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Question: How do you convert \(19.545\,cg\) to \(kg\)?...

How do you convert 19.545 cg19.545\,cg to kgkg?

Explanation

Solution

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 {10^{ - 5\,}} , because we have the conversion relation as 1 cg= 10−5 kg1\,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, cgcg is centigrams and kgkg 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 10n{10^n} or by dividing the number by 10n{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{10^{ - 5}} times smaller than kilogram.
1 kg= 105 cg1\,kg = \,{10^5}\,cg or 1 cg= 10−5 kg1\,cg = \,{10^{ - 5\,}}kg
It means that for converting any number from kilograms to centigrams we have to multiply that number by 105 {10^5}\, or we can say that 100000100000 and for converting centigrams to kilograms we have to multiply that number by 105{10^5} or 100000100000 .
So for converting 19.545 cg19.545\,cg into kgkg , let's multiply 19.545 19.545\, with 10−5 {10^{ - 5\,}}
19.545 ×10−519.545\, \times {10^{ - 5}} = 19.545 100000\dfrac{{19.545\,}}{{100000}} = 0.000195450.00019545
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 10n{10^n} .
This value of n depends upon that particular conversion that we have to see. For example if we want to convert 50 km50\,km into mm then we have to multiply 5050 with 100100 because 1 km=100 m1\,km = 100\,m.

Then the calculation becomes as this, 50 km= 50×100 m50\,km = \,50 \times 100\,m ,= 5000 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 10n{10^n} and if we want to convert a smaller scale to bigger one always divide the number with 10n{10^n} .