Question

Fill in the blanks
1 cg = ______ dag

Answer 1

Hint:First of all, we will analyse which one of the two units is a smaller quantity, which is obviously centigram. We know, we divide by subsequent tens while converting from smaller units to bigger units. The decreasing order of the units are decagram, gram, decigram and centigram.

Complete answer:
To start with, note that cg is equivalent to centigrams and dag is equivalent to dekagrams. Subsequently, when you are requesting to change over 1 cg to dag, you are requesting to change over 1 centigrams to dekagrams. A centigram is more modest than a dekagram.

Basically, cg is more modest than dag. Indeed, a centigram is "10 to the intensity of - 3" more modest than the dekagram. Since a centigram is "10 to the intensity of - 3" more modest than a dekagram, it implies that the change factor for cg to dag is "10 to the intensity of - 3".Consequently, you can increase 1 cg by "10 to the intensity of - 3" to get 1 cg changed over to dag.

Here is the appropriate response with the mathematical telling you the best way to change over 1 cg to dag by duplicating 1 by the transformation factor of "10 to the intensity of - 3"
Hence, 1 cg = ${10}^{-3}$ dag

Hence in blank we should write ${10}^{-3}$.

Note:While solving this problem, most of the students make mistakes by confusing decagram with decigram. It should be well remembered that decagram is bigger than decigram. 1 decagram means there are 10 grams, like 2 decagram means there are 20 grams. If we are asked to convert one decagram to a centigram, then we will multiply by 1000, as we are converting from a bigger unit to a smaller unit.