Question
Compute each of the absolute values. (a) \( |4-5| \) (b) \( |(-6)-(-3)| \) (c) \( |6-(-7)| \) (d) \( |(-3)-4| \) (a) \( |4-5|=1 \) (b) \( |(-6)-(-3)|=3 \) (c) \( |6-(-7)|=\square \)
Ask by Moran Ramos. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( |6-(-7)| = 13 \)
Solution
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The Deep Dive
To find \( |6-(-7)| \), first simplify inside the absolute value: \[ 6 - (-7) = 6 + 7 = 13 \] Now, take the absolute value: \[ |13| = 13 \] So, \( |6-(-7)| = 13 \). For the last expression: (d) \( |(-3)-4| \) can also be computed by following the same steps. First simplify inside the absolute value: \[ (-3) - 4 = -3 - 4 = -7 \] Now, take the absolute value: \[ |-7| = 7 \] So, \( |(-3)-4| = 7 \). In conclusion: (c) \( |6 - (-7)| = 13 \) (d) \( |(-3) - 4| = 7 \)
