A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα vii
... fraction by a whole number To divide a fraction by a whole number To multiply a fraction by a fraction To divide a fraction by a fraction Reduction of fractions • To reduce a fraction to its lowest terms 27 28 29 · 30 31 66 32 33 35 36 ...
... fraction by a whole number To divide a fraction by a whole number To multiply a fraction by a fraction To divide a fraction by a fraction Reduction of fractions • To reduce a fraction to its lowest terms 27 28 29 · 30 31 66 32 33 35 36 ...
Σελίδα ix
... terms of an algebraic expression to a single term Addition of algebraic quantities Subtraction of algebraic ... lowest terms To find the greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To ...
... terms of an algebraic expression to a single term Addition of algebraic quantities Subtraction of algebraic ... lowest terms To find the greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To ...
Σελίδα x
... reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent radicals having a common index 233 Addition and subtraction of radicals 234 Multiplication of radicals 235 Division of radicals 236 ...
... reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent radicals having a common index 233 Addition and subtraction of radicals 234 Multiplication of radicals 235 Division of radicals 236 ...
Σελίδα 32
... lowest terms when , the value remaining the same , its numerator and denominator are the least numbers that will express that value . Thus , the fraction , reduced to its lowest terms , is , for its ... reduce a fraction to its lowest terms.
... lowest terms when , the value remaining the same , its numerator and denominator are the least numbers that will express that value . Thus , the fraction , reduced to its lowest terms , is , for its ... reduce a fraction to its lowest terms.
Σελίδα 33
Silas Totten. 2. Reduce to its lowest terms . 3 . ( 5. ) ( 3. ) ( 13. ) 195 780 = 39 156 = Reduce 136 to its lowest terms . 204 4. Reduce 525 to its lowest terms . 630 31 52 5. Reduce 23 to its lowest terms . RULE II . the answer . Ans ...
Silas Totten. 2. Reduce to its lowest terms . 3 . ( 5. ) ( 3. ) ( 13. ) 195 780 = 39 156 = Reduce 136 to its lowest terms . 204 4. Reduce 525 to its lowest terms . 630 31 52 5. Reduce 23 to its lowest terms . RULE II . the answer . Ans ...
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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.