Rational algebraic expression (computer science)
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This document discusses addition and subtraction of rational algebraic expressions, which are fractions with polynomial numerators and denominators. It explains that rational expressions with like denominators can be added or subtracted by combining only the numerators and keeping the same denominator. Rational expressions with unlike denominators require finding a common denominator before performing the operations. Examples are provided of adding and subtracting rational expressions with both like and unlike denominators.
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1.3
This document provides an overview of algebraic expressions and how to work with them. It covers the order of operations, writing expressions from word phrases, evaluating expressions, definitions of terms, coefficients, constants, and like terms. It also discusses simplifying expressions by combining like terms. Examples are provided to demonstrate evaluating expressions and simplifying by combining like terms. The homework assigned is to complete selected problems on page 22.
0.1 bzca5e
The document covers several topics in algebra including:
1) Algebraic expressions which are combinations of variables and numbers using operations like addition and multiplication.
2) Evaluating algebraic expressions by solving for variables.
3) Sets and set notation including listing elements, unions, intersections, and describing sets.
4) Ordering and types of real numbers such as natural numbers, whole numbers, integers, rational and irrational numbers.
5) Absolute value and finding distances on a number line.
6) Simplifying algebraic expressions by combining like terms.
1.3 Algebraic Expressions
1. The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
2. To write an algebraic expression from a word phrase, identify key words that indicate operations and define variables to represent unknown quantities.
3. To evaluate an algebraic expression, substitute values for the variables and simplify using PEMDAS.
Power Laws
This document discusses various methods for estimating and calculating square roots. It begins by defining irrational numbers as non-repeating decimals that can result from taking the square root of a non-perfect square. It then discusses estimating square roots by knowing perfect square numbers and using guess and check methods. Later sections cover using calculators, applying square roots in formulas, exponent rules including multiplication, division, powers, and scientific notation for writing extremely large numbers.
Ch15 radicals
This document provides an overview of radicals and their properties. It discusses:
- Simplifying radicals using product, quotient, and nth root rules
- Adding and subtracting radicals by combining like terms
- Multiplying and dividing radicals using distribution and rationalizing denominators
- Solving equations containing radicals by isolating radicals and raising both sides to matching powers
- Applications including using the Pythagorean theorem and distance formula to solve problems involving radicals
Unit6: Algebraic expressions and equations
Algebraic expressions and equations, variable, identity, monomial, solving equations, the balance method,...
ALGEBRAIC EXPRESSION.pptx
The document discusses algebraic expressions and their simplification. It defines variables, constants, literals, and algebraic expressions. It explains that an algebraic expression combines variables and constants using operations like addition, subtraction, multiplication, and division. The document also discusses key terms related to algebraic expressions like polynomials, terms, coefficients, exponents, and the degree of a polynomial. It provides examples of how to simplify algebraic expressions by collecting like terms.
Expressions (mathematical)
This document discusses numerical and algebraic expressions. Numerical expressions can contain operations, real numbers, powers, square roots, and parentheses. They are always evaluated with numbers. Algebraic expressions can contain variables and coefficients of variables. They are not fully evaluated until the variables are assigned values. The order of operations PEMDAS is explained - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Examples of both numerical and algebraic expressions are provided but not shown. Terms and the literal part and coefficient of algebraic expressions are also mentioned but not explained in detail.
Rafsay castillo
AUTORA: Rafsay Krisbel Castillo Contreras
PNF ADMINISTRACION
TRAYECTO: Inicial
SECCION: AD0103
MIT Math Syllabus 10-3 Lesson 3: Rational expressions
This document provides information about rational expressions including:
- A rational expression is a fraction where the numerator and denominator are polynomials.
- The domain of a rational expression excludes any values that would cause division by zero.
- Rational expressions can be simplified by factoring the numerator and denominator and cancelling out common factors.
- The four arithmetic operations can be performed on rational expressions using similar properties as rational numbers.
- Complex fractions containing fractions in the numerator or denominator can be simplified by finding the least common denominator or multiplying the numerator and denominator by the reciprocal.
- Rational expressions can be used to solve applications involving averages, rates, or other fractional relationships.
Translating Mathematical Phrases to Rational Algebraic Expressions
This document provides instruction on translating mathematical phrases to rational algebraic expressions. It begins by stating the objectives of determining symbols, variables, and operations, and translating phrases to expressions. It then reviews polynomials and introduces translating phrases using numbers, symbols, variables, grouping symbols, and constants. Various representations for multiplication and division are described. Additional terms corresponding to operations are mentioned. An activity and biblical proverbs are included to reinforce learning.
