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Evaluate the expression for r = 9.

|r| + 3 =
question

key idea

solution

1 answer

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

  1. Substitute \( r = 9 \) into the expression: \[ |9| + 3 \]

  2. Calculate \( |9| \): \[ |9| = 9 \]

  3. Substitute this back into the expression: \[ 9 + 3 \]

  4. Calculate the result: \[ 9 + 3 = 12 \]

Thus, the evaluated expression for \( r = 9 \) is: \[ \boxed{12} \]