Common School AlgebraPhillips Sampson & Company, 1855 - 238 σελίδες |
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Σελίδα 83
... unit is divided into n equal parts , and that m of those parts are taken ; or it expresses division , and signifies that m is divided into n equal parts . 1. How much is 3 times ? Ans . . 2. How much is 5 times 3. How much is c times 4 ...
... unit is divided into n equal parts , and that m of those parts are taken ; or it expresses division , and signifies that m is divided into n equal parts . 1. How much is 3 times ? Ans . . 2. How much is 5 times 3. How much is c times 4 ...
Σελίδα 92
... units in the exponent of the power . Thus , x2 + 2xy + y2 = ( x + y ) 2 = ( x + y ) ( x + y ) ; and x3 + 3x2y + 3 x y2 + y3 = ( x + y ) 3 = ( x + y ) ( x + y ) ( x + y ) . 2. The difference between the second powers of two quantities ...
... units in the exponent of the power . Thus , x2 + 2xy + y2 = ( x + y ) 2 = ( x + y ) ( x + y ) ; and x3 + 3x2y + 3 x y2 + y3 = ( x + y ) 3 = ( x + y ) ( x + y ) ( x + y ) . 2. The difference between the second powers of two quantities ...
Σελίδα 103
... units there are 5 a fifths , is contained 5 a times in a , and is contained as many times , that is ,. 5 a times ; in $ 21 . ] 103 DIVISION BY FRACTIONS . Division of integral and fractional quantities by frac- tions,
... units there are 5 a fifths , is contained 5 a times in a , and is contained as many times , that is ,. 5 a times ; in $ 21 . ] 103 DIVISION BY FRACTIONS . Division of integral and fractional quantities by frac- tions,
Σελίδα 104
... units there are is con- n n as many m m na n gives for m tained na times in a , and is contained na m m 22 times , that is , times ; or a divided by a quotient . This is the same as a . n m How many times is contained in ? Reducing the ...
... units there are is con- n n as many m m na n gives for m tained na times in a , and is contained na m m 22 times , that is , times ; or a divided by a quotient . This is the same as a . n m How many times is contained in ? Reducing the ...
Σελίδα 144
... units , plus the second power of the units . Let us now , by a reverse operation , deduce the root from the power . Operation . 5/29 ( 23. Root . 4 129 ( 4 . Divisor . Since the number contains hundreds , its root must necessarily ...
... units , plus the second power of the units . Let us now , by a reverse operation , deduce the root from the power . Operation . 5/29 ( 23. Root . 4 129 ( 4 . Divisor . Since the number contains hundreds , its root must necessarily ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2d power a² b³ algebra ALGEBRAIC QUANTITIES B's age B's money barrel bushel cents chaise changing the signs coefficient common denominator corn cows difference Divide dividend division divisor equal equation example expressions extract the root factors figures Find the 2d following RULE formula fractional exponents geometrical progression gives greater Hence horse integral quantity irrational quantities least common multiple less Let the learner Let x represent letter manner merator miles monomial Multiply number of dollars number of terms numerator and denominator polynomial preceding proportion quotient radical sign ratio reduce remainder represent the number represent the price Required the age Required the number Required the price result second member second power second root separate sheep Substitute subtract tens third power third root transpose twice unknown quantity whole number yard zeros
Δημοφιλή αποσπάσματα
Σελίδα 196 - 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 94 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Σελίδα 71 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Σελίδα 221 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Σελίδα 195 - Multiply the divisor, with the term last annexed, by the last term of the root, and subtract the product from the last dividend.
Σελίδα 145 - There will be as many figures in the root as there are periods in the given number.
Σελίδα 217 - That is, in any proportion either extreme is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean.
Σελίδα 2 - Algebraic operations are based upon definitions and the following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal....
Σελίδα 3 - If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.
Σελίδα 191 - THE ROOT OF ANY MONOMIAL. Extract the root of the numerical coefficient, and divide the exponent of each literal factor by the number which marks the degree of the root. The roason for this rule is manifest, since extracting a root is the reverse of finding a power.