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 a2 = b

Set: A well-defined collections of objects

Element: An object of the set

Subset: Elements from a given setNatural 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)

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: <, ≤, >, ≥.

GOAL:

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 NUMBERSIRRATIONALS:Numbers that cannot be written in fraction and decimal values do not repeat.

π, ,

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

SOLUTION: Before we describe/classify the solutions we must do the math:

Area = 136 ft a2=136 a = ?Using our knowledge of basic math:

a2 = 136

a =

a = 11.66 12

thus: a = 12 is found on the Natural, whole, interger, rational and real numbers.

YOU TRY IT:

Classify

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.

VIDEOS: Classifying Real Numbers

Real Numbers:

http://www.khanacademy.org/math/arithmetic/fractions/number_sets/v/number-sets

CLASSWORK:

Page 20-22:

Problems: 1, 3, 5, 6, 7, 10, 24

33, 37, 46, 56.