Mathematics
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OpenStudy (anonymous):
Which sets of numbers are closed under division?
Choose all answers that are correct.
A.
rational numbers
B.
integers
C.
{–1, 0, 1}
D.
whole numbers
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OpenStudy (anonymous):
@misty1212
OpenStudy (anonymous):
I know for sure it is not c.
OpenStudy (anonymous):
I am pretty sure it is B.
OpenStudy (anonymous):
possibly A. but not D.
OpenStudy (misty1212):
HI!!
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OpenStudy (anonymous):
Hi!!!
OpenStudy (thread252):
I believe you are correct
OpenStudy (misty1212):
remember 0 is a rational numbe r
OpenStudy (anonymous):
it is?
OpenStudy (misty1212):
so not A
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OpenStudy (anonymous):
Rational numbers: numbers that can be written as a fraction. This includes terminating or repeating decimals. that is what my lesson says
OpenStudy (misty1212):
also 0 is an integer
OpenStudy (anonymous):
i knew that...
OpenStudy (misty1212):
here is what you should be thinking
"if 0 is in the set, it is not closed under division, because you cannot divide by 0"
OpenStudy (anonymous):
true
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OpenStudy (misty1212):
so which one of those sets does NOT have 0 in it
OpenStudy (anonymous):
I have no idea since you said that 0 is a rational number
OpenStudy (anonymous):
0 is a whole number, an integer, and in the set mentioned for C>
OpenStudy (anonymous):
C.
OpenStudy (misty1212):
sure you do
not rationals
not integers,
certainly not -1,0,1
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OpenStudy (anonymous):
but 0 is a whole number
OpenStudy (misty1212):
i guess it depends on your definition
some start at 1
OpenStudy (misty1212):
most start at 0, so this is a bit confusing
OpenStudy (anonymous):
It would be a natural number but that isn't an option
OpenStudy (misty1212):
i would go with that, if there is not other option
"whole number" is not standard terminology anyways, precisely because of this confusion
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OpenStudy (anonymous):
so D.?
OpenStudy (misty1212):
if there is no "none of the above" choice, go with D
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
thanks