Algebra for Beginners

Εξώφυλλο
Thompson, Brown, and Company, 1894 - 128 σελίδες
 

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Δημοφιλή αποσπάσματα

Σελίδα 69 - 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.
Σελίδα 74 - ... the square of the second. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 106 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 80 - Omitting the term that is equal to twice the product of the square roots of the other tico, connect the square roots of the other two by the sign of the term omitted.
Σελίδα 102 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.
Σελίδα 69 - Ixy -\-f) a; = z2 — 2 a? y + xf is subtracted from the dividend, the remainder must be the product of the divisor and the remaining terms of the quotient ; therefore we treat the remainder as a new dividend, and so continue until the dividend is exhausted. Hence, for the division of polynomials we have the following RULE. Arrange the divisor and dividend in the order of (he powers of one of the letters.
Σελίδα 118 - The Present Worth of a debt, payable at a future time without interest, is such a sum as, being put at legal interest, will amount to the given debt when it becomes due.
Σελίδα 102 - Multiplying or dividing both numerator and denominator by the same number does not change the value of the fraction.
Σελίδα 62 - Similar radicals are multiplied by indicating the root by fractional indices, and, for the product, taking the common number with an index equal to the sum of the indices of the factors. (See 82.) 211. Prob. 2. — To multiply radicals. RULE. — IF THE FACTORS HAVE NOT THE SAME INDEX, REDUCE THEM TO A COMMON INDEX, AND THEN MULTIPLY THE NUMBERS UNDER THE RADICAL SIGN, AND WRITE THE PRODUCT UNDER THE COMMON SIGN. DIVISION. 212. Prop. — The quotient of the same root of two quantities...
Σελίδα 18 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4 miles an hour, and the other at the rate of 5 miles an hour, how far apart will they be at the end of 1 hour ? At the end of 2 hours ? 5 hours?

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