Elementary Algebra for the Use of Preparatory Schools |
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Page vi
Charles Smith. tive integral exponents is demonstrated by elementary methods in the chapter on powers and roots , the chapter on surds has been enlarged by a short discussion of com- plex numbers , the chapter on exponentials and ...
Charles Smith. tive integral exponents is demonstrated by elementary methods in the chapter on powers and roots , the chapter on surds has been enlarged by a short discussion of com- plex numbers , the chapter on exponentials and ...
Page 21
... power of that factor . Thus aa is called the second power of LANGUAGE OF ALGEBRA . 126 DEFINITIONS .
... power of that factor . Thus aa is called the second power of LANGUAGE OF ALGEBRA . 126 DEFINITIONS .
Page 22
... power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and aaa ; they are called respectively the square and the cube of a . 19. Instead of writing ...
... power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and aaa ; they are called respectively the square and the cube of a . 19. Instead of writing ...
Page 24
... power in both , they are called like terms . Thus 3 ab2x3 and 7 ab2x3 are like terms ; but although 3 a2bx3 and 7 a2b2x3 contain the same letters , they are not like terms , for all the letters are not raised to the same power . 25. A ...
... power in both , they are called like terms . Thus 3 ab2x3 and 7 ab2x3 are like terms ; but although 3 a2bx3 and 7 a2b2x3 contain the same letters , they are not like terms , for all the letters are not raised to the same power . 25. A ...
Page 50
... powers of the same letter is equal to the sum of the indices of the factors . We can prove in the following manner that the above is true whenever the indices are positive integers : Since , by definition , and am aaaa ... tom factors ...
... powers of the same letter is equal to the sum of the indices of the factors . We can prove in the following manner that the above is true whenever the indices are positive integers : Since , by definition , and am aaaa ... tom factors ...
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7th term a²b a²b² a²x a²x² a³b ab² ab³ absolutely convergent algebraical expression arithmetic means ax² b₁ binomial theorem cents CHAPTER coefficients contain continued fraction convergent denote determinant difference digits Divide dividend division divisor equal equation x² example Find the factors Find the H. C. F. Find the number Find the square Find the sum Find the value finite formula geometrical progression given expression greater Hence indeterminate forms integer less letters limit logarithms monomial Multiply negative nth root number of terms obtain permutations positive integer powers Prove quadratic equation quotient remainder result Show Simplify simultaneous equations Solve the equation square root subtract surds unknown quantities x²y x²y² xy² xy³ zero
Popular passages
Page 46 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 362 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 349 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 77 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 362 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".