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Classifying Numbers

7. -√36. ¾. π. Classifying Numbers. 2.12122…. 0. 8 th grade Math – Numeration Unit. 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.

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Classifying Numbers

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  1. 7 -√36 ¾ π Classifying Numbers 2.12122…. 0 8th grade Math – Numeration Unit

  2. Number Types • Whole • Integers • Rational Numbers • Irrational Numbers • Which is which? • How can you tell them apart?

  3. Whole Numbers • The Counting Numbers including 0. • Ex: 0,1,2,3,4,5…… 9 43 12 101 235

  4. Integers • Positive and negative whole numbers. • -3,-2,-1,0,1,2,3……. • How are integers and whole numbers related? -132 -27 19

  5. Whole Numbers = Integers • All whole numbers are integers because integers include both positive and negative whole numbers.

  6. 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?

  7. 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

  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

  9. Rational Number Are Irrational Numbers Related? • Integer • 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. • Whole Irrational Numbers

  10. Let’s Practice! • State which type of number these examples are:

  11. Practice Continued • State which type of number these examples are:

  12. Answers

  13. 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

  14. How did you do? Irrational Numbers ¼ .8 repeating π 3.25 √13 4.68 -3 -√49 -30/5 27/3 3.14144… 8 61 244/2 √144 0

  15. 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?

  16. Remember: All whole #’s are integers and all integers and whole #’s are rational #’s Conclusion

  17. References • http://www.examiner.com/math-education-in-dallas/history-of-pi • Pi picture • Microsoft PowerPoint SmartArt • Graphic organizers

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