Elementary Algebra

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Scott, Foresman, 1916 - Algebra - 338 pages
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Page 175 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 255 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.
Page 255 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend. 3. Double the root already found, for a trial divisor; find how often it is contained in the dividend, exclusive of the righthand figure, and place the result in the root, and also at the right of the trial divisor.
Page 176 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms when the numerator and denominator have no common factor.
Page 106 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 230 - If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.
Page 321 - The least common multiple of two or more numbers, is the least number that can be divided by each of them without a remainder.
Page 242 - ... may be found by multiplying the coefficient of the preceding...
Page 117 - The tens digit of a number is 3 less than the units digit. If the number is divided by the sum of the digits, the quotient is 4 and the remainder 3.
Page 134 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.

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