A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα vii
... 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 to its lowest terms ... number to a fraction , having a given ...
... 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 to its lowest terms ... number to a fraction , having a given ...
Σελίδα 10
... numbers . ARITHMETIC . NOTATION AND NUMERATION . ( 4. ) It would evidently be impossible to express each num- ber by a separate term , since in that case the number of terms would be infinite . To express the numbers comprehended ...
... numbers . ARITHMETIC . NOTATION AND NUMERATION . ( 4. ) It would evidently be impossible to express each num- ber by a separate term , since in that case the number of terms would be infinite . To express the numbers comprehended ...
Σελίδα 27
... number is called the numerator , and the lower the denominator . They are also called the terms of the fraction . 5 ,,, read , two - thirds , five - eighths , one - fifth , are fractions . The denominator of the fraction denotes the number ...
... number is called the numerator , and the lower the denominator . They are also called the terms of the fraction . 5 ,,, read , two - thirds , five - eighths , one - fifth , are fractions . The denominator of the fraction denotes the number ...
Σελίδα 31
... number as many times too large as the denomi- nator of the divisor contains units ; and it is necessary to mul ... terms of those fractions are unequal ; for example , is equal to ; for the denominator of the first fraction being double that ...
... number as many times too large as the denomi- nator of the divisor contains units ; and it is necessary to mul ... terms of those fractions are unequal ; for example , is equal to ; for the denominator of the first fraction being double that ...
Σελίδα 32
... value . Thus , the fraction , reduced to its lowest terms , is , for its value cannot be expressed by less numbers . To reduce a fraction to its lowest terms . RULE . ( 25 ) Divide the numerator and denominator by any number that will ...
... value . Thus , the fraction , reduced to its lowest terms , is , for its value cannot be expressed by less numbers . To reduce a fraction to its lowest terms . RULE . ( 25 ) Divide the numerator and denominator by any number that will ...
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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.