Algebra for Beginners: With Numerous Examples

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Macmillan and Company, 1872 - 328 σελίδες

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Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 163 - From (3) we learn that the sum of the roots is equal to the coefficient of the second term with its sign changed.
Σελίδα 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,...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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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