Question

Which sign makes the statement true

-√27 ___ -4.4...

Answer 1

To determine which sign makes the statement true, we first need to simplify \(-\sqrt{27}\).

\[
-\sqrt{27} = -\sqrt{9 \cdot 3} = -\sqrt{9} \cdot \sqrt{3} = -3\sqrt{3}
\]

Now, we can approximate \(\sqrt{3}\):
\[
\sqrt{3} \approx 1.732
\]

Therefore:
\[
-3\sqrt{3} \approx -3 \cdot 1.732 \approx -5.196
\]

Now we can compare \(-5.196\) with \(-4.4\):

Since \(-5.196\) is less than \(-4.4\), we have:

\[
-\sqrt{27} < -4.4
\]

Thus, the correct sign to complete the statement is:

\[
-\sqrt{27} < -4.4
\]