An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1829 - 276 σελίδες |
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Σελίδα 69
... multiplicand and multiplier . In the last example a is three times a factor in the one quantity , and twice in the other ; hence it will be five times a factor in the product . The exponents show how many times a letter is a factor in ...
... multiplicand and multiplier . In the last example a is three times a factor in the one quantity , and twice in the other ; hence it will be five times a factor in the product . The exponents show how many times a letter is a factor in ...
Σελίδα 74
... 13 b3 c2 d 7 a2 b3 c . 2 abd + 3ab x2 + a b x2 . 3 abx . ax2 + 3 ab x2 by 13 a b3 3 ·· When some of the terms of the multiplicand have the sign they must retain the same sign in the product . 7. 8. Multiply a a - b - -b by 74 XIIL Algebra .
... 13 b3 c2 d 7 a2 b3 c . 2 abd + 3ab x2 + a b x2 . 3 abx . ax2 + 3 ab x2 by 13 a b3 3 ·· When some of the terms of the multiplicand have the sign they must retain the same sign in the product . 7. 8. Multiply a a - b - -b by 74 XIIL Algebra .
Σελίδα 75
... multiplicand and multiplier consist of several terms , each term of the multiplicand must be multiplied by each term of the multiplier . 14. Multiply • 12+ 5 12 + 5 = 17 7 + 4 = 11 84 +35 +48 +20 843548 +20 187 by 7 + 4 . 15. Multiply a ...
... multiplicand and multiplier consist of several terms , each term of the multiplicand must be multiplied by each term of the multiplier . 14. Multiply • 12+ 5 12 + 5 = 17 7 + 4 = 11 84 +35 +48 +20 843548 +20 187 by 7 + 4 . 15. Multiply a ...
Σελίδα 76
... result may be proved by multiplying the multiplier by the multiplicand , for the product must be the same in both cases . 23. Multiply 2ad + 3bc + 2 by 4ab - 2 c . 24. Multiply 6 ab + 2ab by 2ab - b2 76 XIII . Algebra .
... result may be proved by multiplying the multiplier by the multiplicand , for the product must be the same in both cases . 23. Multiply 2ad + 3bc + 2 by 4ab - 2 c . 24. Multiply 6 ab + 2ab by 2ab - b2 76 XIII . Algebra .
Σελίδα 77
... multiplicand by each term of the multiplier , observing the same rules for the coefficients and letters as in simple quantities . 2. With respect to the signs observe , 1st , That if both the terms which are multiplied together , have ...
... multiplicand by each term of the multiplier , observing the same rules for the coefficients and letters as in simple quantities . 2. With respect to the signs observe , 1st , That if both the terms which are multiplied together , have ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power A's share a² b² a² b³ added algebra algebraic quantities apples approximate root arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
Σελίδα 101 - 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 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 44 - A and B have the same income; A saves £ of his ; but B, by spending $ 30...
Σελίδα 271 - The same sum put out at the same rate for 15 months amounts to 792.1875. Required the sum and the rate per cent. 25. From two casks of equal size are drawn quantities which are in the proportion of 5 to 8 ; and it appears that if 20...
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 174 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 274 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.