Secondary AlgebraFisher and Schwatt, 1900 - 397 páginas |
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Página iii
... give the student a working knowledge of the ele- mentary processes of algebra , with a conviction of the truth of principles through illustrations and particular examples . Each principle , or method , is therefore first clearly ...
... give the student a working knowledge of the ele- mentary processes of algebra , with a conviction of the truth of principles through illustrations and particular examples . Each principle , or method , is therefore first clearly ...
Página 22
... gives us the following impor- tant principle : The sum of a positive number and a negative number having the same absolute value is equal to zero ; i.e. , two such numbers cancel each other when united by addition . E.g. , +1 + 1 = 0 ...
... gives us the following impor- tant principle : The sum of a positive number and a negative number having the same absolute value is equal to zero ; i.e. , two such numbers cancel each other when united by addition . E.g. , +1 + 1 = 0 ...
Página 24
... give an aggregate of four plus three , or seven , positive units . That is , In like manner , +4 ++ 3 = + ( 4 + 3 ) = + 7 . Ex . 2. -4 + 3 = ̄ ( 4 + 3 ) = −7 . These examples illustrate the following method of adding two numbers with ...
... give an aggregate of four plus three , or seven , positive units . That is , In like manner , +4 ++ 3 = + ( 4 + 3 ) = + 7 . Ex . 2. -4 + 3 = ̄ ( 4 + 3 ) = −7 . These examples illustrate the following method of adding two numbers with ...
Página 28
... gives an intelligible meaning to arithmetical multiplication when the multiplier is a fraction . Thus , is obtained from the unit , 1 , by taking one - third of the latter twice as a summand ; or } = } + } · In like manner , to multiply ...
... gives an intelligible meaning to arithmetical multiplication when the multiplier is a fraction . Thus , is obtained from the unit , 1 , by taking one - third of the latter twice as a summand ; or } = } + } · In like manner , to multiply ...
Página 30
... give a positive quotient ; unlike signs of dividend and divisor give a negative quotient . +8 ÷ +2 = +4 ; −8 ÷ 2 = + 4 ; E.g. , + 8 ÷ −2 = ̄4 ; −8 ÷ +2 = ̄4 . EXERCISES IV . Divide : 1 . 2 . 3 . 4 . 5 . +4 ) +8 +4 ) -8 -4 ) +8 -4 ...
... give a positive quotient ; unlike signs of dividend and divisor give a negative quotient . +8 ÷ +2 = +4 ; −8 ÷ 2 = + 4 ; E.g. , + 8 ÷ −2 = ̄4 ; −8 ÷ +2 = ̄4 . EXERCISES IV . Divide : 1 . 2 . 3 . 4 . 5 . +4 ) +8 +4 ) -8 -4 ) +8 -4 ...
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Términos y frases comunes
a₁ a²b a²b² ab² ab³ algebraic arithmetical means arithmetical progression ax² binomial cistern coefficient colog complex numbers courier cube root decimal point definition denominator difference digits divided division divisor dollars equivalent examples illustrate EXERCISES expansion exponent feet Find the value following expressions following method gallons geometrical means geometrical progression given equation harmonical mean illustrate the following infinite series integer less Let x stand logarithm mantissa of log monomial multinomial Multiplying negative number number of terms obtained parentheses partial fractions pipe positive integer positive number prime factor principle problem proportion quadratic equation quotient ratio remainder required number resulting number S₁ second term Simplify solution Solve the equation square root Substituting subtracted surd unknown number whence x²y x²y² xy²
Pasajes populares
Página 74 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 216 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Página 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Página 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.
Página 324 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term. See § 1, Art.
Página 227 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Página 62 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Página 179 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
Página 376 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 317 - 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.