how many decimetres are there in a kilometre?

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