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Boundless Teaching Platform - Customizable Textbooks & Teaching Tools

Boundless is a technology company empowering educators with affordable customizable textbooks and intuitive teaching tools. Access high-quality content in various subjects and customize it to match your assigned textbooks.

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Boundless Teaching Platform - Customizable Textbooks & Teaching Tools

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  1. Boundless Lecture Slides Available on the Boundless Teaching Platform Free to share, print, make copies and changes. Get yours at www.boundless.com

  2. Using Boundless Presentations Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: • The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. http://boundless.com/teaching-platform • Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. If you have any questions or problems please email: educators@boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com

  3. About Boundless • Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com. Free to share, print, make copies and changes. Get yours at www.boundless.com

  4. Introduction to Arithmetic Operations Numbers and Operations Properties of Real Numbers Basic Applications of Arithmetic Operations Radicals ] Further Exponents Numbers and Operations Free to share, print, make copies and changes. Get yours at www.boundless.com

  5. Numbers and Operations > Introduction to Arithmetic Operations Introduction to Arithmetic Operations • Basic Operations • Negative Numbers • Fractions • Complex Fractions • Introduction to Exponents • The Order of Operations Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/numbers-and-operations-1/introduction-to-arithmetic-operations-9/

  6. Numbers and Operations > Properties of Real Numbers Properties of Real Numbers • Interval Notation • Absolute Value • Sets of Numbers • Factors Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/numbers-and-operations-1/properties-of-real-numbers-10/

  7. Numbers and Operations > Basic Applications of Arithmetic Operations Basic Applications of Arithmetic Operations • Percents • Averages Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/numbers-and-operations-1/basic-applications-of-arithmetic-operations-11/

  8. Numbers and Operations > Radicals Radicals • Introduction to Radicals • Adding, Subtracting, and Multiplying Radical Expressions • Fractions Involving Radicals • Imaginary Numbers Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/numbers-and-operations-1/radicals-12/

  9. Numbers and Operations > Further Exponents Further Exponents • Rules for Exponent Arithmetic • Negative Exponents • Rational Exponents • Scientific Notation Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/numbers-and-operations-1/further-exponents-13/

  10. Appendix Free to share, print, make copies and changes. Get yours at www.boundless.com

  11. Numbers and Operations Key terms • absolute valueThe distance of a real number from  along the real number line. • arithmetic meanThe measure of central tendency of a set of values computed by dividing the sum of the values by the number of values; commonly called the "average." • associativeReferring to a mathematical operation that yields the same result regardless of the grouping of the elements. • averageA measure of the "middle" or "typical" value of a data set. • baseA number raised to the power of an exponent. • baseIn an exponential expression, the value that is multiplied by itself. • bounded intervalA set for which both endpoints are real numbers. • closed intervalA set of real numbers that includes both of its endpoints. • commutativeReferring to a binary operation in which changing the order of the operands does not change the result (e.g., addition and multiplication). • complex fractionA ratio in which the numerator, denominator, or both are themselves fractions. • cube rootA root of degree 3, written in the form . • denominatorThe number that sits below the fraction bar and represents the whole number. Free to share, print, make copies and changes. Get yours at www.boundless.com

  12. Numbers and Operations • differenceThe result of subtracting one quantity from another. • endpointEither of the two points at the ends of a line segment. • exponentThe power to which a number, symbol, or expression is to be raised. For example, the 3 in . • exponentIn an exponential expression, the value raised above the base; represents the number of times the base must be multiplied by itself. • exponentThe power raised above the base, representing the number of times the base must be multiplied by itself. • factorAny of various objects multiplied together to form some whole. • factorizationThe process of creating a list of items that, when multiplied together, will produce a desired quantity or expression. • fractionA ratio of two numbers—a numerator and a denominator—usually written one above the other and separated by a horizontal bar. • half-bounded intervalA set for which one endpoint is a real number and the other is not. • imaginary numberThe square root of -1. • intervalA distance in space. • mathematical operationAn action or procedure that produces a new value from one or more input values. Free to share, print, make copies and changes. Get yours at www.boundless.com

  13. Numbers and Operations • normalized scientific notationA number written in scientific notation such that the absolute value of  remains at least 1 but less than 10. • numeratorThe number that sits above the fraction bar and represents the part of the whole number. • open intervalA set of real numbers that does not include its endpoints. • percentA number or ratio expressed as a fraction of 100. • prime factorA factor that is also a prime number. • prime numberA whole number greater than 1 that can be divided evenly by only the number 1 and itself. • productThe result of multiplying two quantities. • quotientThe result of dividing one quantity by another. • radical expressionAn expression that represents the root of a number or quantity. • radical expressionA mathematical expression that contains a root, written in the form . • radicandThe number or expression whose square root or other root is being considered; e.g., the 3 in . More simply, the number under the radical. • radicandThe value under the radical sign. Free to share, print, make copies and changes. Get yours at www.boundless.com

