A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα vii
... common divisor of the two numbers To reduce a whole number to a fraction , having a given denominator • · • To reduce a mixed number to an improper fraction To reduce an improper fraction to a whole or mixed number To reduce a compound ...
... common divisor of the two numbers To reduce a whole number to a fraction , having a given denominator • · • To reduce a mixed number to an improper fraction To reduce an improper fraction to a whole or mixed number To reduce a compound ...
Σελίδα viii
... common denominator To reduce fractions of different denominators to the least common denominator To find the least common multiple of two or more numbers To reduce fractions to the least common denominator Addition of fractions ...
... common denominator To reduce fractions of different denominators to the least common denominator To find the least common multiple of two or more numbers To reduce fractions to the least common denominator Addition of fractions ...
Σελίδα ix
... common denominator 141 Addition of fractions 143 Subtraction of subtractions 145 CHAPTER II . Equations Equations of the first degree Solution of problems producing simple equations Solution of simple equations which involve more than ...
... common denominator 141 Addition of fractions 143 Subtraction of subtractions 145 CHAPTER II . Equations Equations of the first degree Solution of problems producing simple equations Solution of simple equations which involve more than ...
Σελίδα 28
... denominator , the fraction is equal to unity ; for , in this case , the ... common divisor greater than unity : thus , 25 and 32 are prime to each other ... denominator , by the given number . Demonstration of the Rule . Since the ...
... denominator , the fraction is equal to unity ; for , in this case , the ... common divisor greater than unity : thus , 25 and 32 are prime to each other ... denominator , by the given number . Demonstration of the Rule . Since the ...
Σελίδα 35
... common divisor of 24 and 60 ; and by the last di- vision to finding the greatest common divisor of 12 and 24 ; and ... denominator . RULE . ( 28. ) Multiply the whole number by the given denomi- nator , and write the product with the given ...
... common divisor of 24 and 60 ; and by the last di- vision to finding the greatest common divisor of 12 and 24 ; and ... denominator . RULE . ( 28. ) Multiply the whole number by the given denomi- nator , and write the product with the given ...
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2d power a²+2ab+b² a²b² a²x ab² added algebraic quantity Arith arithmetical progression ax² becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division equation evident EXAMPLES exponent expressed Extract the square extracting the root factors Find the greatest Find the sum find the value geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple letters logarithms lowest terms merator mixed number multiplicand Multiply nator nth root number of terms operation orders of units polynomials Prod quan quotient radical ratio remainder required to find result simple fraction square root subtractive terms tens tion tity unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 117 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 178 - 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 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 161 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Σελίδα 132 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
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 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 262 - A and B hired a pasture, into which A put 4 horses, and B as many as cost him 18 shillings a week ; afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired? Ans.
Σελίδα 60 - Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.