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Classifying numbers

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    Classifying numbers Classifying numbers Presentation Transcript

    • 8th grade Math – Numeration Unit
      7
      -√36
      ¾
      π
      Classifying Numbers
      2.12122….
      0
    • Number Types
      Whole
      Integers
      Rational Numbers
      Irrational Numbers
      Which is which?
      How can you tell them apart?
    • Whole Numbers
      The Counting Numbers including 0.
      Ex: 0,1,2,3,4,5……
      9
      43
      12
      101
      235
    • Integers
      Positive and negative whole numbers.
      -3,-2,-1,0,1,2,3…….
      How are integers and whole numbers related?
      -132
      -27
      19
    • Whole Numbers = Integers
      All whole numbers are integers because integers include both positive and negative whole numbers.
    • Rational Numbers
      Numbers that can be written as a fraction a/b.
      Numbers that have terminating decimals.
      Numbers that have repeating decimals.
      4.375 = 4-375/1000 = 4-3/8
      2.5 = 2-5/10 = 2-1/2
      0.3 repeating = 3/9 = 1/3
      How do rational numbers relate?
    • Rational Numbers = Integers = Whole Numbers
      All rational numbers are integers and whole numbers because you can make them into a ratio (or fraction) by putting a 1 under it.
      24/1, -8/1, 567/1, -76/1, 24/3, -64/8
    • Irrational Numbers
      Numbers that cannot be made into a simple fraction; they have a decimal that keeps going and going.
      π , √2 , 4.23233…. , -√8
      Pi
      Pi
    • Are Irrational Numbers Related?
      Irrational Numbers are by themselves because they cannot be made into fractions (rational numbers) or cannot be a positive or negative whole number since there is no decimal.
      Rational Number
      Integer
      Whole
      Irrational Numbers
    • Let’s Practice!
      State which type of number these examples are:
    • Practice Continued
      State which type of number these examples are:
    • Answers
    • Quiz
      Place these numbers into the correct category on the chart to prove your understanding.
      -3, 27/3, π, 4.68, √13, -√49, 3.14144…, 8, ¼, 3.25, 61, .8 repeating, √144, -30/5, 244/2, 0
      Irrational Numbers
    • How did you do?
      Irrational Numbers
      ¼
      .8 repeating
      π
      3.25
      4.68
      √13
      -3
      -√49
      -30/5
      27/3
      3.14144…
      8
      61
      244/2
      √144
      0
    • Explanation Time!
      Explain with a chart how these types of numbers are related and give examples of each:
      Whole numbers
      Integers
      Rational Numbers
      Irrational Numbers
      Which is which?
      How can you tell them apart?
    • Conclusion
      Remember: All whole #’s are integers and all integers and whole #’s are rational #’s
    • References
      http://www.examiner.com/math-education-in-dallas/history-of-pi
      Pi picture
      Microsoft PowerPoint SmartArt
      Graphic organizers