Elementary Algebra: Second Year CourseMacmillan, 1916 |
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Página 3
... give 2 xy2 — 3x2y + 4 xy ? ORDER OF FUNDAMENTAL OPERATIONS 5. The values of many algebraic expressions depend upon the order in which the operations of addition , subtraction , mul- tiplication , and division are performed . To avoid ...
... give 2 xy2 — 3x2y + 4 xy ? ORDER OF FUNDAMENTAL OPERATIONS 5. The values of many algebraic expressions depend upon the order in which the operations of addition , subtraction , mul- tiplication , and division are performed . To avoid ...
Página 5
... give plus , unlike signs give minus . The degree of a term is the sum of the exponents of the literal factors . Thus 4 xy2z8 is of the sixth degree . An expression is homogeneous , if all its terms are of the same degree . In x + 2x22 ...
... give plus , unlike signs give minus . The degree of a term is the sum of the exponents of the literal factors . Thus 4 xy2z8 is of the sixth degree . An expression is homogeneous , if all its terms are of the same degree . In x + 2x22 ...
Página 6
... give plus , unlike signs give minus . To divide one polynomial by another : I. Arrange the terms . II . Divide the first term of the dividend by the first term of the divisor and obtain the first term in the quotient . III . Multiply ...
... give plus , unlike signs give minus . To divide one polynomial by another : I. Arrange the terms . II . Divide the first term of the dividend by the first term of the divisor and obtain the first term in the quotient . III . Multiply ...
Página 22
... gives 729 , and then take the cube root of 729 , which is 9. Or we may take the cube root of 27 , which is 3 , and square 3 , getting 9 as the result , that is , 273 = √ / 272 = ( † 27 ) 2 . In general , we have , Р a2 = √ a3 = ( √α ) ...
... gives 729 , and then take the cube root of 729 , which is 9. Or we may take the cube root of 27 , which is 3 , and square 3 , getting 9 as the result , that is , 273 = √ / 272 = ( † 27 ) 2 . In general , we have , Р a2 = √ a3 = ( √α ) ...
Página 31
... gives the same digit as 148 ÷ 40 . Point off one decimal place in the root for each period in the decimal . Find the square root of 548.543241 . 548.543241 23.421 4 1st trial divisor , 2 ( 2 ) = 4 1st complete divisor , 43 129 148 1st ...
... gives the same digit as 148 ÷ 40 . Point off one decimal place in the root for each period in the decimal . Find the square root of 548.543241 . 548.543241 23.421 4 1st trial divisor , 2 ( 2 ) = 4 1st complete divisor , 43 129 148 1st ...
Términos y frases comunes
a²b² a²x² ab² addition and subtraction algebra arithmetical arithmetical means arithmetical series ax² binomial BINOMIAL THEOREM called coefficient commutative law complete divisor completing the square Compute cube root decimal places denominator determinants diameter digits distance Divide both sides dividend division Draw a graph exponent Factor Theorem Find the h. c. f. Find the square Find the sum fixed number formula fraction geometrical series given equation Hence imaginary numbers inches linear equations logarithms mantissa negative numbers nth root number of terms obtain parenthesis polynomial positive numbers principal root quadratic equation quotient radius rational integral expression remainder Simplify solution Solve square root Substitute trial divisor triangle Type form Univ variable weight zero
Pasajes populares
Página 6 - 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 85 - In any proportion, the product of the means is equal to the product of the extremes.
Página 39 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 113 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 65 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 5 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 37 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Página 89 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Página 65 - The exponent of b in the second term is 1, and increases by 1 in each succeeding term.
Página 196 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle ? 76.