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COLLEGE ALGEBRA Introduction P1 The Real Number System P2 Integer and Rational Number Exponents P3 Polynomials

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Introduction Welcome! Addendum Quarter Project Wikispaces website: Questions?!

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P1 The Real Number System Bonus opportunity for the beginning of P1 on the Wikispaces site! Number system Prime/Composite Numbers Absolute Value Exponential Notation Order of Operations

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P1 - Evaluate

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P1 – Properties of Addition Closurea + b is a unique number Commutativea + b = b + a Associative(a + b) + c = a + (b + c) Identitya + 0 = 0 + a = a Inversea + (-a) = (-a) + a = 0

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P1 – Properties of Multiplication

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P1 – Property Identification

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P1 – Properties of Equality Reflexivea = a SymmetricIf a = b, then b = a TransitiveIf a = b and b = c, then a =c SubstitutionalIf a = b, then a may be replaced by b in any expression that involves a.

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P1 – Properties of Equality

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P1 Time for a break!

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P2 – Integer Exponents

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P2 – Properties of Exponents

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P2 – Scientific Notation

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For numbers less than 10 move the decimal to the right of the first non-zero digit, n will be negative, and its absolute value will equal the number of places the decimal place was moved

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P2 – Scientific Notation

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P2 – Rational Exponents and Radicals

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P2 –Radicals

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P2 –Radical Properties

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P2 –Radicals How do we know if our expression is in simplest form? 1. The radicand contains only powers less than the index. 2. The index of the radical is as small as possible. 3. The denominator has been rationalized. Such that no radicals occur in the denominator. 4. No fractions occur under the radical sign.

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P2 –Radicals

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To Rationalize the Denominator of a fraction means to write the fraction in an equivalent form that does not involve any radicals in the denominator. To do this we multiply the numerator and denominator of the radical expression by an expression that will cause the radicand in the denominator to be a perfect root of the index… Let’s take a look…

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P2 –Radicals

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P2 - Radicals LET’S TAKE A BREAK!

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P3 - Polynomials

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Homework Start finding articles for your quarter project. Chapter P Review Exercises: Number 25 – 81, odds

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