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... QUANTITIES . ADDITION OF LIKE TERMS SIMPLE BRACKETS . ADDITION . 1 • 7 11 IV . SUBTRACTION · 16 · MISCELLANEOUS EXAMPLES I. 19 • · V. MULTIPLICATION 21 VI . DIVISION 31 VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II ...
... QUANTITIES . ADDITION OF LIKE TERMS SIMPLE BRACKETS . ADDITION . 1 • 7 11 IV . SUBTRACTION · 16 · MISCELLANEOUS EXAMPLES I. 19 • · V. MULTIPLICATION 21 VI . DIVISION 31 VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II ...
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... quantities as in Arithmetic , but with greater generality ; for while the quantities used in arithmetical processes are denoted by figures which have one single definite value , algebraical quantities are denoted by symbols which may ...
... quantities as in Arithmetic , but with greater generality ; for while the quantities used in arithmetical processes are denoted by figures which have one single definite value , algebraical quantities are denoted by symbols which may ...
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... quantities are 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 ...
... quantities are 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 ...
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... quantities . In like manner in Algebra ab and ba each denote the product of the two quantities represented by the letters a and b , and have therefore the same value . Again , the expressions abc , acb , bac , bca , cab , cba have the ...
... quantities . In like manner in Algebra ab and ba each denote the product of the two quantities represented by the letters a and b , and have therefore the same value . Again , the expressions abc , acb , bac , bca , cab , cba have the ...
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... quantities are 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 xaxaxaxcxdxd . Example 1. If c = 3 , d = 5 , find the value of ...
... quantities are 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 xaxaxaxcxdxd . Example 1. If c = 3 , d = 5 , find the value of ...
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Common terms and phrases
A's age a²+b² acres algebraical sum Arithmetic arranged B's age beginner binomial cents CHAPTER coefficient Completing the square compound expressions contains convenient descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII 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 Simplify simultaneous equations Solve the equations square root subtract Transposing trinomial unknown quantities walk whence write yards
Popular passages
Page 160 - An equation which contains the square of the unknown quantity, but no higher power, is called a quadratic equation, or an equation of the second degree. If the equation contains both the square and the first power of the unknown, it is called...
Page 188 - Elementary Trigonometry" etc Edited mi*l Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math. Deft., Bryn Mauir College, Pa. 1 6mo. Cloth. 75 cents. " Evidently the work of a thoroughly good teacher. The elementary truth, that arithmetic is common sense, is the principle which pervades the whole book, and no process, however simple, is deemed unworthy of clear explanation. Where it seems advantageous, a rule is given after the explanation. . . . Mr. Lock's admirable Trigonometry...
Page 105 - 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 - 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 87 - 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 89 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.