An integer is a positive or negative whole number.
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.
That is how whole numbers are defined.
No, because integers are defined as whole numbers.
Division by an integer is always defined only when the divisor is not zero
Yes, zero is defined as an integer.
Because that is how a rational number is defined!
Because that is how a rational number is defined!
We looked on-line for definitions of "integer", and every one we found defined "integer" as meaning "whole number". So, yes.
Yes, that is how a rational number is defined.
That is how whole numbers are defined.
No, because integers are defined as whole numbers.
No. In fact, the reciprocal of 0 is not defined.
No, because integers are defined as whole numbers.
Because that is how the opposite of a number is defined.
It is because that is how they are defined.