To convert the length of the gold wire from meters to millimeters, we need to use the following relationship:
1 meter = 1000 millimeters
Given that the length of the gold wire is 0.9 meters, we can find its length in millimeters by multiplying the number of meters by the conversion factor (1000):
[tex]\[
\text{Length in millimeters} = \text{Length in meters} \times 1000
\][/tex]
Substituting the given length:
[tex]\[
\text{Length in millimeters} = 0.9 \text{ meters} \times 1000
\][/tex]
Simplifying this:
[tex]\[
\text{Length in millimeters} = 900 \text{ millimeters}
\][/tex]
Therefore, the length of the gold wire is [tex]\(900 \text{ mm}\)[/tex].