how many decimetres are there in a kilometre?
again:
1 decimeter = 10^-1 meter
1 kilometer = 10^3 meters
so
1 km = x dcm *(10^-1 m/dcm )* (1 km/10^3 m)
x = 1 * 10^1 * 10^3
x = 10^4 = 10,000
1 kilometer = 10,000 decimeters
To find out how many decimeters are in a kilometer, we need to understand the relationship between these units of length.
A kilometer (km) is a unit of length in the metric system that is equal to 1,000 meters.
A decimeter (dm) is also a unit of length in the metric system. Deci- means one-tenth, so there are 10 decimeters in a meter.
To convert from kilometers to decimeters, we need to multiply by the appropriate conversion factors:
1 kilometer = 1,000 meters (since there are 1,000 meters in a kilometer)
1 meter = 10 decimeters (since there are 10 decimeters in a meter)
Using these conversion factors, we can set up the following calculation:
1 kilometer × 1,000 meters/kilometer × 10 decimeters/meter = 10,000 decimeters
Therefore, there are 10,000 decimeters in a kilometer.