Question

Which sign makes the statement true?

3.0 × 10^–7 0.000000030 × 10^1
> < =

Answer 1

To compare the numbers \(3.0 \times 10^{-7}\) and \(0.000000030 \times 10^{1}\), we first simplify both expressions.

1. **Convert both numbers into the same exponential format.**

For \(3.0 \times 10^{-7}\), it is already in scientific notation.

For \(0.000000030 \times 10^{1}\):
\[
0.000000030 = 3.0 \times 10^{-8}
\]
Therefore,
\[
0.000000030 \times 10^{1} = (3.0 \times 10^{-8}) \times 10^{1} = 3.0 \times 10^{-8 + 1} = 3.0 \times 10^{-7}
\]

2. **Now we compare:**
\[
3.0 \times 10^{-7} \quad \text{and} \quad 3.0 \times 10^{-7}
\]

Since both numbers are equal, we have:

\[
3.0 \times 10^{-7} = 3.0 \times 10^{-7}
\]

Thus, the correct sign to make the statement true is \(=\).

Final answer:
\[
3.0 \times 10^{-7} \, = \, 0.000000030 \times 10^{1}
\]