  14. Numbers and Operations • rational numberA real number that can be expressed as the ratio of two integers. • rationalizationA process by which radicals in the denominator of an fraction are eliminated. • reciprocalA fraction that is turned upside down so that the numerator and denominator have switched places. • rootA number that when raised to a specified power yields the specified number or expression. • rootA number that when raised to a specified power yields a specified number or expression. • scientific notationA method of writing or of displaying real numbers as a decimal number between 1 and 10 multiplied by an integer power of 10. • setA collection of unique objects, potentially infinite in size, that is not reliant on the order of the objects contained within it. • square rootA root of degree 2, written in the form . • subsetA set that is also an element of another set. • sumThe result of adding two quantities. • supersetA set that contains another set. • unbounded intervalA set for which neither endpoint is a real number. Free to share, print, make copies and changes. Get yours at www.boundless.com

  15. Numbers and Operations Absolute value The absolute values of 5 and -5 shown on a number line. Free to share, print, make copies and changes. Get yours at www.boundless.com Openstax."Absolute Value Illustrated on Number Line."CC BY 4.0http://cnx.org/contents/yqV9q0HH@7.15:EjCWRC94@3/Introduction-to-IntegersView on Boundless.com

  16. Numbers and Operations Intervals Representations of open and closed intervals on the real number line. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX."Sunil Kumar Singh, Subsets. November 25, 2012."CC BY 3.0http://cnx.org/content/m15193/latest/View on Boundless.com

  17. Numbers and Operations Quarters of a cake A cake with one-fourth removed. The remaining three-fourths are shown. Dotted lines indicate where the cake can be cut to divide it into equal parts. Each remaining fourth of the cake is denoted by the fraction . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Fractions."GNU FDLhttp://en.wikipedia.org/wiki/FractionsView on Boundless.com

  18. Numbers and Operations Prime factorization example This factor tree shows the factorization of 864. It shows that 864 is the product of five 2s and three 3s. A shorthand way of writing these resulting prime factors is . Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia."Integer Factorization."CC BY-SA 3.0https://en.wikipedia.org/wiki/Integer_factorizationView on Boundless.com

  19. Numbers and Operations Attribution • OpenStax CNX."Wade Ellis and Denny Burzynski, Basic Operations with Real Numbers: Scientific Notation. September 17, 2013."CC BY 3.0http://cnx.org/content/m21879/latest/ • OpenStax CNX."Wade Ellis and Denny Burzynski, Basic Operations with Real Numbers: Scientific Notation. September 17, 2013."CC BY 3.0http://cnx.org/content/m21879/latest/ • Wikipedia."Scientific notation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Scientific_notation • Wikipedia."Scientific notation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Scientific%20notation • Wikipedia."Scientific notation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Scientific_notation • Wikipedia."Exponentiation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Exponentiation • Wiktionary."exponent."CC BY-SA 3.0http://en.wiktionary.org/wiki/exponent • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//chemistry/definition/base • Wiktionary."operation."CC BY-SA 3.0http://en.wiktionary.org/wiki/operation • Wikipedia."mathematical operation."CC BY-SA 3.0http://en.wikipedia.org/wiki/mathematical%20operation • Wikipedia."Order of operations."CC BY-SA 3.0http://en.wikipedia.org/wiki/Order_of_operations • Wikibooks."Algebra/Order of Operations."CC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Order_of_Operations • Wikipedia."Absolute value."CC BY-SA 3.0http://en.wikipedia.org/wiki/Absolute_value • Wiktionary."modulus."CC BY-SA 3.0http://en.wiktionary.org/wiki/modulus • Wiktionary."absolute value."CC BY-SA 3.0http://en.wiktionary.org/wiki/absolute_value • Wikipedia."Percent."CC BY-SA 3.0http://en.wikipedia.org/wiki/Percent • Wiktionary."percent."CC BY-SA 3.0http://en.wiktionary.org/wiki/percent Free to share, print, make copies and changes. Get yours at www.boundless.com

  20. Numbers and Operations • Wikipedia."Rational function."CC BY-SA 3.0http://en.wikipedia.org/wiki/Rational_function%23Complex_rational_functions • OpenStax CNX."Wade Ellis and Denny Burzynski, Rational Expressions: Complex Rational Expressions. September 17, 2013."CC BY 3.0http://cnx.org/content/m21944/latest/ • OpenStax CNX."Kenny Felder, Advanced Algebra II: Conceptual Explanations. September 17, 2013."CC BY 3.0http://cnx.org/content/m18304/latest/?collection=col10624 • Wikipedia."Complex number."CC BY-SA 3.0http://en.wikipedia.org/wiki/Complex_number • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//algebra/definition/complex-fraction • Wikipedia."Riemann sphere."CC BY-SA 3.0http://en.wikipedia.org/wiki/Riemann_sphere • Wikipedia."Expression (mathematics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Expression_(mathematics) • Wikipedia."Set (mathematics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Set_(mathematics) • Wiktionary."subset."CC BY-SA 3.0http://en.wiktionary.org/wiki/subset • Wiktionary."set."CC BY-SA 3.0http://en.wiktionary.org/wiki/set • Wiktionary."expression."CC BY-SA 3.0http://en.wiktionary.org/wiki/expression • Wikipedia."Interval (mathematics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Interval_(mathematics)%23Notations_for_intervals • Wikipedia."Interval (mathematics)."CC BY-SA 3.0http://en.wikipedia.org/wiki/Interval_(mathematics)%23Notations_for_intervals • Wiktionary."open interval."CC BY-SA 3.0http://en.wiktionary.org/wiki/open_interval • Wiktionary."endpoint."CC BY-SA 3.0http://en.wiktionary.org/wiki/endpoint • Wiktionary."interval."CC BY-SA 3.0http://en.wiktionary.org/wiki/interval • Wikipedia."Fractions."CC BY-SA 3.0http://en.wikipedia.org/wiki/Fractions • Wiktionary."whole number."CC BY-SA 3.0http://en.wiktionary.org/wiki/whole_number • Wiktionary."fraction."CC BY-SA 3.0http://en.wiktionary.org/wiki/fraction Free to share, print, make copies and changes. Get yours at www.boundless.com

