Solution: 1 mm to Kilometers Conversion

The question asks for the equivalent value of 1 millimeter (mm) in kilometers (km).

Understanding the Units

• A millimeter (mm) is a unit of length in the metric system.
• A kilometer (km) is also a unit of length in the metric system, equal to 1000 meters.

Conversion Factors

We use the following standard metric conversions:

• $1 \text{ meter} = 1000 \text{ millimeters}$ ($1 \text{ m} = 10^3 \text{ mm}$)
• $1 \text{ kilometer} = 1000 \text{ meters}$ ($1 \text{ km} = 10^3 \text{ m}$)

Step-by-Step Conversion

1. Calculate millimeters per kilometer:

   Combine the conversion factors to find how many millimeters are in one kilometer.

   $1 \text{ km} = 1000 \text{ m} \times \frac{1000 \text{ mm}}{1 \text{ m}} = 1,000,000 \text{ mm}$

   So, $1 \text{ km} = 10^6 \text{ mm}$.

2. Calculate kilometers per millimeter:

   To find the value of 1 mm in km, we take the reciprocal of the number of mm in 1 km.

   $1 \text{ mm} = \frac{1}{1,000,000} \text{ km}$

3. Express as a decimal:

   Convert the fraction to its decimal form.

   $\frac{1}{1,000,000} = \frac{1}{10^6} = 10^{-6} = 0.000001$

   Thus, $1 \text{ mm} = 0.000001 \text{ km}$.

Final Answer

Therefore, there are 0.000001 kilometers in 1 millimeter.