College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página 19
... Similarly , the sum of b numbers each equal to a is the product of a by b , and is written a b or ab or simply ab . · Multiplication is the operation by which the product of a by b is found when a and b are known . Thus multiplication ...
... Similarly , the sum of b numbers each equal to a is the product of a by b , and is written a b or ab or simply ab . · Multiplication is the operation by which the product of a by b is found when a and b are known . Thus multiplication ...
Página 21
... Similarly , the product a · α · a ・ a a is written a " , where the exponent 5 shows that a has been used five times as a factor . The exponent of a number is a number written to the right and above it , to indicate the number of times ...
... Similarly , the product a · α · a ・ a a is written a " , where the exponent 5 shows that a has been used five times as a factor . The exponent of a number is a number written to the right and above it , to indicate the number of times ...
Página 22
... Similarly , a2 a3 · a a2 + 3. a5 · = = a2 + 3 + 5 = a10 ( by the index law for the product of two powers of a ) . a1 · am · an = al + m an = a1 + m + n • By means of the laws of indices and of multiplication we can simplify products as ...
... Similarly , a2 a3 · a a2 + 3. a5 · = = a2 + 3 + 5 = a10 ( by the index law for the product of two powers of a ) . a1 · am · an = al + m an = a1 + m + n • By means of the laws of indices and of multiplication we can simplify products as ...
Página 24
... Similarly , the product of 9 ab'cmd " by 13 akb3cPdr is 9 ab'cmd " × 13 ab3cod TM — 9 · 13 · a · a2b1b3ç3çod " dr = 117 ak + 1bl + 3cm + pdn + r ̧ The coefficient 55 of the resulting product 55a3 is the product of the two coefficients 5 ...
... Similarly , the product of 9 ab'cmd " by 13 akb3cPdr is 9 ab'cmd " × 13 ab3cod TM — 9 · 13 · a · a2b1b3ç3çod " dr = 117 ak + 1bl + 3cm + pdn + r ̧ The coefficient 55 of the resulting product 55a3 is the product of the two coefficients 5 ...
Página 42
... Similarly b - b - c- c . or in general a - ab - b = c = cc , etc. That is , a a is independent of the value of a , and may be represented by any symbol unrelated to a . The symbol which mathematicians have given this number is 0 ...
... Similarly b - b - c- c . or in general a - ab - b = c = cc , etc. That is , a a is independent of the value of a , and may be represented by any symbol unrelated to a . The symbol which mathematicians have given this number is 0 ...
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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.