anonymous
  • anonymous
are integers closed to addition subtraction, multiplication, and division
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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amilapsn
  • amilapsn
What do you mean by closed?
welshfella
  • welshfella
being closed under these operations means that the result of these operations always returns another integer
anonymous
  • anonymous
@welshfella yes exactly

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anonymous
  • anonymous
@welshfella can you help me?
welshfella
  • welshfella
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
anonymous
  • anonymous
It doesn't say if 0 is included so I'm assuming it's not
welshfella
  • welshfella
https://www.mathsisfun.com/definitions/integer.html check this out
welshfella
  • welshfella
looks like the answer is no
anonymous
  • anonymous
okay so are integers closed to + - x /
anonymous
  • anonymous
@welshfella
welshfella
  • welshfella
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
welshfella
  • welshfella
they are closed for +,- and *
anonymous
  • anonymous
now I need to know the same for irrational numbers
welshfella
  • welshfella
they are not closed under multiplication for example sqrt2 * sqrt2 = 2 nor under subtraction for example sqrt3 - sqrt3 = 0

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