To determine the number of hectares in 10 square millimeters, follow these detailed steps:
1. Convert 10 square millimeters to square meters:
- We know that there are 1,000 millimeters in one meter.
- Therefore, there are [tex]\(1,000^2 = 1,000,000\)[/tex] square millimeters in one square meter.
- To convert 10 square millimeters to square meters, we divide by the number of square millimeters in one square meter.
[tex]\[
\frac{10 \text{ square millimeters}}{1,000,000 \text{ square millimeters per square meter}} = 1 \times 10^{-5} \text{ square meters}
\][/tex]
2. Convert square meters to hectares:
- We know that there are 10,000 square meters in one hectare.
- To convert square meters to hectares, we divide by the number of square meters in one hectare.
[tex]\[
\frac{1 \times 10^{-5} \text{ square meters}}{10,000 \text{ square meters per hectare}} = 1 \times 10^{-9} \text{ hectares}
\][/tex]
Now our final result is 1 \times 10^{-9} hectares. This matches option F. Therefore, the correct answer is:
[tex]\[
\boxed{F. \, 1.0 \times 10^{-9}}
\][/tex]
