To determine which number is greater between \( |−9| \) and \( |11| \), we first need to calculate the absolute values.
The absolute value of a number is its distance from zero on the number line, regardless of its sign.
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Calculate \( |−9| \): \[ |−9| = 9 \]
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Calculate \( |11| \): \[ |11| = 11 \]
Now we compare the two results:
- \( |−9| = 9 \)
- \( |11| = 11 \)
Since \( 11 \) is greater than \( 9 \), we conclude that:
\[ |11| > |−9| \]
Thus, \( |11| \) is the greater number.