Presentacion
Katiuska Alexandra Méndez Álvarez
C.I V-26.797.199
Maria Laura Santeliz Piñango
C.I V-27.008.304
1-1-Slide-Show-Writing-and-Interpreting-Numerical-Expressions.pptx
1) The document discusses writing and interpreting numerical expressions. It defines numerical expressions and their key components like numbers and operations.
2) It provides examples of writing numerical expressions from verbal phrases by recognizing clue words for operations. Proper grouping using parentheses is important to show the correct order of operations.
3) The document also discusses interpreting numerical expressions without evaluating them using visual models like tape diagrams to compare expressions.
Translating Mathematical Phrases to rational algebraic expressions 200827031831
This document provides objectives and instructions for translating mathematical phrases to rational algebraic expressions. It begins by reviewing polynomials and defining the symbols, variables, and operations used in algebraic expressions like numbers, parentheses, brackets, braces, and variables to represent values. It then discusses how multiplication, division, addition and subtraction can be represented and notes there are additional terms for these operations. The document provides an activity for students to practice the translations and closes with a reminder of key points to remember and a biblical verse.
algebrapptx.pptx
The document discusses the key terms and concepts related to algebra. It begins by explaining that Al-Khwarizmi is considered the father of algebra and the origin of the word "algebra" comes from the title of one of his books. It then defines important terms in algebra like variables, constants, terms, algebraic expressions, degree of a polynomial, leading term, and leading coefficient. Finally, it covers the four basic operations that can be performed on polynomials - addition, subtraction, multiplication, and division - and provides examples of how to apply rules and properties like the distributive property and laws of exponents when operating on polynomials.
thelanguageofalgebra-191009022844 (2).pptx
This document provides an overview of the key concepts in the language of algebra. It discusses that algebra involves expressions with variables, and algebraic expressions combine numbers with variables using letters and operation symbols. The language of algebra contains numerals, variables to represent unknown numbers, constants, and operational symbols to represent addition, subtraction, multiplication, and division. It provides examples of translating word phrases to algebraic expressions and defines terms like algebraic terms, expressions, coefficients and evaluating expressions by substitution.
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MIT Math Syllabus 10-3 Lesson 3: Rational expressions
MIT Math Syllabus 10-3 Lesson 3: Rational expressions
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Translating Mathematical Phrases to Rational Algebraic Expressions
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Translating Mathematical Phrases to rational algebraic expressions 200827031831
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Introduction to objective, scope and outcome the subject
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Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Rational algebraic expression (computer science)
- 1. Addition and Subtraction of Rational Algebraic Expressions
- 2. What is Addition and Subtraction of Rational Algebraic Expressions?
- 3. What is a rational expression? A rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials.
- 4. Addition and Subtraction of Rational Algebraic Expressions with Like Denominators.
- 5. The Sequence of Adding and Subtracting Rational Algebraic Expressions with Like Expression.
- 6. Examples of Rational Algebraic Expressions with LIKE EXPRESSIONS.
- 7. Exaples of Rational Algebraic Expressions with LIKE DENOMINATORS.
- 8. Exaples of Rational Algebraic Expressions with LIKE DENOMINATORS.
- 9. Exaples of Rational Algebraic Expresion with LIKE DENOMINATORS.
- 10. EXAMPLES: Perform the indicated operations.
- 11. Addition and Subtraction of Rational Algebraic Expressions with Unlike Denominators.
- 12. The Sequence of Adding and Subtracting Rational Algebraic Expressions with Unlike Denominators.
- 13. Examples of Rational Algebraic Expressions with Unlike Denominatots.
- 14. Examples of Rational Algebraic Expressions with Unlike Denominatots.
- 15. Examples of Rational Algebraic Expressions with Unlike Denominatots.
- 16. Things to Remember: •To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in " Lowest Terms".
- 17. Flash At The Past
- 18. • One of the first Directors of the House of Wisdom in Bagdad in the early 9th Century was an outstanding Persian mathematician called Muhammad Al-Khwarizmi. He oversaw the translation of the major Greek and Indian mathematical and astronomy works (including those of Brahmagupta) into Arabic, and produced original work which had a lasting influence on the advance of Muslim and (after his works spread to Europe through Latin translations in the 12th Century) later European mathematics. Muhammad Al-Khwarizmi.
- 20. Thank You 😀 😀 😀