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Original Question
Which sign makes the statement true 20/8 ? 2 1/8Question
Which sign makes the statement true?
–8 ? –𝜋/2
< or >
–8 ? –𝜋/2
< or >
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Answered by
GPT-4o mini
To determine which sign makes the statement true, we need to compare the numerical value of \(-8\) with \(-\frac{\pi}{2}\).
First, let's find the numerical value of \(-\frac{\pi}{2}\):
- The value of \(\pi\) is approximately \(3.14\), so \(-\frac{\pi}{2}\) is approximately \(-1.57\).
Now we compare \(-8\) and \(-1.57\):
- \(-8\) is less than \(-1.57\).
So, the correct sign to make the statement true is:
\(-8 < -\frac{\pi}{2}\)
Therefore, the answer is "<".
First, let's find the numerical value of \(-\frac{\pi}{2}\):
- The value of \(\pi\) is approximately \(3.14\), so \(-\frac{\pi}{2}\) is approximately \(-1.57\).
Now we compare \(-8\) and \(-1.57\):
- \(-8\) is less than \(-1.57\).
So, the correct sign to make the statement true is:
\(-8 < -\frac{\pi}{2}\)
Therefore, the answer is "<".
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