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Rational vs. Irrational Numbers

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- 1. Classifying NumbersRational Numbers vs. Irrational Numbers
- 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. 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. Examples of Irrational Numbers 4
- 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. Try this . . . 6
- 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. Time to practice 8
- 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. Time to practice 10
- 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. Time to practice 12
- 13. How many RATIONALnumbers can you find? Find the answer on the next slide 13
- 14. Did you find6 rational numbers? They are: 14

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