convert 6 km into metre and centimetre.
The Correct Answer and Explanation is:
Correct Answer:
6 kilometers (km) = 6,000 meters (m)
6 kilometers = 600,000 centimeters (cm)
Explanation:
To convert units like kilometers to meters or centimeters, you need to understand how metric units relate to each other. The metric system is based on powers of ten, which makes conversions straightforward.
Step 1: Convert kilometers to meters
The prefix kilo means 1,000. So, 1 kilometer is equal to 1,000 meters.
To convert 6 kilometers to meters:6 km=6×1,000=6,000 meters6 \text{ km} = 6 \times 1,000 = 6,000 \text{ meters}6 km=6×1,000=6,000 meters
This tells us that there are 6,000 meters in 6 kilometers.
Step 2: Convert kilometers to centimeters
The prefix centi means 1/100. That is, 1 meter equals 100 centimeters.
We already know that 6 kilometers is 6,000 meters. Now we multiply that by 100:6,000 m=6,000×100=600,000 centimeters6,000 \text{ m} = 6,000 \times 100 = 600,000 \text{ centimeters}6,000 m=6,000×100=600,000 centimeters
So 6 kilometers equals 600,000 centimeters.
Why this is useful
Knowing how to convert between units in the metric system is important in science, engineering, and everyday life. For example, road distances are often given in kilometers, but measurements for smaller objects may use meters or centimeters. Being able to convert between them quickly helps avoid confusion and mistakes.
The metric system was designed to be easy to scale up or down. You just move the decimal point by multiplying or dividing by 10, 100, 1,000, and so on. This makes it more consistent than systems like the imperial system, where conversions require memorizing different numbers such as 12 inches in a foot or 3 feet in a yard.
In summary, 6 kilometers is equal to 6,000 meters or 600,000 centimeters.
