A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iv
... fractions , both vulgar and decimal , is an indispensable prepa- ration for the study of algebra , and the same demonstrations apply both to numerical and algebraic fractions . Having accustomed the pupil to reasoning upon numbers , in ...
... fractions , both vulgar and decimal , is an indispensable prepa- ration for the study of algebra , and the same demonstrations apply both to numerical and algebraic fractions . Having accustomed the pupil to reasoning upon numbers , in ...
Σελίδα vii
... Fractions - Definitions To multiply a fraction by a whole number To divide a fraction by a whole number 27 28 29 To multiply a fraction by a fraction 30 To divide a fraction by a fraction Reduction of fractions 31 66 To reduce a fraction ...
... Fractions - Definitions To multiply a fraction by a whole number To divide a fraction by a whole number 27 28 29 To multiply a fraction by a fraction 30 To divide a fraction by a fraction Reduction of fractions 31 66 To reduce a fraction ...
Σελίδα viii
... fractions to the least common denominator Addition of fractions Subtraction of fractions Continued fractions • • PAGE 40 41 43 66 45 46 47 48 Decimal fractions To reduce a vulgar fraction to a decimal To reduce a decimal to a vulgar ...
... fractions to the least common denominator Addition of fractions Subtraction of fractions Continued fractions • • PAGE 40 41 43 66 45 46 47 48 Decimal fractions To reduce a vulgar fraction to a decimal To reduce a decimal to a vulgar ...
Σελίδα ix
... FRACTIONS . - To reduce fractions to the lowest terms To find the greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To reduce improper fractions to a whole or mixed quantities Multiplication of ...
... FRACTIONS . - To reduce fractions to the lowest terms To find the greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To reduce improper fractions to a whole or mixed quantities Multiplication of ...
Σελίδα 26
... 137272 by 7800 . Divide 236721 by 20000 . Divide 1783426 by 10000 . Divide 1932147 by 2200 . 20000 Ans . 174673 . Ans . 111 . Ans . 178 3426 Ans . 8785 10000 CHAPTER II . FRACTIONS . ( 18. ) A fraction 26 ARITHMETIC .
... 137272 by 7800 . Divide 236721 by 20000 . Divide 1783426 by 10000 . Divide 1932147 by 2200 . 20000 Ans . 174673 . Ans . 111 . Ans . 178 3426 Ans . 8785 10000 CHAPTER II . FRACTIONS . ( 18. ) A fraction 26 ARITHMETIC .
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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.