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... MULTIPLICATION VI . DIVISION · VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII ...
... MULTIPLICATION VI . DIVISION · VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ELEMENTARY RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII ...
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... MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER EQUATIONS . 139 146 XXIV ...
... MULTIPLICATION AND DIVISION OF FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER EQUATIONS . 139 146 XXIV ...
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... multiplied together the result is called the product . One important difference between the notation of Arithmetic and Algebra should be here remarked . In Arithmetic the product of 2 and 3 is written 2 × 3 , whereas in Algebra the ...
... multiplied together the result is called the product . One important difference between the notation of Arithmetic and Algebra should be here remarked . In Arithmetic the product of 2 and 3 is written 2 × 3 , whereas in Algebra the ...
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... multiplication the order in which the factors of a product are written is immaterial . For instance 3 × 4 means 4 sets of 3 units , and 4 × 3 means 3 sets of 4 units ; in each case we have 12 units in all . Thus In a similar way , 3 x4 ...
... multiplication the order in which the factors of a product are written is immaterial . For instance 3 × 4 means 4 sets of 3 units , and 4 × 3 means 3 sets of 4 units ; in each case we have 12 units in all . Thus In a similar way , 3 x4 ...
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... multiplied together a notation similar to that of Art . 7 is adopted . Thus aabbbbcddd is written a2bcd3 . And conversely 7a3cd has the same meaning as 7 xaxaxax cxdxd . Example 1. If c = 3 , d = 5 , find the value of 16c1d3 . Here Note ...
... multiplied together a notation similar to that of Art . 7 is adopted . Thus aabbbbcddd is written a2bcd3 . And conversely 7a3cd has the same meaning as 7 xaxaxax cxdxd . Example 1. If c = 3 , d = 5 , find the value of 16c1d3 . Here Note ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.