Division by an integer is always defined only when the divisor is not zero
Because that is how a rational number is defined!
Yes, that is how a rational number is defined.
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.
It looks to be the same name.
The quotient of two integers is not always an integer because division may result in a non-integer value when the numerator is not evenly divisible by the denominator. For example, dividing 5 by 2 gives 2.5, which is not an integer. Only when the numerator is a multiple of the denominator will the quotient be an integer.
Because that is how a rational number is defined!
Because that is how a rational number is defined!
Yes, that is how a rational number is defined.
No. In fact, the reciprocal of 0 is not defined.
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.
It looks to be the same name.
Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.
Yes, the square of an integer is always an integer.
An integer is a positive or negative whole number.
the square of an integer will always be an integer
If you multiply integers the results is an integer. If you divide integers (with one exception) the result is a rational number which, in some cases, may be an integer. However, the exception is that division by 0 is not defined.
Yes, always.