Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 24
... Commutative Law for Addition . — Algebraic num- ded in any order . Order may be established as follows : 1 arithmetic that arithmetical numbers may be added in any 51 , Prin . 1 , algebraic numbers having like signs are added r common ...
... Commutative Law for Addition . — Algebraic num- ded in any order . Order may be established as follows : 1 arithmetic that arithmetical numbers may be added in any 51 , Prin . 1 , algebraic numbers having like signs are added r common ...
Página 48
... Law of Signs may be expressed as follows : and + a multiplied by + b = ab , - a multiplied by bab , - - a multiplied by + b = ab , - + a multiplied by b == - - ab . 80. It follows from ... Law of Order , or Commutative Law for Multiplication.
... Law of Signs may be expressed as follows : and + a multiplied by + b = ab , - a multiplied by bab , - - a multiplied by + b = ab , - + a multiplied by b == - - ab . 80. It follows from ... Law of Order , or Commutative Law for Multiplication.
Página 49
William James Milne. MULTIPLICATION Law of Order , or Commutative Law for Multiplication . tors of a product may be taken in any order . The Law of Order may be established as follows : - 49 The fac- Since the number of negative factors ...
William James Milne. MULTIPLICATION Law of Order , or Commutative Law for Multiplication . tors of a product may be taken in any order . The Law of Order may be established as follows : - 49 The fac- Since the number of negative factors ...
Página 72
... Law of Signs . The sign of the quotient is + when the dividend and divisor have like signs , and when they have unlike signs . · - 2. Law of Coefficients . The coefficient of the quotient is equal to the ... Commutative Law for division is.
... Law of Signs . The sign of the quotient is + when the dividend and divisor have like signs , and when they have unlike signs . · - 2. Law of Coefficients . The coefficient of the quotient is equal to the ... Commutative Law for division is.
Página 73
William James Milne. = a ÷ c The Commutative Law for division is expressed α a ( 2 ) may be written + c = 2 + b с ÷ b ... Law may be establish By the Commutative Law just proved , ax b ÷ c = b ÷ c by notation , § 29 , by the Commutative ...
William James Milne. = a ÷ c The Commutative Law for division is expressed α a ( 2 ) may be written + c = 2 + b с ÷ b ... Law may be establish By the Commutative Law just proved , ax b ÷ c = b ÷ c by notation , § 29 , by the Commutative ...
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Términos y frases comunes
a²b a²x² ab² ACAD ACADEMIC ALGEBRA added algebraic sum arithmetical means arithmetical progression ax² binomial bushels cents coefficient Commutative Law complete divisor contain cube root denominator difference digits divided dividend dollars equivalent established as follows EXAMPLES exponent expression factors Find the value fraction geometrical progression given equation Hence highest common divisor inequality integer less letters limit logarithm lowest common multiple mantissa miles an hour monomial multiplied negative number number of permutations polynomial positive integer positive number pounds PRINCIPLE PROCESS proportion quadratic quadratic equation quotient radical ratio Reduce remainder result second term SIMPLE EQUATIONS SOLUTION square root subtracted surd third Transposing trial divisor twice unknown numbers variable x²y x²y² xy²
Pasajes populares
Página 124 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 66 - 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.
Página 389 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Página 33 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 398 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 200 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 218 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 396 - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor.
Página 53 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.
Página 420 - To find the number of permutations of n different things taken r at a time.