Question

How do you convert $19.545\,cg$ to $kg$?

Answer 1

Hint:This is a conversion question where quantities have to change in one another. For converting centigram to kilograms, you have to multiply the number with ${10^{ - 5\,}}$ , because we have the conversion relation as $1\,cg = \,{10^{ - 5\,}}kg$ . Don’t forget to take the answer in decimal and you can also change it in fractions.


Complete step by step answer:
Firstly let’s see what these symbols are, $cg$ is centigrams and $kg$ is kilograms. In basic mathematics when we want to convert one unit into another, there are two chances possible. First that you can multiply by ${10^n}$ or by dividing the number by ${10^n}$ .
Here to convert firstly make sure what is the relation between these. A centigram is smaller than kilogram, now how much smaller is? It is ${10^{ - 5}}$ times smaller than kilogram.
$1\,kg = \,{10^5}\,cg$ or $1\,cg = \,{10^{ - 5\,}}kg$
It means that for converting any number from kilograms to centigrams we have to multiply that number by ${10^5}\,$ or we can say that $100000$ and for converting centigrams to kilograms we have to multiply that number by ${10^5}$ or $100000$ .
So for converting $19.545\,cg$ into $kg$ , let's multiply $19.545\,$ with ${10^{ - 5\,}}$
$19.545\, \times {10^{ - 5}}$ = $\dfrac{{19.545\,}}{{100000}}$ = $0.00019545$
We can easily convert any numeric form of any scale into another form. It’s simple as that as we convert centimetre into meter or meter into kilometre. In this type of conversion we multiply or divide that particular number by ${10^n}$ .
This value of n depends upon that particular conversion that we have to see. For example if we want to convert $50\,km$ into $m$ then we have to multiply $50$ with $100$ because $1\,km = 100\,m$.

Then the calculation becomes as this, $50\,km = \,50 \times 100\,m$ ,$ = \,5000\,m$


Note: Don’t get confused with scale, it is simple as if we want to convert a larger quantity scale into smaller scale always multiply it with ${10^n}$ and if we want to convert a smaller scale to bigger one always divide the number with ${10^n}$ .