Question

Perform the following conversions. Show your work and give answer in scientific

notation with correct units. 3.398 cm² → km?

Answer 1

`3.398x10^(-10)km^2`

Step-by-step explanation:

Hello!

In this case, since this is a two-step conversion, we first need to compute the m² and then the km² as shown below:

`3.398cm^2*((1m)/(100cm) )^2=3.398cm^2*(1m^2)/(1x10^4cm^2) =3.398x10^(-4)m^2`

Now from m² to km²:

`3.398x10^(-4)m^2*((1km)/(1000m) )^2=3.398x10^(-4)m^2*(1km^2)/(1x10^6m^2)=3.398x10^(-10)km^2`

Best regards!