College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página 11
... contain as many individuals after any such change as it did before the change was made . The notion of number is based upon this property of the separate- ness of the things in a group , and is defined as that property of a group of ...
... contain as many individuals after any such change as it did before the change was made . The notion of number is based upon this property of the separate- ness of the things in a group , and is defined as that property of a group of ...
Página 19
... contains the same things as the individual groups combined , and therefore the number of things in it will be the same , whatever be the order of combination in which the different groups are brought together . ( See Law of Arith- metic ...
... contains the same things as the individual groups combined , and therefore the number of things in it will be the same , whatever be the order of combination in which the different groups are brought together . ( See Law of Arith- metic ...
Página 20
... containing 7 marks each ; so that if the same group of marks be arranged by columns instead of rows , the sum becomes that of 5 numbers of 7 marks each , or 7 • 5 . In general , the things of a group which correspond to the sum of b ...
... containing 7 marks each ; so that if the same group of marks be arranged by columns instead of rows , the sum becomes that of 5 numbers of 7 marks each , or 7 • 5 . In general , the things of a group which correspond to the sum of b ...
Página 36
... contains as many unit lengths as there are units in the product n2x2 . The number - 5 n2x2 then would be represented by the distance Oe , where Oa , etc. , are each equal to n2x2 . Similar- ly , any monomial may be regarded as a number ...
... contains as many unit lengths as there are units in the product n2x2 . The number - 5 n2x2 then would be represented by the distance Oe , where Oa , etc. , are each equal to n2x2 . Similar- ly , any monomial may be regarded as a number ...
Página 38
... contains still other kinds besides those already described . III . - The student should be careful to keep in mind the fact that the symbols and - , when used to represent an indicated addition and sub- traction , are symbols of two ...
... contains still other kinds besides those already described . III . - The student should be careful to keep in mind the fact that the symbols and - , when used to represent an indicated addition and sub- traction , are symbols of two ...
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Términos y frases comunes
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Pasajes populares
Página 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Página 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.