A rational number is always the result of dividing an integer when the divisor is nonzero.
An integer is any number which can be either positive and negative but not a fractional number. It is also a whole number. Examples are -1,256, -589, -1, 0, 1, 569, 5,236. It is always a rational number. By definition, a rational number is the division of two integers, where the divisor is not zero. Since the divisor is 1 when the number is an integer, then all integers are rational.
Yes, the square of an integer is always an integer.
The square root of an integer is a CYCLOTOMIC integer.
Yes, by definition, the sum of two integers is always an integer. Likewise, the product and difference of two integers is always an integer.
Yes. The square of an integer is just the number times itself. For any two whole numbers that are multiplied, the answer is always an integer (i.e. no decimals).
No.
Yes.
Yes, it is.
Yes.
Yes, always. That is the definition of a rational number.
Yes, by definition.
Division by an integer is always defined only when the divisor is not zero
I had this name question for homework :| no
Because that is how a rational number is defined!
Because that is how a rational number is defined!
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The sum of zero and a negative integer can never be zero - it will always be negative and nonzero. Although zero is also an integer, it is neither negative nor positive and cannot be the other integer used.