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Express 0.99999....... in the form P/q. ...

Express 0.99999....... in the form `P/q`. Are you surprised by your answer ? Discuss why the answer makes sense with your teacher and classmates.

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MBD-Number Systems-Exercise
  1. Express the following in the form p/q, where p and q are integers and ...

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  2. Express the following in the form p/q , where p and q are integers and...

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  3. Express 0.99999....... in the form P/q. Are you surprised by your answ...

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  4. What is the maximum number of digits in the repeating block of digits ...

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  5. Look at several examples of rational numbers in the form P/q(q ne 0), ...

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  6. Write three numbers whose decimal expansions are nonterminating nonrec...

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  7. Find three different irrational numbers between the rational numbers 5...

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  8. Classify the following number as rational or irrational : sqrt23

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  9. Classify the following numbers as rational or irrational : sqrt225.

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  10. Classify the following number as rational or irrational : 0.3796

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  11. Classify the following number as rational or irrational : 7.478478...

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  12. Classify the following numbers as rational or irrational : 1.101001000...

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  13. Find the decimal expansions of 10/3,7/8 and 1/7 .

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  14. Find the decimal expansion of : 1/7.

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  15. Show that 3.142678 is a rational number. In other words, express 3.142...

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  16. Show that 0.3333... =0.bar3 can be expressed in the form p/q, where p ...

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  17. Show that 1.272727... =1.bar27 can be expressed in the form p/q , wher...

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  18. Show that 0.2353535... = 0.2bar35 can be expressed in the form p/q, w...

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  19. Find an irrational number between 1/7 and 2/7.

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  20. Visualize the representation of the number 2.668 on the number line.

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