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Este breve documento no contiene información sustancial para resumir en 3 oraciones o menos.
Recomendados
Hola
El documento es muy breve y solo contiene la frase "hola Presentación de prueba". En pocas palabras, parece ser una prueba o saludo en español sin más detalles o información adicional.
Presentacion De Prueba
La presentación de prueba es un documento legal que describe los hechos y argumentos relevantes de un caso. Presenta la posición de una parte y busca demostrar que sus alegaciones son válidas.
Prueba ppt
Este breve documento no contiene información sustancial para resumir en 3 oraciones o menos.
Math Benchmark
1) A negative exponent means to divide the number by itself that many times.
2) For a single number with a negative exponent, write the number as a fraction with the number in the denominator and 1 in the numerator.
3) The pattern shown finds that the value of 1/2 raised to a negative exponent n is equal to 2 to the n power.
Product and Quotient Rule Show
This document discusses rules for finding derivatives of products and quotients using the product rule and quotient rule. It provides examples of applying these rules to functions like f(x)=(x3)(x+x2) and f(x)=(4x2+5)/(x5). It notes that in some cases, it may be easier to first distribute and simplify the expression before finding the derivative.
AA Section 7-2/7-3
The document provides examples and definitions for properties and operations involving exponents. It defines properties like the product of powers, power of a power, quotient of powers, and zero exponents. It also defines negative integer exponents and provides examples of simplifying expressions using the definition that a^-n = 1/an.
FRCC MAT050 Negative Exponents II (Sect 3.5)
This document provides homework assignments on negative exponents including practice problems from the textbook, group work, and online exercises. Students are asked to complete practice problems from their textbook, work through additional problems together in a group, and finish by doing assignments online and in their textbook.
125 2.4
This document discusses rules for taking derivatives of products and quotients. It introduces the product rule for derivatives of terms multiplied together, and the quotient rule for derivatives of terms divided by each other. It notes that while the power rule is easiest, these other rules provide shortcuts when the power rule cannot be used. An example problem uses both the product and quotient rules together to take the derivative.
Review of multiplying polynomials
This document reviews three methods for multiplying polynomials: the distributive property, FOIL method, and box method. It provides examples of multiplying binomials like (2x + 3)(5x + 8) and (y + 4)(y - 3) using each method. The key steps of each method are defined, including the FOIL acronym for the order of multiplying terms in binomials.
Tutorials: Linear Functions in Tabular and Graph Form
This document provides 21 examples of linear functions presented as both tables and graphs. Each example shows a linear function in slope-intercept form with different characteristics for the slope and y-intercept, such as positive and negative slopes greater than, less than, and equal to 1, as well as zero slopes and various y-intercepts. The examples cover a range of linear functions demonstrated visually and numerically.
Topic 2 multiplying polynomials - part 1
The document discusses multiplying polynomials by monomials. It provides examples of multiplying terms inside parentheses by a monomial outside the parentheses. For each example, it shows distributing the monomial and then multiplying each term. The number of terms inside the parentheses remains the same after multiplying. The document includes practice problems for students to work through, with the steps of distributing the monomial and multiplying each term shown.
Algebra 2 Day 1 Graphs & Linearly Related Data
A first lesson in Algebra II geared at introducing the text book and teaching about linearly related data from tables.
Multiplication Properties of Exponents
Here are the steps to solve this problem:
1) Write the area of Samoa in scientific notation: 2.9 × 103 km2
2) The area of Texas is 2.3 × 102 times as great as Samoa
3) Multiply the area of Samoa by 2.3 × 102:
(2.9 × 103 km2) × (2.3 × 102) = 6.67 × 105 km2
The approximate area of Texas is 6.67 × 105 km2.
POLYNOMIALS - Add Subtract Multiply
1) This document discusses polynomial operations and rules including combining like terms, adding, subtracting, and multiplying polynomials. Key terms defined include degree of a polynomial, standard form, leading coefficient, monomial, binomial, trinomial, and polynomial.
2) Examples are provided for combining like terms, adding, subtracting, and multiplying polynomials using the distributive property. Special cases like FOIL (First, Outer, Inner, Last) are explained for multiplying binomials.
3) Practice problems with answers are given for multiplying polynomials.
Power of Power Exponent Rule
The document discusses exponential population growth and the "power of power" rule. It provides an example of how a population starting at 1 person that doubles each generation through having 4 children per person would grow exponentially from 1 to 4 to 16 to 64 etc. It then explains the rules for expanding exponential expressions using exponents, such as multiplying exponents when the base is the same under multiplication or addition, and subtracting exponents when dividing terms with the same base. Examples are provided to demonstrate simplifying expressions using these exponent rules.
