what is the rule in adding rational numbers
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The value of the answer is the sum of the absolute values of the numbers and the sign of the answer is the same as that of the two numbers.
Then you are adding two rational numbers with different signs! No big deal!
By finding their common denominator & adding the top numbers of-the fractions. : )
Subtraction is not commutative nor associative.
A rational number can be stated in the form a/b where and b are integers. Adding or multiplying such numbers always gives another number that can be expressed in this form also. So it is also rational.