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Question
dillon and his family are going hiking. the elevations of three trailheads are shown in the table.
trailhead | elevation (ft.)
big bend | 43
tree alley | 58
sandy way | -67
which trailhead’s elevation is closest to 0 feet?
big bend tree alley sandy way
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Step1: Find absolute values
To determine which elevation is closest to 0, we find the absolute value of each elevation. The absolute value of a number \( x \) is \( |x| \), which represents its distance from 0 on the number line.
- For Big Bend: \( |43| = 43 \)
- For Tree Alley: \( |58| = 58 \)
- For Sandy Way: \( | - 67| = 67 \)
Step2: Compare absolute values
Now we compare these absolute values: \( 43 < 58 < 67 \). The smallest absolute value means the elevation is closest to 0. Since 43 is the smallest absolute value among 43, 58, and 67, the elevation of Big Bend is closest to 0.
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Big Bend