To determine the correct sign between \( -\pi \) and \( -3 \frac{1}{4} \), we first need to convert \( -3 \frac{1}{4} \) into a decimal or a simplified fraction.
The mixed number \( -3 \frac{1}{4} \) can be converted to an improper fraction as follows:
\[ -3 \frac{1}{4} = -\left(3 + \frac{1}{4}\right) = -3.25 \]
Now we can compare \( -\pi \) to \( -3.25 \):
The value of \( \pi \) is approximately \( 3.14 \), so:
\[ -\pi \approx -3.14 \]
Now, we have:
- \( -\pi \approx -3.14 \)
- \( -3 \frac{1}{4} = -3.25 \)
Now we can compare the two values:
Since \( -3.14 \) is greater than \( -3.25 \), we have:
\[ -\pi > -3 \frac{1}{4} \]
Thus, the correct sign to make the statement true is:
\[
\ \text{(greater than)} \]
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