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1.1 – 1.2 Sets of Numbers & Properties of Real Numbers 8/21/13 Algebra ¾ Mr. Smits Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Vocab Number Sets: a collection of numbers – Subset: a set of numbers that belong to another set – Empty Set: a set containing no elements; Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Real World Subsets Set: {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} Subset of solids: {1,2,3,4,5,6,7} Subset of stripped: {9,10,11,12,13,14,15} Subset: {8} Goals: Classify and order real numbers. Identify & use properties of real numbers. *On a sticky note, identify one other real world example of sets and subsets.*

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Math Subsets Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Example 1: Order the numbers from least to greatest and then classify each number by the subsets of which it belongs NumbersRealRationalIntegerWholeNaturalIrrational Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Properties of Numbers Additive Identity: x + __ = x Multiplicative Identity: x(__) = x Additive Inverse: x + __ = 0 Multiplicative Inverse: x(__) = 1 Commutative Property: a + b = b + a Associative Property: (a + b) + c = a + (b + c) Distributive Property: a(b + c) = ab + ac Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Example 2: Find the additive and multiplicative inverses. a. 12b. Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Example 3: Identify the property demonstrated by each equation. a. 2(3.9) = 3.9(2)b. Goals: Classify and order real numbers. Identify & use properties of real numbers.

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Assignment 1.1 Pg. 10 #12-14, 20, 23, 24, 36-39 1.2 Pg. 17 #18-23, 35-41, 53 Goals: Classify and order real numbers. Identify & use properties of real numbers.

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