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TechMathII - 1.1 - The Set of Real Numbers
 

TechMathII - 1.1 - The Set of Real Numbers

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    TechMathII - 1.1 - The Set of Real Numbers TechMathII - 1.1 - The Set of Real Numbers Presentation Transcript

    • Vocabulary
      • Natural Numbers : or “counting numbers”
      • : 1, 2, 3, …
      • Whole Numbers : “counting numbers AND 0”
      • : 0, 1, 2, 3, …
      • Integers : All whole numbers, both positive and negative.
      • : …, -3, -2, -1, 0, 1, 2, …
    • Vocabulary
      • Rational Numbers : any number you can write as a/b, where a and b are integers and b ≠0
      • : fractions
      • : decimals that terminate or stop
      • Irrational Numbers : no fractions, no whole numbers, no integers
      • : 1.10002111101…
      • : √91
      • : pi
    • Vocabulary
      • Real Numbers : everything is always a real number!
      • :all numbers!
    • Examples
      • Name the set(s) of numbers to which each number belongs.
      • 1) 35.99
      • 2) 5/6
      • 3) 0
      • 4) 5 1/8
      • 5) √5
      • 6) -80
    • You try! Name the set(s) of numbers to which each number belongs.
      • 1) -32
      • 2) 4/2
      • 3) √1.6
      • 4) 5/8
    • Inequality
      • A mathematical sentence that compares the value of two expressions using an inequality symbol such as < or >.
      a ≥ b Greater than or equal to a ≠ b Is not equal to a ≤ b Less than or equal to a > b Greater than a = b Is equal to a < b Less than
    • Examples
      • Write in order from least to greatest.
      • 1) -3/8, -1/2, -5/12
      • 2) -8/9, -7/8, -22/25
      • 3) 1/12, -2/3, -5/8
      Step 1: Write as a decimal. Step 2: Write from least to greatest using a number line.
    • You try!
      • Write in order from least to greatest.
      • 1) -3/4, -7/12, -5/8
      • 2) -1/3, -2/9, -3/8
      • 3) 1/8, 1/15, 3/16
    • Absolute Value
      • -the distance away from 0 on a number line
      • Find each absolute value.
      • |12|
      • |-2/3|
      • |0|
      • |-2.9|
      • |5/8|
    • Homework
      • Real Numbers WS