A positive and negative number with the same magnitude (value) will have their absolute values equal.
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The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
Consider the absolute values (the numerical values ignoring the signs) of the two numbers. If these are equal then the sum is equal; otherwise the sum takes the sign of which ever number has the larger absolute value.
No. Absolute value applies to the set of real numbers.
The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
yes