Module 9 Topic 2 multiplying polynomials - part 1
The document discusses multiplying polynomials by monomials. It explains that to multiply a polynomial by a monomial, each term inside the polynomial parentheses should be multiplied by the monomial. This will preserve the number of terms. Examples are provided to demonstrate distributing the monomial to each term and then multiplying the terms. Readers are instructed to work through practice problems in their notebook and check their work.
Dividing Exponents
The document provides instructions for dividing terms with algebraic exponents. It explains that to divide algebraic exponent terms, one should write the division as a fraction and separate the numbers from the variables with exponents. Then, reduce the numerical fraction and use the exponent subtraction rule, which states that if the bases are the same, subtract the exponents. This allows one to simplify the algebraic exponent terms in the division. Several examples are shown applying these steps to divide various algebraic exponent terms.
Polynomial operations
Adding polynomials involves combining like terms. Subtracting polynomials involves changing the operation to addition and changing the signs of the terms in the second polynomial. Multiplying polynomials involves distributing and combining products of terms using FOIL or the distributive property. Practice problems are provided for adding, subtracting and multiplying polynomials.
Multiplying polynomials
The document describes three methods for multiplying polynomials:
1) The distributive property, which involves multiplying each term of one polynomial with each term of the other.
2) FOIL (First, Outer, Inner, Last), which is a mnemonic for multiplying binomials by multiplying corresponding terms.
3) The box method, which involves drawing a box and writing one polynomial above and beside the box, then multiplying corresponding terms. Examples are provided to demonstrate each method.
Rules of exponents
The document discusses several rules and properties related to exponents:
1) When multiplying like bases, you add the exponents.
2) When raising a power to a power, you multiply the exponents.
3) Any integer raised to a negative one power is the reciprocal of that integer.
4) Any number raised to the first power is itself, and any number raised to the zero power is one.
8 4 Negative And Zero Exponents
Negative exponents do not represent negative numbers. Any number to the zero power equals one, which can be proven using the division of powers property. Negative exponents can be simplified by raising the number under the exponent to a positive power equal to the negative exponent.
Multiplying Polynomials I
This document reviews rules of exponents and introduces multiplying polynomials using the distributive property and box method. It defines monomials, binomials, and trinomials. Examples are provided of distributing a monomial over a binomial using the box method, including rewriting the expression by combining like terms.
Module 9 Topic 1 - Adding & Subtracting polynomials
The document provides notes on polynomials, including defining polynomials, describing their terms and degrees, adding and subtracting polynomials, and working through examples of finding degrees, adding, subtracting, and combining like terms of polynomials. The notes include 5 pages on adding and subtracting polynomials and working through examples step-by-step to show the process.
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Math Benchmark
1) A negative exponent means to divide the number by itself that many times.
2) For a single number with a negative exponent, write the number as a fraction with the number in the denominator and 1 in the numerator.
3) The pattern shown finds that the value of 1/2 raised to a negative exponent n is equal to 2 to the n power.
Product and Quotient Rule Show
This document discusses rules for finding derivatives of products and quotients using the product rule and quotient rule. It provides examples of applying these rules to functions like f(x)=(x3)(x+x2) and f(x)=(4x2+5)/(x5). It notes that in some cases, it may be easier to first distribute and simplify the expression before finding the derivative.
AA Section 7-2/7-3
The document provides examples and definitions for properties and operations involving exponents. It defines properties like the product of powers, power of a power, quotient of powers, and zero exponents. It also defines negative integer exponents and provides examples of simplifying expressions using the definition that a^-n = 1/an.
FRCC MAT050 Negative Exponents II (Sect 3.5)
This document provides homework assignments on negative exponents including practice problems from the textbook, group work, and online exercises. Students are asked to complete practice problems from their textbook, work through additional problems together in a group, and finish by doing assignments online and in their textbook.
125 2.4
This document discusses rules for taking derivatives of products and quotients. It introduces the product rule for derivatives of terms multiplied together, and the quotient rule for derivatives of terms divided by each other. It notes that while the power rule is easiest, these other rules provide shortcuts when the power rule cannot be used. An example problem uses both the product and quotient rules together to take the derivative.
Review of multiplying polynomials
This document reviews three methods for multiplying polynomials: the distributive property, FOIL method, and box method. It provides examples of multiplying binomials like (2x + 3)(5x + 8) and (y + 4)(y - 3) using each method. The key steps of each method are defined, including the FOIL acronym for the order of multiplying terms in binomials.
Tutorials: Linear Functions in Tabular and Graph Form
This document provides 21 examples of linear functions presented as both tables and graphs. Each example shows a linear function in slope-intercept form with different characteristics for the slope and y-intercept, such as positive and negative slopes greater than, less than, and equal to 1, as well as zero slopes and various y-intercepts. The examples cover a range of linear functions demonstrated visually and numerically.
