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Mathematics 21 Online
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

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!!

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

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

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

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

OpenStudy (anonymous):

so D.?

OpenStudy (misty1212):

if there is no "none of the above" choice, go with D

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

thanks

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