To evaluate the expression \( |r| + 3 \) for \( r = 9 \), we can follow these steps:
Question
Evaluate \( |r| + 3 \) for \( r = 9 \).
Key Idea
The absolute value of a number, denoted as \( |r| \), provides the non-negative value of that number, regardless of its sign. Since \( r = 9 \) is already positive, \( |r| = r \).
Solution
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Substitute \( r = 9 \) into the expression: \[ |9| + 3 \]
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Calculate \( |9| \): \[ |9| = 9 \]
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Substitute this back into the expression: \[ 9 + 3 \]
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Calculate the result: \[ 9 + 3 = 12 \]
Thus, the evaluated expression for \( r = 9 \) is: \[ \boxed{12} \]