: Complete Course (an Adequate Preparation for the College Or Technical School) : for Secondary Schools

B.H. Sanborn & Company, 1905 - Algebra - 506 pages
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Contents

 CHAPTER 1 CHAPTER II 16 CHAPTER III 30 EXERCISES FOR REVIEW I 43 MULTIPLICATION OF LITERAL EXPRESSIONS 56 DIVISION OF LITERAL EXPRESSIONS 67 POWERS AND ROOTS 69 CHAPTER V 71
 EXERCISES FOR REVIEW V 285 CHAPTER XVIII 290 INEQUALITIES 291 CHAPTER XIX 297 RATIO AND PROPORTION 298 VARIATION ALGEBRAIC EXPRESSION OF LAW 310 CHAPTER XXI 324 EXERCISES FOR REVIEW VI 334

 CHAPTER VI 71 The Fraction 71 Products 92 CHAPTER IX 103 The Remainder Theorem 123 COMMON FACTORS AND MULTIPLES 130 CHAPTER XI 139 EXERCISES FOR REVIEW III 157 CHAPTER XIII 178 EXERCISES FOR REVIEW IV 208 CHAPTER XV 230 CHAPTER XVI 253 CHAPTER XVII 261
 CHAPTER XXIII 346 CHAPTER XXIV 354 66 358 EXERCISES FOR REVIEW VII 371 CHAPTER XXVI 388 71 404 EXERCISES FOR REVIEW VIII 407 83 412 APPENDIX 1 123 6 The Highest Common Factor and Lowest Common Multiple 16 16 The proof of the Fundamental Laws 23 23 Copyright

Popular passages

Page 52 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 1 - Multiplication has been defined in arithmetic as the process of taking one number, called the multiplicand, as many times as there are units in the other, called the multiplier. It is evident that this definition holds only when the multiplier is a whole number, and fails when it is a fraction. Thus, to multiply 7 by 2\ would mean to take 7 as many times as there are units in i\, that is, 2^ times.
Page 265 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 317 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 69 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 263 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 69 - The product of two or more powers of the same number may be expressed by writing the number with an exponent equal to the sum of the exponents of the given powers. EXERCISE 13. Express the product of : 1. 76X73; 82X8; 23 X 2 ; 54 X 52. 2. 3.012 X 3.01 ; 0.67
Page 321 - ... decimal, and so on. Therefore, If a number is greater than 1, the characteristic of its logarithm is positive, and is less by 1 than the number of figures in the integral part of the number. Thus, in log 6841.27, the characteristic is 3.
Page 272 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...
Page 263 - In any proportion the, terms are in proportion by Division ; that is, the difference of the first two terms is to the first term, as the difference of the last two terms is to the third term.