A High School Algebra, Parte2D. Appleton and Company, 1914 |
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Página 1
... example , the number of books on a shelf ) is found by counting . Such numbers are called whole numbers or integers ; also primitive or absolute numbers . In arithmetic , numbers are usually represented by means of the numerals , 0 , 1 ...
... example , the number of books on a shelf ) is found by counting . Such numbers are called whole numbers or integers ; also primitive or absolute numbers . In arithmetic , numbers are usually represented by means of the numerals , 0 , 1 ...
Página 2
... example , the number of books is the same whether those on the first shelf be placed on the second , or those on the second be placed on the first . In symbols : a + b = b + a . This fact is called the commutative law of addition . The ...
... example , the number of books is the same whether those on the first shelf be placed on the second , or those on the second be placed on the first . In symbols : a + b = b + a . This fact is called the commutative law of addition . The ...
Página 4
... example , in ab , we do not know whether a is larger than b or not . But it is desirable that such expressions ... ( Examples , see Chap . IV , Pt . I. ) 17. A number to be added is offset by an 4 A HIGH SCHOOL ALGEBRA.
... example , in ab , we do not know whether a is larger than b or not . But it is desirable that such expressions ... ( Examples , see Chap . IV , Pt . I. ) 17. A number to be added is offset by an 4 A HIGH SCHOOL ALGEBRA.
Página 12
... example : ( — b ) a = a ( − b ) . Since baab , by the Commutative Law for absolute integers , and by Sec . 30 , ( —b ) a = - - ba = - ab = a ( -b ) . It may be shown that the Associative and the Distributive Laws also hold . ORAL ...
... example : ( — b ) a = a ( − b ) . Since baab , by the Commutative Law for absolute integers , and by Sec . 30 , ( —b ) a = - - ba = - ab = a ( -b ) . It may be shown that the Associative and the Distributive Laws also hold . ORAL ...
Página 19
... EXAMPLE Let a = b . ( 1 ) Multiplying both members by a , Subtracting ba from both members , Factoring , a2 = ab . ( 2 ) a2 — b2 = ab — b2 ( 3 ) Dividing both members by a - b , Substituting the value of a from ( 1 ) , ( a + b ) ( a - b ) ...
... EXAMPLE Let a = b . ( 1 ) Multiplying both members by a , Subtracting ba from both members , Factoring , a2 = ab . ( 2 ) a2 — b2 = ab — b2 ( 3 ) Dividing both members by a - b , Substituting the value of a from ( 1 ) , ( a + b ) ( a - b ) ...
Otras ediciones - Ver todas
A High School Algebra, Part 1 Lambert Lincoln Jackson,Jacob William Albert Young Sin vista previa disponible - 2018 |
A High School Algebra, Part 1 Lambert Lincoln Jackson,Jacob William Albert Young Sin vista previa disponible - 2022 |
A High School Algebra, Parte1 Lambert Lincoln Jackson,Jacob William Albert Young Sin vista previa disponible - 2017 |
Términos y frases comunes
added algebra altitude angle applied arithmetical mean arithmetical series ax² base binomial binomial expansion called Chapter coefficients Commutative Law complex number cube root cubic equation decimal denominator denotes digits divided division divisor equal example expression factors Find the number Find the sum formula fractional exponents geometric mean geometric progression geometric series given graph Hence integers inversely laws of exponents logarithm mantissa method multiply negative exponents negative number number system ORAL EXERCISES polynomial problem proportion quadratic equation quotient r₁ r₂ radius rectangle relative numbers result satisfy side of length Similarly solution square root Substituting subtract symbol TEST triangle trinomial units unknown values varies WRITTEN EXERCISES Find WRITTEN EXERCISES Solve x-axis x²y zero
Pasajes populares
Página 164 - ... 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".
Página 166 - The time of oscillation of a pendulum varies directly as the square root of its length. What is the length of a pendulum which makes an oscillation in 5 sec., a 2-second pendulum being 156.8 in.
Página 165 - It has been found by experiment that the weight of a body varies inversely as the square of its distance from the center of the earth. If...
Página 44 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Página 212 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Página 179 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term.
Página 157 - In any proportion, the product of the means equals the product of the extremes.
Página 97 - The logarithm of a number with an exponent is the product of the exponent and the logarithm of the number.
Página 137 - Therefore, since a, ß are the roots of x2 + bx /a + c /a = 0, we have the theorem : In any quadratic of the form x2 + px + q = 0 the coefficient of x with its sign changed is equal to the sum of the roots, and the constant term is equal to the product of the roots. Thus, in the quadratic 6x2...
Página 164 - Given that the area of a circle varies as the square of its radius...