Common School AlgebraPhillips, Sampson & Company, 1851 |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2d power a² b² a² b³ algebra ALGEBRAIC QUANTITIES B's money bushel cents chaise changing the signs coefficient common denominator cows difference Divide dividend division divisor 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 monomial Multiply number of dollars number of terms numerator and denominator polynomial preceding proportion quotient radical sign ratio reduce remainder represent A's age 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 unknown quantity whole number x2 y³ yard zeros
Δημοφιλή αποσπάσματα
Σελίδα 149 - Place the quotient in the root, at the right of the figure previously found, and also at the right of the divisor. Multiply the divisor, thus increased, by the last figure of the root, and subtract the product from the whole dividend. 4.
Σελίδα 217 - If the product of two quantities is equal to the product of two other quantities, the two factors of one product may be made the means, and the two factors of the other product, the extremes of a proportion.
Σελίδα 71 - the following RULE FOR DIVIDING ONE MONOMIAL BY ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Strike out from the dividend the letters common to it and the divisor, when they have the same exponents in both ; but if the exponents of any letter are different, subtract its exponent in the divisor from its exponent in the dividend,
Σελίδα 195 - found for a divisor, by which divide the first term of the dividend, and place the quotient, with its proper sign, as the second term of the root, also at the right of the divisor. Multiply the divisor, with the term annexed, by the second term of the root, and subtract the product from the dividend. 4. The remainder
Σελίδα 182 - Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is
Σελίδα 94 - RULE FOR MULTIPLYING FRACTIONS BY FRACTIONS. Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator. Remark. As the
Σελίδα 77 - divisor by this term of the quotient, subtract the product from the dividend, and the remainder will form a new dividend. 4. Divide the first term of the new dividend by the first term of the divisor, and the result will form the second term of the quotient ; multiply the
Σελίδα 72 - 3. Divide 4. Divide 5. Divide 6. Divide 7. Divide 8. Divide 9. Divide 10. Divide 11. Divide 12. Divide 13. Divide 14. Divide 15. Divide 16. Divide 17. Divide 18. Divide 19. Divide 20. Divide 21. Divide 22. Divide 23. Divide
Σελίδα 149 - period. 3. To the right of the remainder bring down the next period to form a dividend. Double the root already found for a divisor. Seek how many times the divisor is contained in the dividend,
Σελίδα 217 - the means. Hence, In any proportion, the product of the means is equal to the product of the extremes. (ii).