Question
Elntegers and Rational Numbers Operations with absolute value: Problem type 1 (a) \( |6-7|=\square \) (b) \( |6|-7=\square \)
Ask by Martinez Tucker. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) \( |6-7| = 1 \)
(b) \( |6| - 7 = -1 \)
Solution
Let's solve each part step by step.
### Part (a): \( |6-7| \)
1. **Calculate the expression inside the absolute value:**
\[
6 - 7 = -1
\]
2. **Apply the absolute value:**
\[
|-1| = 1
\]
So, the answer for part (a) is:
\[
|6-7| = 1
\]
### Part (b): \( |6| - 7 \)
1. **Calculate the absolute value:**
\[
|6| = 6
\]
2. **Subtract 7 from the absolute value:**
\[
6 - 7 = -1
\]
So, the answer for part (b) is:
\[
|6| - 7 = -1
\]
### Final Answers:
(a) \( |6-7| = 1 \)
(b) \( |6| - 7 = -1 \)
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Simplify this solution Mind Expander
To solve \( |6-7| \), you first find the difference: \( 6-7 = -1 \). The absolute value of \(-1\) is \(1\), hence \( |6-7| = 1 \). Now for \( |6|-7 \): The absolute value of \(6\) is simply \(6\), so you have \( |6|-7 = 6-7 = -1 \). Therefore, the answers are \(1\) and \(-1\) respectively! Fun math, right?
