To add a negative number and a positive number:
-- Find the difference of their absolute values (their sizes, ignoring their signs).
-- Give it the same sign as whichever of the original two numbers had the larger absolute value.
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A negative times a positive is always a negative. The rest is the same: just multiply as if they are both positive numbers and then add the negative sign at the end.
Either a negative or a positive result depending on the values of the numbers as for example -7+9 = 2 but -9+7 = -2
A negative and a positive number will multiply to a negative number. Other than that, -9 and -8 will satisfy your conditions.
Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.
Rational numbers can be negative or positive.