Algebra for Beginners |
From inside the book
Results 1-5 of 33
Page
... QUANTITIES . ADDITION OF LIKE TERMS III . SIMPLE BRACKETS . ADDITION . IV . SUBTRACTION MISCELLANEOUS EXAMPLES I. V. MULTIPLICATION VI . DIVISION · VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ...
... QUANTITIES . ADDITION OF LIKE TERMS III . SIMPLE BRACKETS . ADDITION . IV . SUBTRACTION MISCELLANEOUS EXAMPLES I. V. MULTIPLICATION VI . DIVISION · VII . REMOVAL AND INSERTION OF BRACKETS MISCELLANEOUS EXAMPLES II . VIII . REVISION OF ...
Page 1
... 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 ...
Page 2
... 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 ...
Page 3
... 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 ...
Page 4
... 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 xaxaxax cxdxd . 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 xaxaxax cxdxd . Example 1. If c = 3 , d = 5 , find the value of ...
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.