The product of two integers, m × n, is negative. Is m ÷ n, the quotient of the same integers, positive, negative, or impossible to find without knowing the values of m and n? Explain.

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Answer:

The quotient of m and n is negative, since the only way the product of two integers can be negative is if one of the integers is negative. Meaning, m or n is negative. That's the same for division. The only way a quotient could be negative is if the dividend or divisor is negative.

The only way a product of two integers can be negative is if one of those integers is negative itself.

And that's the same for division. A negative divided by a positive? Negative. Positive divided by a negative? Negative. They have different signs. So the quotient of m and n would be negative since either n or m is negative.

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