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anonymous

  • one year ago

Which of the following is a counterexample of, "All rational numbers are integers"? is not an integer. 3 is an integer. -1 is a rational number. π is a rational number.

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  1. muscrat123
    • one year ago
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    what is the ? asking

  2. muscrat123
    • one year ago
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    pi is not a rational # i dont think

  3. muscrat123
    • one year ago
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    so i believe d can b eliminated

  4. anonymous
    • one year ago
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    oh i for got to add \[\frac{ 1 }{ 2 }\] in front ofther first option

  5. muscrat123
    • one year ago
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    but what is the ? asking

  6. anonymous
    • one year ago
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    i think its to show its a question not a statement

  7. muscrat123
    • one year ago
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    by counterexample, it means on the contrary, correct?

  8. anonymous
    • one year ago
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    i thinik...

  9. zepdrix
    • one year ago
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    Hey Audie :) "ALL rational numbers are integers" To show a counter example: Find a rational number which is NOT an integer. That will contradict the ALL of the original statement.

  10. anonymous
    • one year ago
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    i uh dont no what a integer is... @zep

  11. anonymous
    • one year ago
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    or i do and forgot

  12. zepdrix
    • one year ago
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    an integer is a positive or negative whole number, or zero.

  13. muscrat123
    • one year ago
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    What is an integer? Mathematically, integers are set of whole numbers (including zero), and the negative whole numbers: {0, 1, 2, 3, 4, ...} + {-1, -2, -3, -4, ...} In programming, an integer is limited to 32 bits of information, from -2,147,483,648 to 2,147,483,647.

  14. muscrat123
    • one year ago
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    an integer can pretty much be any number

  15. anonymous
    • one year ago
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    so c then?

  16. zepdrix
    • one year ago
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    Notice that the 4th option is clearly false. pi isn't a rational number. we don't care about the set of irrational numbers, the statement has nothing to do with them.

  17. zepdrix
    • one year ago
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    -1 is a rational number. I'm saying that -1 is also an integer. Hmm, nope. That supports the statement. It doesn't contradict it.

  18. anonymous
    • one year ago
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    i dont think it could be a because thats 1/2

  19. zepdrix
    • one year ago
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    is 1/2 a rational number? is 1/2 an integer?

  20. anonymous
    • one year ago
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    its not a integer because it says that but i dont think its rational because you cant rationalize it

  21. zepdrix
    • one year ago
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    a rational number is a number which can be written as a ratio of integers. Example: 5/2 is a rational number because it's an integer on top and on bottom. 0.15 is rational because we can write it as \(\large\rm \frac{15}{100}\). Again a ratio of whole numbers.

  22. anonymous
    • one year ago
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    oh so it would be a then...

  23. zepdrix
    • one year ago
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    So you've determined: 1/2 is a rational number 1/2 is not an integer Therefore ALL rational numbers cannot possibly be integers. Yessss good job \c:/

  24. anonymous
    • one year ago
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    thank you for your help!

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