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Look at several examples of rational ...

Look at several examples of rational numbers in the form ` (p)/(q), [ q ne 0]` where `p` and `q` are integers with no common factors other then `1` and having terminating decimal representations (expansions). Can you guess what property `q` must satisfy?

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KUMAR PRAKASHAN-NUMBER SYSTEMS-EXERCISE 1.3
  1. Write the following in decimal and say what kind of decimal expansio...

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  2. Write the following in decimal and say what kind of decimal expansio...

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  3. Write the following in decimal and say what kind of decimal expansio...

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  4. Write the following in decimal and say what kind of decimal expansio...

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  5. Write the following in decimal and say what kind of decimal expansio...

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  6. Write the following in decimal and say what kind of decimal expansio...

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  7. You know that (1)/(7) = 0.bar ( 142857) . Can you predict what the d...

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  8. Express the following in the form (p)/(q) where p and q integers an...

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  9. Express the following in the form (p)/(q) where p and q integers an...

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  10. Express the following in the form (p)/(q) where p and q integers an...

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  11. Express 0.99999…. in the form ( p)/(q) , Are you surprised by your ...

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  12. What can the maximum number of digits be in the repeating block of dig...

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  13. Look at several examples of rational numbers in the form (p)/(q),...

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  14. Write three numbers whose decimal expansions are non-terminating non...

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  15. Find three different irrational numbers. Between the rational numbe...

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  16. Classify the following numbers as rational or irrational : sqrt(2...

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  17. Classify the following numbers as rational or irrational : sqrt(...

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  18. Classify the following numbers as rational or irrational : 0.379...

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  19. Classify the following numbers as rational or irrational : 7.478...

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  20. Classify the following numbers as rational or irrational : 1.10...

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