Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 8
... signs into account , we see that -30 is a distance from the starting point equal in magnitude but opposite in ... Rule I. The sum of a number of like terms is a like term . Rule II . If all the terms are positive , add the coefficients ...
... signs into account , we see that -30 is a distance from the starting point equal in magnitude but opposite in ... Rule I. The sum of a number of like terms is a like term . Rule II . If all the terms are positive , add the coefficients ...
Σελίδα 9
... Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum ... signs + and the resulting expression is called their algebraical sum . Thus 11a - 27a + 13a = 3a states that the algebraical ...
... Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum ... signs + and the resulting expression is called their algebraical sum . Thus 11a - 27a + 13a = 3a states that the algebraical ...
Σελίδα 17
... signs of all the terms in the lower line being changed . by addition , 4a - 3b + 5c -3a + 2b + c a- b + 6c The like terms are written in the same vertical column , and each column is treated separately . Rule . Change the sign of every ...
... signs of all the terms in the lower line being changed . by addition , 4a - 3b + 5c -3a + 2b + c a- b + 6c The like terms are written in the same vertical column , and each column is treated separately . Rule . Change the sign of every ...
Σελίδα 23
... Rule of Signs in multiplication . Rule of Signs . The product of two terms with like signs is positive ; the product of two terms with unlike signs is negative . 40. The rule of signs , and especially the use v.1 23 MULTIPLICATION .
... Rule of Signs in multiplication . Rule of Signs . The product of two terms with like signs is positive ; the product of two terms with unlike signs is negative . 40. The rule of signs , and especially the use v.1 23 MULTIPLICATION .
Σελίδα 24
... rule of signs the product is negative ; also 4a × 3b = 12ab ; .. 4a × ( -3b ) = −12ab . Example 2. Multiply -5ab3x by -al3x . Here the absolute value of the product is 5a2x2 , and by the rule of signs the product is positive ...
... rule of signs the product is negative ; also 4a × 3b = 12ab ; .. 4a × ( -3b ) = −12ab . Example 2. Multiply -5ab3x by -al3x . Here the absolute value of the product is 5a2x2 , and by the rule of signs the product is positive ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.