Question

How do you convert 6g to Kg?

Answer 1

Hint We know that, $\text{1Kg=1000g}$
The measurement of mass is done in grams in the CGS unit system and in SI unit system mass is measured in kilograms.

Complete step by step solution:
In the question it is asked how we can convert 6g to Kg .It is completely a unit conversion problem.
We have to know that we generally use grams to measure light weights in the metric systems and the measurement of mass in grams is represented in the CGS system is the centimeter-gram-second system. And with time SI unit i.e. International system of units was introduced and in that system the mass is measured only in Kilogram.
So here we may say unit conversion from CGS unit to SI unit is taking place.
Now let’s see how to convert and represent the unit gram to kilogram.
Here 6g of substance has to be converted into kilogram
For the conversion of units we should know two concepts:
-the relationship between the units and
- Conversion factors and operations that should be done
Let’s discuss these concepts through solving this problem:
The relationship between gram and kilogram is,
$\text{1Kg=1000g}$, now write the equation for one gram i.e. $\text{1g=}\dfrac{\text{1}}{\text{1000}}\text{Kg}$
Now we know how gram is related to Kg.
The factor that should be multiplied with 6g to get Kg is $\text{1g=}\dfrac{\text{1}}{\text{1000}}\text{Kg}$
Let’s multiply the conversion factor with 6g to get Kg.
And we write the conversion as,$6g\times \dfrac{\text{1}}{\text{1000}}\text{Kg=0}\text{.006Kg}$
To write values in exponential terms raised to base of 10, let’s see the steps.
Here 6g is given and we have to convert to Kg and we know that to convert g to Kg we should divide the number by thousand.
The digit 1000 can be written as$\text{1}{{\text{0}}^{\text{3}}}$, since here the conversion factor is $\dfrac{1}{1000}$
Therefore,$\dfrac{1}{1000}=\dfrac{1}{{{10}^{3}}}={{10}^{-3}}$
The conversion is, $\text{6g }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{Kg=6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{Kg}$

Note: If we have to convert a bigger unit into gram the smaller unit we have to multiply the conversion factor with the given unit.
Example: Convert 6 Kg to gram
Since $\text{1Kg=1000g}$,
$\text{6Kg=6 }\!\!\times\!\!\text{ 1000g=6000g}$
And to convert a smaller unit to a bigger unit we have to divide the conversion factor with the given term.