Question
Evaluate the following expression. \[ -|-6|-|-10-19| \] The answer is \( \square \). (Type an integer or a decimal.)
Ask by Wagner Hill. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of the expression is \(-35\).
Solution
Let's evaluate the expression step by step:
\[
-|-6| - |-10 - 19|
\]
1. **Calculate \(|-6|\):**
\[
|-6| = 6
\]
2. **Calculate \(|-10 - 19|\):**
\[
|-10 - 19| = |-29| = 29
\]
3. **Substitute these values back into the expression:**
\[
-6 - 29 = -35
\]
So, the value of the expression is \(-35\).
\(\boxed{-35}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
First, we need to evaluate the absolute values in the expression step by step. 1. Calculate \(|-6|\): \[ |-6| = 6 \] 2. Calculate \(-10 - 19\): \[ -10 - 19 = -29 \] 3. Now calculate \(|-29|\): \[ |-29| = 29 \] 4. Substitute these values back into the expression: \[ -|6| - |29| = -6 - 29 \] 5. Now perform the subtraction: \[ -6 - 29 = -35 \] Therefore, the answer is \(-35\). The final answer is \(-35\).
