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Why is it true for any two nonzero integers the product and quotient have the same sign?

For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.


Is the quotion of any two nonzero integers is a rational number true?

The definition of a rational number is the quotient of any two nonzero integers.


Why the quotient of an integer divided by a nonzero integer are not a rational numbers?

Any integer divided by a non-zero integer is rational.


Why does the product and quotient have the same signfro any two nonzero integers?

That is because that is how the product and quotient are defined.


Is any two nonzero integers the product and quotient have the same sign?

True.


Is it true that for any nonzero integers the product and quotient have the same sign?

Yes, it is.


Is it true that for any two nonzero integers the product and quotient have the same sign?

yes


Is the quotient of any two non zero integers is an integer?

No.


Why does any two nonzero integers the product and the quotient have the same sign?

It follows from the definitions of the two operations.


Is it true that for any two nonzero integers the product and quotient have the same sign and why?

It is true, and it follows from the definition of multiplication and division.


Why is 1 the least common integer?

1 is the least common factor of any set of positive integers because 1 is a factor of all nonzero integers and 1 is the smallest positive integer.


Is the quotient of any two integers a rational number?

No. The second integer MUST be non-zero.