Final answer:
The absolute value of a number is its distance from zero on the number line, ignoring the sign. To calculate the absolute value of -|-9|, we take the absolute value inside the bars first, which is 9, apply the negative sign making it -9, and then take the absolute value again, resulting in 9.
Step-by-step explanation:
The question asks us to determine the absolute value of -|-9|. First, let's clarify what the absolute value function represents. Absolute value is a mathematical function that gives the non-negative value of a number regardless of its sign. Essentially, it measures how far a number is from zero on the number line without considering the direction.
To find the absolute value of -|-9|, we follow these steps:
- First, we consider the expression within the innermost set of absolute value bars, which is -9. The absolute value of -9 is 9 because it is 9 units away from zero on the number line.
- Next, we apply the negative sign outside the inner absolute value, which makes it -9 again.
- Finally, we take the absolute value of -9, which, as before, is 9.
So, the absolute value of -|-9| is 9.