What is a complete explanation of the rule for adding two numbers with like AND different signs?

Give a complete explanation of the rule for adding two numbers with like signs as well as adding two numbers with different signs. HINT: In your explanation use the term absolute valueWhat is a complete explanation of the rule for adding two numbers with like AND different signs?
Adding like signs: When adding numbers with only positive signs, add the numbers (number of gains) and the answer is positive. When adding numbers with only negative signs, add the numbers (number of losses) and the answer is negative.


-4 + (-8) = -12


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Adding unlike signs: When adding numbers with unlike signs, subtract the lower number from the higher number and use the sign of the higher number. (Please note ';higher'; and ';lower'; refer to the absolute values of each number.)


-5 + 7 = 2


5 + -7 = -2