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No, positive numbers do not always have a higher absolute value than negative numbers. The absolute value of a negative number is equal to its positive equivalent. For example, the absolute value of -3 and 3 is both 3.
That is false. A negative times a negative is always a positive. Since absolute numbers are always positive if you make it negative that is not correct.
The absolute value is the distance form zero. It is always positive.
Negative numbers are always less than their absolute value.
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3