Algebra for Beginners: With Numerous Examples

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Macmillan and Company, 1872 - Algebra - 328 pages
 

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Page 25 - 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 34 - 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 126 - В contains 9 gallons of wine and 3 gallons of water; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water t 33.
Page 236 - 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 163 - From (3) we learn that the sum of the roots is equal to the coefficient of the second term with its sign changed.
Page 239 - Quantities are said to be in Arithmetical Progression when they increase or decrease by a common difference. Thus each of the following series forms an Arithmetical Progression : 3, 7, 11, 15, ... 8, 2, -4, -10,...
Page 229 - Dividendo, by division ; when there are four proportionals, and it is inferred, that the excess of the first above the second, is to the second, as the excess of the third above the fourth, is to the fourth.
Page 128 - How long would it take the third man to do it alone ? 30. A can do half as much work as B, B can do half as much as C, and together they can complete a piece of work in 24 days. In what time can each alone complete the work ? 31.
Page 96 - A letter to which a particular value must be given in order that the statement contained in an equation may be true is called an unknown quantity.
Page 75 - To reduce fractions to a common denominator: multiply the numerator of each fraction by -all the denominators except its own for the numerator corresponding to that fraction, and multiply all the denominators together for the common denominator.

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