  21. Numbers and Operations • Wiktionary."Root."CC BY-SA 3.0https://en.wiktionary.org/wiki/root • Wikipedia."Exponentiation."CC BY-SA 3.0http://en.wikipedia.org/wiki/Exponentiation • Wikipedia."Rational numbers."CC BY-SA 3.0http://en.wikipedia.org/wiki/Rational_numbers • Wiktionary."rational number."CC BY-SA 3.0http://en.wiktionary.org/wiki/rational_number • Wikipedia."nth root."CC BY-SA 3.0https://en.wikipedia.org/wiki/Nth_root • Wikibooks."Algebra/Exponents."CC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Exponents • Wiktionary."complex numbers."CC BY-SA 3.0http://en.wiktionary.org/wiki/complex_numbers • Wikibooks."Algebra/Complex Numbers."CC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Complex_Numbers • Wikipedia."Complex number."CC BY-SA 3.0http://en.wikipedia.org/wiki/Complex_number • Wikipedia."Exponent."CC BY-SA 3.0http://en.wikipedia.org/wiki/Exponent • Wikipedia."Square root."CC BY-SA 3.0http://en.wikipedia.org/wiki/Square_root • Wiktionary."radicand."CC BY-SA 3.0http://en.wiktionary.org/wiki/radicand • Wiktionary."radical."CC BY-SA 3.0http://en.wiktionary.org/wiki/radical • Wikipedia."Nth root."CC BY-SA 3.0http://en.wikipedia.org/wiki/Nth_root • Wikibooks."Algebra/Roots and Radicals."CC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Roots_and_Radicals • Wikipedia."Real number."CC BY-SA 3.0http://en.wikipedia.org/wiki/Real_number • Wikipedia."Arithmetic."CC BY-SA 3.0http://en.wikipedia.org/wiki/Arithmetic%23Basic_arithmetic_operations • Wiktionary."rational number."CC BY-SA 3.0http://en.wiktionary.org/wiki/rational_number • Boundless Learning."Boundless."CC BY-SA 3.0http://www.boundless.com//algebra/definition/associative Free to share, print, make copies and changes. Get yours at www.boundless.com

  22. Numbers and Operations • Wiktionary."commutative."CC BY-SA 3.0http://en.wiktionary.org/wiki/commutative • Wikipedia."Rational numbers."CC BY-SA 3.0http://en.wikipedia.org/wiki/Rational_numbers • Wiktionary."rationalization."CC BY-SA 3.0http://en.wiktionary.org/wiki/rationalization • Wikipedia."Negative Number."CC BY-SA 3.0https://en.wikipedia.org/wiki/Negative_number#Arithmetic_involving_negative_numbers • Wikipedia."Integer factorization."CC BY-SA 3.0https://en.wikipedia.org/wiki/Integer_factorization • Wikipedia."Factorization."CC BY-SA 3.0https://en.wikipedia.org/wiki/Factorization • Wikipedia."Arithmetic Mean."CC BY-SA 3.0https://en.wikipedia.org/wiki/Arithmetic_mean • Wikipedia."Average."CC BY-SA 3.0https://en.wikipedia.org/wiki/Average • Boundless."Mean: the Average."CC BY-SA 4.0https://boundless.com/atoms/100 • Wikipedia."Nth root."CC BY-SA 3.0https://en.wikipedia.org/wiki/Nth_root • Wiktionary ."Root."CC BY-SA 3.0https://en.wiktionary.org/wiki/root • Boundless."Radical Functions."CC BY-SA 4.0http://www.boundless.com/atoms/5517 • Wikipedia."Identities and properties."CC BY-SA 3.0https://en.wikipedia.org/wiki/Exponentiation#Identities_and_properties • Wikipedia."Negative exponents."CC BY-SA 3.0https://en.wikipedia.org/wiki/Exponentiation#Negative_exponents Free to share, print, make copies and changes. Get yours at www.boundless.com

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