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Marlins0412 Group Title

Explain Irrational numbers and give a few examples Thanks!

  • one year ago
  • one year ago

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  1. inkyvoyd Group Title
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    A rational number is a number that can be expressed as the ratio of two integers. For instance, 0.5 is a rational number, which is 1/2

    • one year ago
  2. inkyvoyd Group Title
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    0.394 repeating can be expressed as 394/999

    • one year ago
  3. Marlins0412 Group Title
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    ok so how many irrational numbers are from 1-10?

    • one year ago
  4. Marlins0412 Group Title
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    Im studying for my ACT test tomorrow

    • one year ago
  5. inkyvoyd Group Title
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    However, in the defined "real number set", not all numbers can be expressed as the division of two integers. Although historically it took a bit of time for us to accept this, a simple proof of the the fact that \(\sqrt{2}\) is irrational is suffice

    • one year ago
  6. inkyvoyd Group Title
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    There are an infinite number of rational AND irrational numbers between 1-10...

    • one year ago
  7. Marlins0412 Group Title
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    give me an example why please

    • one year ago
  8. inkyvoyd Group Title
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    Well, pick two numbers between 1 and 10.

    • one year ago
  9. Marlins0412 Group Title
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    2 and 7

    • one year ago
  10. inkyvoyd Group Title
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    Pick two numbers in between those two.

    • one year ago
  11. Marlins0412 Group Title
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    5, 6

    • one year ago
  12. inkyvoyd Group Title
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    Now do it again.

    • one year ago
  13. Marlins0412 Group Title
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    5.6, 5.7

    • one year ago
  14. inkyvoyd Group Title
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    an important property of the real numbers is that they are continuous - in a sense, there are an INFINITE "number" of numbers in between any two different numbers, no matter how small the difference

    • one year ago
  15. inkyvoyd Group Title
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    There are actually "far more" irrational numbers than rational numbers.

    • one year ago
  16. Marlins0412 Group Title
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    so in 1-3 there is many aswell?

    • one year ago
  17. inkyvoyd Group Title
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    Well, comparing the two expressions is indeterminant I believe

    • one year ago
  18. Marlins0412 Group Title
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    Great! Thanks a lot for your help it cleared my confusion. Hopefully I get this right on one of the biggest tests of my life!

    • one year ago
  19. inkyvoyd Group Title
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    @Marlins0412 , the key thing to know is that there are an infinite number of rational and irrational numbers

    • one year ago
  20. inkyvoyd Group Title
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    rational numbers can be expressed as the division of two integers, while irrational numbers cannot

    • one year ago
  21. Marlins0412 Group Title
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    I see

    • one year ago
  22. Marlins0412 Group Title
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    WEll off to more studying thanks again

    • one year ago
  23. inkyvoyd Group Title
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    yes - good luck!

    • one year ago
  24. Marlins0412 Group Title
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    Thanks so much!

    • one year ago
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