Topic 2 multiplying polynomials - part 1
The document discusses multiplying polynomials by monomials. It provides examples of multiplying terms inside parentheses by a monomial outside the parentheses. For each example, it shows distributing the monomial and then multiplying each term. The number of terms inside the parentheses remains the same after multiplying. The document includes practice problems for students to work through, with the steps of distributing the monomial and multiplying each term shown.
Algebra 2 Day 1 Graphs & Linearly Related Data
A first lesson in Algebra II geared at introducing the text book and teaching about linearly related data from tables.
Multiplication Properties of Exponents
Here are the steps to solve this problem:
1) Write the area of Samoa in scientific notation: 2.9 × 103 km2
2) The area of Texas is 2.3 × 102 times as great as Samoa
3) Multiply the area of Samoa by 2.3 × 102:
(2.9 × 103 km2) × (2.3 × 102) = 6.67 × 105 km2
The approximate area of Texas is 6.67 × 105 km2.
POLYNOMIALS - Add Subtract Multiply
1) This document discusses polynomial operations and rules including combining like terms, adding, subtracting, and multiplying polynomials. Key terms defined include degree of a polynomial, standard form, leading coefficient, monomial, binomial, trinomial, and polynomial.
2) Examples are provided for combining like terms, adding, subtracting, and multiplying polynomials using the distributive property. Special cases like FOIL (First, Outer, Inner, Last) are explained for multiplying binomials.
3) Practice problems with answers are given for multiplying polynomials.
Power of Power Exponent Rule
The document discusses exponential population growth and the "power of power" rule. It provides an example of how a population starting at 1 person that doubles each generation through having 4 children per person would grow exponentially from 1 to 4 to 16 to 64 etc. It then explains the rules for expanding exponential expressions using exponents, such as multiplying exponents when the base is the same under multiplication or addition, and subtracting exponents when dividing terms with the same base. Examples are provided to demonstrate simplifying expressions using these exponent rules.
Module 9 Topic 2 multiplying polynomials - part 1
The document discusses multiplying polynomials by monomials. It explains that to multiply a polynomial by a monomial, each term inside the polynomial parentheses should be multiplied by the monomial. This will preserve the number of terms. Examples are provided to demonstrate distributing the monomial to each term and then multiplying the terms. Readers are instructed to work through practice problems in their notebook and check their work.
Dividing Exponents
The document provides instructions for dividing terms with algebraic exponents. It explains that to divide algebraic exponent terms, one should write the division as a fraction and separate the numbers from the variables with exponents. Then, reduce the numerical fraction and use the exponent subtraction rule, which states that if the bases are the same, subtract the exponents. This allows one to simplify the algebraic exponent terms in the division. Several examples are shown applying these steps to divide various algebraic exponent terms.
Polynomial operations
Adding polynomials involves combining like terms. Subtracting polynomials involves changing the operation to addition and changing the signs of the terms in the second polynomial. Multiplying polynomials involves distributing and combining products of terms using FOIL or the distributive property. Practice problems are provided for adding, subtracting and multiplying polynomials.
Multiplying polynomials
The document describes three methods for multiplying polynomials:
1) The distributive property, which involves multiplying each term of one polynomial with each term of the other.
2) FOIL (First, Outer, Inner, Last), which is a mnemonic for multiplying binomials by multiplying corresponding terms.
3) The box method, which involves drawing a box and writing one polynomial above and beside the box, then multiplying corresponding terms. Examples are provided to demonstrate each method.
Rules of exponents
The document discusses several rules and properties related to exponents:
1) When multiplying like bases, you add the exponents.
2) When raising a power to a power, you multiply the exponents.
3) Any integer raised to a negative one power is the reciprocal of that integer.
4) Any number raised to the first power is itself, and any number raised to the zero power is one.
8 4 Negative And Zero Exponents
Negative exponents do not represent negative numbers. Any number to the zero power equals one, which can be proven using the division of powers property. Negative exponents can be simplified by raising the number under the exponent to a positive power equal to the negative exponent.
Multiplying Polynomials I
This document reviews rules of exponents and introduces multiplying polynomials using the distributive property and box method. It defines monomials, binomials, and trinomials. Examples are provided of distributing a monomial over a binomial using the box method, including rewriting the expression by combining like terms.
Module 9 Topic 1 - Adding & Subtracting polynomials
The document provides notes on polynomials, including defining polynomials, describing their terms and degrees, adding and subtracting polynomials, and working through examples of finding degrees, adding, subtracting, and combining like terms of polynomials. The notes include 5 pages on adding and subtracting polynomials and working through examples step-by-step to show the process.
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Tutorials: Linear Functions in Tabular and Graph Form
Tutorials: Linear Functions in Tabular and Graph Form
Module 9 Topic 1 - Adding & Subtracting polynomials
Module 9 Topic 1 - Adding & Subtracting polynomials