A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 113
... rule for multiplication . For the division of monomials , we have then the fol- lowing RULE . Divide the coefficient of the dividend by the coefficient of the divisor ... dividend and divisor . Letters found only in the dividend , are to be ...
... rule for multiplication . For the division of monomials , we have then the fol- lowing RULE . Divide the coefficient of the dividend by the coefficient of the divisor ... dividend and divisor . Letters found only in the dividend , are to be ...
Σελίδα 114
... Divide 66a3b2c by 6ab2c . * 3. Divide 117a2x2 by 39ax . 4. Divide 75a b c d ... dividend , or when the expo- nent of any letter of the divisor is greater ... RULE . Reduce the fractional coefficient to its lowest terms , and take the ...
... Divide 66a3b2c by 6ab2c . * 3. Divide 117a2x2 by 39ax . 4. Divide 75a b c d ... dividend , or when the expo- nent of any letter of the divisor is greater ... RULE . Reduce the fractional coefficient to its lowest terms , and take the ...
Σελίδα 189
Silas Totten. RULE . Raise the coefficient of the given quantity to the re- quired power , and multiply the exponents ... dividend , in order to arrive at the quotient . Thus , a3 a gives a2 for a a3a quotient . If it were required to divide ...
Silas Totten. RULE . Raise the coefficient of the given quantity to the re- quired power , and multiply the exponents ... dividend , in order to arrive at the quotient . Thus , a3 a gives a2 for a a3a quotient . If it were required to divide ...
Σελίδα 236
... DIVISION OF RADICALS . RULE . ( 60. ) Reduce the radicals to a common index ; then di- vide ... coefficient of the dividend must be divided by that of the divisor . 3 EXAMPLES . 1. Divide av4a3b by bv2ab . 3 236 ALGEBRA . Division of ...
... DIVISION OF RADICALS . RULE . ( 60. ) Reduce the radicals to a common index ; then di- vide ... coefficient of the dividend must be divided by that of the divisor . 3 EXAMPLES . 1. Divide av4a3b by bv2ab . 3 236 ALGEBRA . Division of ...
Σελίδα 241
... DIVISION OF QUANTITIES HAVING FRACTIONAL EXPO- NENTS . RULE . ( 66. ) Divide the coefficient of the dividend by the coeffi- cient of the divisor , and subtract the exponents of the same letter . Thus , + = a3 - + = a + . For , 3 and , 6 ...
... DIVISION OF QUANTITIES HAVING FRACTIONAL EXPO- NENTS . RULE . ( 66. ) Divide the coefficient of the dividend by the coeffi- cient of the divisor , and subtract the exponents of the same letter . Thus , + = a3 - + = a + . For , 3 and , 6 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x a²x² added additive terms algebraic quantities Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained cube root dividend division dollars equa evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letter logarithms lowest terms merator mixed quantity monomial multiplicand nth root number of terms obtain polynomial Prod proportion quan quotient ratio remainder required to find result RULE simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 184 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Σελίδα 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Σελίδα 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.