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What is the absolute value of -|−17|?

  1. 17

  2. -17

  3. 0

  4. −1

The correct answer is: 17

To find the absolute value of \(-|−17|\), let's break it down step by step. First, we need to calculate the expression inside the absolute value. The notation \(|−17|\) represents the absolute value of -17, which is 17. The absolute value function takes a number and returns its distance from 0 on the number line, effectively converting negative numbers to positive numbers. Therefore, \(|−17| = 17\). Next, we place this result back into the original expression: \(-|−17| = -17\). Now, we are trying to find the absolute value of -17. The absolute value of -17 is again 17, as it represents how far -17 is from 0 regardless of its sign. Thus, when looking for the absolute value of -|−17|, we ultimately find that the result is 17. This leads us to the conclusion that the correct answer is indeed 17.