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Essentials of Algebra: Complete Course (an Adequate Preparation for the ...
John C. Stone
No preview available - 2015
added arithmetical arranged base binomial called changed CHAPTER Check coefficients common conditional contains definition denominator difference digits distance divided dividend division divisor equal equivalent evidently EXAMPLE EXERCISE exponents expression factors feet Find Find the numbers Find the value formula four fourth fraction given gives graph greater grouping Hence highest hour identical Illustrate imaginary inches increased indicated inequality integral inversely involved kind less letter linear logarithm lowest means method miles monomial Multiplying negative NOTE obtained polynomial positive principle problem proportion quadratic equation quotient ratio Reduce remainder represent result roots rule satisfy Show Simplify solutions Solve species square Substituting Subtracting surd taken things third tion true unknown numbers variable varies whence whole Write written zero
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...