If we remove 0 from the set of rational number is this closed for division?
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Yes it is possible under division.
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Under Division:
The rationals are not closed under division because of the possibility of division by zero. Zero is a rational number and division by zero is undefined.
Any number on the number line can become a new reference (zero). Zero is a reference for all values higher or lower —you CANNOT remove 0 from the set of rational numbers.
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