What is the absolute value of -8 + the additive inverse of 8 plus the opposite of 8
-8 + the additive inverse of 8 plus the opposite of 8
= -8 + (-8) + (-8)
= ???
then | ??? | = .....
To find the absolute value of an expression, we need to remove any negative signs and only consider the magnitude or distance from zero.
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. The opposite of a number is the number with the same magnitude but opposite sign.
Let's break down the given expression step by step:
1. Start with -8.
2. Add the additive inverse of 8. The additive inverse of 8 is -8, so -8 + (-8) equals -16.
3. Add the opposite of 8. The opposite of 8 is -8, so -16 + (-8) equals -24.
Now, we have -24. To find the absolute value, we remove the negative sign, considering only the magnitude. So the absolute value of -24 is 24.
Therefore, the absolute value of -8 + the additive inverse of 8 plus the opposite of 8 is equal to 24.