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Earn +20 ptsQ: Division by an integer is always defined?
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Why is the quotient of an integer divided by a nonzero integer always a rational number?
Because that is how a rational number is defined!
Should the quotient of an integer divided by a non zero integer always be a rational number?
Yes, that is how a rational number is defined.
What is the difference between division and integer division?
In integer division, you expect the result to be an integer. Anything left over will be quoted as a remainder. The more commonly used division (not integer division) will continue calculating decimals, up to the desired accuracy.
Is integer division another name for integer division?
It looks to be the same name.
Why the definition of a fraction restricts the denominator to being a nonzero integer?
Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.
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