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.
Because that is how the opposite of a number is defined.
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.
No, because integers are defined as whole numbers.
That is how whole numbers are defined.
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.