1. 1.3 Real Numbers: Radical Symbol (√ ): A nonnegative square root called the principal square root. Radicand: The expression under the radical symbol Square root: A number a of b if a 2 = b Set: A well-defined collections of objects Element: An object of the set

2. Subset: Elements from a given set Natural Numbers: The set of numbers we use to count with: 1, 2, 3, 4, … Whole Numbers: Natural numbers and zero: 0, 1, 2, 3, 4, … Integers: Whole numbers including negative numbers: …, -2, -1, 0, 1, 2, … Rational: Any number that can be written in fraction form (include decimals)

3. Irrationals: A number that cannot be represented as the quotient of two integers (fraction) or decimal form: π Real Numbers: Rational and Irrational numbers together. Inequality: A mathematical sentence that compares that value of two expressions using:, ≥.

4. GOAL:

5. RATIONALS : Any number that can be written in fraction form 3, 1/3, -5, -1/5, 1+(2/3), …. INTEGERS: Naturals and Whole and Negative numbers. …-3,-2,-1,0,1,2,3,….. WHOLE NUMBERS: Naturals and 0 0,1,2,3,…… NATURAL NUMBERS: Numbers we use to count items. 1, 2, 3, 4,…….. REAL NUMBERS

6. REAL-WORLD: A contractor is tiling a square patio that has the area shown at the right. Describe the approximate side length of the patio? Round to the nearest foot.

7. SOLUTION: Before we describe/classify the solutions we must do the math: Area = 136 fta 2 =136 a = ? Using our knowledge of basic math:  a 2 = 136  a = 11.66  12 thus: a = 12 is found on the Natural, whole, interger, rational and real numbers.

8. YOU TRY IT:

9. SOLUTION: Again before we describe/classify the solutions we must do the math: thus: - 6 is found on the Whole, Interger, rational and real numbers.

10. VIDEOS: Classifying Real Numbers Real Numbers: http://www.khanacademy.org/math/arithmetic/fr actions/number_sets/v/number-sets

11. CLASSWORK: Page 20-22: Problems: 1, 3, 5, 6, 7, 10, 24 33, 37, 46, 56.