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clementchiew

  • one year ago

how do i show, a is an integer 1) a|0? 2)0|a?

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  1. zzr0ck3r
    • one year ago
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    does 0 divide anything?

  2. clementchiew
    • one year ago
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    no.

  3. zzr0ck3r
    • one year ago
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    but I don't see how either show a is an integer, maybe i'm missing something.

  4. clementchiew
    • one year ago
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    a is an integer is a condition. i just need to prove it or sth. my textbook is very subtle about requiring wat form of proof.

  5. zzr0ck3r
    • one year ago
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    a is an integer if it can be generated by <1>

  6. zzr0ck3r
    • one year ago
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    you are saying a is an integer and you need to prove a|0 and 0|a?

  7. clementchiew
    • one year ago
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    yeah. or show, as the textbook puts it.

  8. zzr0ck3r
    • one year ago
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    well part 1 makes no sense because 0 is in integer and 0 does not divide 0, and the second part makes no sense because nothing divides 0. So you can't prove either.

  9. clementchiew
    • one year ago
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    ah well. thanks anyway.

  10. zzr0ck3r
    • one year ago
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    is this exactly as the book shows the question?

  11. clementchiew
    • one year ago
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    yeah.

  12. zzr0ck3r
    • one year ago
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    you can say, if a is an integer and a is not 0, then 0=K*a when k=0, so a|0 because k is an integer (by definition of a|b), for part two nothing divides 0 is your counterexample:)

  13. clementchiew
    • one year ago
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    wow. right. thanks.

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