Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 5
... Hence the value of the expression = 625-20 + 250 - 75 = 780 . 14. The beginner must also note the distinction in meaning between the sum and the product of two or more algebraical quantities . For instance , ab is the product of the two ...
... Hence the value of the expression = 625-20 + 250 - 75 = 780 . 14. The beginner must also note the distinction in meaning between the sum and the product of two or more algebraical quantities . For instance , ab is the product of the two ...
Σελίδα 7
... Hence all algebraical quantities may be divided into positive quantities and negative quantities , according as they are expressed with the sign + or the sign - ; and this is quite irrespective of any actual process of addition and ...
... Hence all algebraical quantities may be divided into positive quantities and negative quantities , according as they are expressed with the sign + or the sign - ; and this is quite irrespective of any actual process of addition and ...
Σελίδα 9
... Hence also , Similarly , 8 lbs . + 5 lbs . = 13 lbs . Sa + 5a = 13a . 8a + 5a + a + 2a + 6a = 22a . Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum . Example . To find the ...
... Hence also , Similarly , 8 lbs . + 5 lbs . = 13 lbs . Sa + 5a = 13a . 8a + 5a + a + 2a + 6a = 22a . Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum . Example . To find the ...
Σελίδα 11
... Hence we may write the terms of an expression in any order we please . Thus it appears that the expression a - b may be written in the equivalent form - b + a . To illustrate this we may suppose , as in Art . 18 , that a rep- resents a ...
... Hence we may write the terms of an expression in any order we please . Thus it appears that the expression a - b may be written in the equivalent form - b + a . To illustrate this we may suppose , as in Art . 18 , that a rep- resents a ...
Σελίδα 21
... Hence axb = bxa . abc = axbxc = ( a × b ) × c = b × a × c = bac = bx ( axc ) = bxexa = bca . Similarly we can show that the product of three positive integral quantities a , b , c is the same in whatever order the factors are written ...
... Hence axb = bxa . abc = axbxc = ( a × b ) × c = b × a × c = bac = bx ( axc ) = bxexa = bca . Similarly we can show that the product of three positive integral quantities a , b , c is the same in whatever order the factors are written ...
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.