Question

How many millimeters in a kilometer?

Short answer

Answer: There are 1,000,000 millimeters in a kilometer.

Step-by-step solution

Know the conversion factors

It is essential to know the conversion factors between the units involved. There are 1,000 meters in a kilometer and 1,000 millimeters in a meter.

Convert kilometers to meters

Since we are given a distance in kilometers, we need to convert it to meters first. To do this, we multiply the number of kilometers by the conversion factor, which is 1,000 meters in 1 kilometer: Number of meters = Number of kilometers × 1,000

Convert meters to millimeters

Now that we have the distance in meters, we can convert it to millimeters. We do this by multiplying the number of meters by the conversion factor, which is 1,000 millimeters in 1 meter: Number of millimeters = Number of meters × 1,000

Combine the steps

Now, we can combine the previous steps to convert directly from kilometers to millimeters: Number of millimeters = (Number of kilometers × 1,000 meters) × 1,000 millimeters = Number of kilometers × 1,000,000

Calculate the number of millimeters in 1 kilometer

Using the formula derived in Step 4, we can find the number of millimeters in 1 kilometer: Number of millimeters in 1 kilometer = 1 × 1,000,000 = 1,000,000 So, there are 1,000,000 millimeters in a kilometer.