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1.3 Real Numbers:

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

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1.3 Real Numbers:

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  1. Radical Symbol (√ ): A nonnegative square root called the principal square root. Radicand: The expression under the radical symbol 1.3 Real Numbers: Square root: A number a of b if a2 = 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. REAL NUMBERS RATIONALS : Any number that can be written in fraction form 3, 1/3, -5, -1/5, 1+(2/3), …. IRRATIONALS: Numbers that cannot be written in fraction and decimal values do not repeat. π, , 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,……..

  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: a2=136 a = ? Area = 136 ft 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.

  8. Classify YOU TRY IT:

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

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

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

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