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

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

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


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

Those are the rules of multiplication (and division).


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

It follows from the definitions of the two operations.


What can you say about the of two integers with the same signs?

-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.


How do you determine the sign of a quotient two integers?

-- If the two integers have the same sign, their quotient is positive. -- If the two integers have different signs, their quotient is negative.


How do you find the product and the quotient of two integers?

To find the Quotient and Product of two integers this is how it works if the two numbers are the same sign then it would be a postivite answer but if the two number has different signs the answer would be negative but that is only with muilty and divison


What is the quotient of two integers with the same sing?

The quotient has a positive sing in that case.


What can you tell about two integers when their quotient is positive negative zero?

Their quotient is positive if the integers have the same sign;negative if the integers have different signs;zero if the dividend is zero (and the divisor is not).


Name the rule for dividing integers with different signs?

The value of the quotient of two integers with different signs is the same as if the signs were the same. Because the numbers have different signs, the quotient is negative.