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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.
How is the absolute value of an additive inverse determined?
| -x | = |x|
Are absolute value and additive inverse equal why?
No. This is because absolute values are always positive. For example: |2|=2 absolute value Additive inverse means the opposite sign of that number so 2's additive inverse is -2. But sometimes if the number is -2 then the additive inverse equals the absolute value. therefore the answer is sometimes
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 different numbers that have the same absolute value called?
In Real numbers, each is the additive inverse of the other.
What is a number that is the same distance from 0 on a number line as a given number?
the absolute value
What has two different numbers that have the same absolute value?
Any number (other than 0), and its additive inverse.
What is the additive inverse of a rational number?
It is the number with the same magnitude (absolute value) and the opposite sign.
When the additive inverse of a number equal to the absolute value of the number?
One example would be a Galois Field size 4 (ie GF(4)). Here, the elements are {0,1,2,3} and every element is its own additive inverse.
What are the characteristics of absolute value?
They are always non-negative. The absolute values of any number and its additive inverse are the same: that is f(-x) = f(x) for all x.
