Question

Convert 4.3 kilograms to centigrams using dimensional analysis.

Answer 1

They are both (kilograms and centigrams) weights with the same dimension (mass), so they can be converted from one to the other.  

1 kilogram (kg) = 1000 grams and 1 gram (g) = 100 centigrams (cg)

So, 4.3 kg = 4.3 x 1000 = 4300 g = 4300 x 100 = 430000 = 43 x 10^4 cg.

So, the final answer is --> 430000 centigrams or 43 x 10^4 cg.