If two numbers have opposite signs, then their product and quotient are both negative.
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A positive number divided by a negative number equals a negative number.
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A fraction that equals one is any integer (negative or positive) that is divided by itself. For instance, -6/-6 equals one. 1,965/1,965 equals one.
A negative divided or multiplied by a negative is always positive. Just like how in English, a double-negative is positive.
A negative divided by a positive is negative. A negative divided by a negative is positive. A positive divided by a positive is positive. A positive divided by a negative is negative.