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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.
-- If the two integers have the same sign, their quotient is positive. -- If the two integers have different signs, their quotient is negative.
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
To add two integers with opposite signs . . . -- Ignore the signs, and write the difference between the two numbers. -- Give it the same sign as the larger original number has.
Ignore the signs and subtract the smaller number from the larger one.