Classifying Numbers

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Rational vs. Irrational Numbers

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Classifying Numbers

  1. 1. Classifying NumbersRational Numbers vs. Irrational Numbers
  2. 2. A Rational Number: An Irrational Number: • Cannot be written as a simple fraction • Non-terminating decimal (doesn’t end) • Non-repeating decimal (doesn’t repeat in a pattern) Irrational doesn’t mean that it’s crazy! 2
  3. 3. Examples of Rational Numbers Click on each number to see explanation Can be Can be Can be written aswritten as written as 7/1000 3/1 3/2 Repeating Already in decimal. Can fraction form be written as Can be 1/9 written as 4 and as 4/1 3
  4. 4. Examples of Irrational Numbers 4
  5. 5. More Irrational Numbers Click on each number to see explanation Remember . . .Irrational numbers are non-repeating and non-terminating decimals and cannot be written as a fraction. Non-repeating decimal. Can’t be written as a fraction Non-repeating decimal. Can’t be written as fraction 5
  6. 6. Try this . . . 6
  7. 7. Time to practice INCORRECT 0.5 can be written as ½ and so it is rational. Try again! Correct! 0.5 can be written as ½ Good work! 7
  8. 8. Time to practice 8
  9. 9. Time to practice CORRECT! -5.060715… non-repeating, non- terminating decimal Good job! INCORRECT -5.060715… appears to be a non- repeating, non- terminating decimal Try again! 9
  10. 10. Time to practice 10
  11. 11. Time to practice INCORRECT 2/3 is a fraction and so it is rational. Try again! CORRECT 2/3 is a fraction. Good work! 11
  12. 12. Time to practice 12
  13. 13. How many RATIONALnumbers can you find? Find the answer on the next slide 13
  14. 14. Did you find6 rational numbers? They are: 14

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