Question

Which sign makes the statement true?
1.0 * 10^-9 0.0000001
><=

Answer 1

To determine the correct sign between \(1.0 \times 10^{-9}\) and \(0.0000001\), we first convert both numbers into the same format for easier comparison.

- The scientific notation \(1.0 \times 10^{-9}\) is equal to \(0.000000001\).
- The decimal \(0.0000001\) can also be expressed in scientific notation as \(1.0 \times 10^{-7}\).

Now, let's compare the two numbers:

- \(1.0 \times 10^{-9} = 0.000000001\)
- \(0.0000001 = 1.0 \times 10^{-7}\)

Since \(0.000000001\) is less than \(0.0000001\), we can conclude:

\[
1.0 \times 10^{-9} < 0.0000001
\]

Thus, the correct sign to make the statement true is:

\[
<
\]