Question

Which sign makes the statement true?
5.159*10^-5 0.000005159
><=

Answer 1

To compare the two numbers \( 5.159 \times 10^{-5} \) and \( 0.000005159 \), we can express them in the same format.

First, we can convert \( 0.000005159 \) to scientific notation:

\[
0.000005159 = 5.159 \times 10^{-6}
\]

Now we have:

- \( 5.159 \times 10^{-5} \)
- \( 5.159 \times 10^{-6} \)

Since \( 10^{-5} > 10^{-6} \), it follows that:

\[
5.159 \times 10^{-5} > 5.159 \times 10^{-6}
\]

Thus, the sign that makes the statement true is:

\[
5.159 \times 10^{-5} > 0.000005159
\]

So the correct sign to use in the comparison is \( > \).