To convert a length of rope from millimeters to meters, you can follow these steps:
1. Understand the Conversion Factor: We know that 1 meter equals 1,000 millimeters. This is our conversion factor that will help us convert between the two units.
2. Set Up the Conversion: We start with the length in millimeters, which is 3,000 mm. We need to multiply this length by the appropriate fraction to convert to meters. The fraction that will help us convert millimeters to meters is [tex]\(\frac{1 \text{ meter}}{1,000 \text{ millimeters}}\)[/tex].
[tex]\[
3,000 \text{ mm} \times \frac{1 \text{ meter}}{1,000 \text{ mm}}
\][/tex]
3. Perform the Conversion: When we multiply 3,000 mm by [tex]\(\frac{1 \text{ meter}}{1,000 \text{ mm}}\)[/tex], the millimeters unit cancels out, and we are left with meters.
[tex]\[
\frac{3,000 \text{ mm}}{1} \times \frac{1 \text{ meter}}{1,000 \text{ mm}} = \frac{3,000 \text{ meters}}{1,000}
\][/tex]
4. Simplify the Fraction: Finally, we divide 3,000 by 1,000 to get the length in meters.
[tex]\[
\frac{3,000 \text{ meters}}{1,000} = 3 \text{ meters}
\][/tex]
So, the length of the rope in meters is [tex]\(3.0 \, \text{meters}\)[/tex].
