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When are the absolute value and the opposite of a rational number equal?
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
What is the absolute value of -1000?
It's 1000. The absolute value of zero or any positive number is itself, while the absolute value of a negative number is the opposite, or additive inverse.
What is the opposite of the absolute value of -8?
The opposite of the absolute value of -8 is -8. This assumes that "opposite" refers to additive inverse, although there is no justification for such an assumption.
What is the additive inverse of .5?
The additive inverse for a number is its negative value. The sum of an integer and its additive inverse is zero. For the example (5), the additive inverse would be (-5).
What is the additive inverse of -21?
The additive inverse of a number is the value that, when added to the original number, results in zero. In this case, the additive inverse of -21 would be 21, as -21 + 21 equals zero. The additive inverse is essentially the negative of the original number, so the additive inverse of -21 is 21.
