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anonymous

  • one year ago

are integers closed to addition subtraction, multiplication, and division

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  1. amilapsn
    • one year ago
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    What do you mean by closed?

  2. welshfella
    • one year ago
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    being closed under these operations means that the result of these operations always returns another integer

  3. anonymous
    • one year ago
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    @welshfella yes exactly

  4. anonymous
    • one year ago
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    @welshfella can you help me?

  5. welshfella
    • one year ago
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    I'm not sure - i should know but I'm wondering if 0 is included in the integers I'll have to check If it is then 6/0 is indeterminate so its not closed under division

  6. anonymous
    • one year ago
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    It doesn't say if 0 is included so I'm assuming it's not

  7. welshfella
    • one year ago
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    https://www.mathsisfun.com/definitions/integer.html check this out

  8. welshfella
    • one year ago
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    looks like the answer is no

  9. anonymous
    • one year ago
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    okay so are integers closed to + - x /

  10. anonymous
    • one year ago
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    @welshfella

  11. welshfella
    • one year ago
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    Oh - not just the 0 stops division being closed but for example 10/4 = 2.5 and 2.5 is not an integer so integers are definitely not closed under division

  12. welshfella
    • one year ago
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    they are closed for +,- and *

  13. anonymous
    • one year ago
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    now I need to know the same for irrational numbers

  14. welshfella
    • one year ago
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    they are not closed under multiplication for example sqrt2 * sqrt2 = 2 nor under subtraction for example sqrt3 - sqrt3 = 0

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