To convert 58,500 centimeters to kilometers, we will use unit fractions to systematically convert from centimeters to meters and then from meters to kilometers.
### Step-by-Step Solution:
#### Step 1: Convert Centimeters to Meters
1. We know that the conversion factor from centimeters to meters is:
[tex]\[
1 \, \text{meter} = 100 \, \text{centimeters}
\][/tex]
2. We can write this as the unit fraction:
[tex]\[
\frac{1 \, \text{meter}}{100 \, \text{centimeters}}
\][/tex]
3. Now, we convert 58,500 centimeters to meters by multiplying by the unit fraction:
[tex]\[
58,500 \, \text{centimeters} \times \frac{1 \, \text{meter}}{100 \, \text{centimeters}} = 585.0 \, \text{meters}
\][/tex]
#### Step 2: Convert Meters to Kilometers
1. We know that the conversion factor from meters to kilometers is:
[tex]\[
1 \, \text{kilometer} = 1,000 \, \text{meters}
\][/tex]
2. We can write this as the unit fraction:
[tex]\[
\frac{1 \, \text{kilometer}}{1,000 \, \text{meters}}
\][/tex]
3. Now, we convert the 585.0 meters to kilometers by multiplying by the unit fraction:
[tex]\[
585.0 \, \text{meters} \times \frac{1 \, \text{kilometer}}{1,000 \, \text{meters}} = 0.585 \, \text{kilometers}
\][/tex]
### Final Answer:
- The length in meters: [tex]\( 585.0 \, \text{meters} \)[/tex]
- The length in kilometers: [tex]\( 0.585 \, \text{kilometers} \)[/tex]
