1.1 – 1.2 Sets of Numbers & Properties of Real Numbers

8/21/13Algebra ¾Mr. Smits

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

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.

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.*

Math Subsets

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

Example 1: Order the numbers from least to greatest and then classify each number by the subsets

of which it belongs

Numbers Real Rational Integer Whole Natural Irrational

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

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.

Example 2: Find the additive and multiplicative inverses.

a. 12 b.

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

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.

Assignment

1.1 Pg. 10 #12-14, 20, 23, 24, 36-391.2 Pg. 17 #18-23, 35-41, 53

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