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Yes... that is, if one is the opposite of the other. For example:

The absolute value of 6 is 6.

The absolute value of -6 is 6.

The absolute value is just the units a number is away from its orgin.

Q: Can two different numbers have the same absolute value?

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It is impossible. The absolute value is always positive.

If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.

Its impossible if they are both absolute value with different signs. If they have different signs one would be absolute value and one would be negative value.

opposites, additive inverses

If you are talking about same numbers but different signs then there are a lot. such a l-4l = l4l because they are the same amount of space to the zero.

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It is impossible. The absolute value is always positive.

If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.

Its impossible if they are both absolute value with different signs. If they have different signs one would be absolute value and one would be negative value.

No, they cannot.

In Real numbers, each is the additive inverse of the other.

Yes, they can. If x is a non-zero rational number then x and -x will have the same absolute value.

opposites, additive inverses

No. The sign you will use is going to be the sign with the greater absolute value.

If you are talking about same numbers but different signs then there are a lot. such a l-4l = l4l because they are the same amount of space to the zero.

Similar fractions. or decimals ending in repeating 9s - for example, 0.5 = 0.4999... or fractions and percentages eg 1/5 = 20% The answer cannot be numbers equal in absolute value but with opposite signs because although they have the same absolute value they do not have the same value - as required by the question.

Any number (other than 0), and its additive inverse.

-3 and 3 Both |-3| and |3| equal 3.