Question

Convert \[48.50mL\] to liters.
A. $0.4850L$
B. $4850L$
C. $0.04850L$
D. $0.00004850L$
E. $4.850L$

Answer 1

Hint: Conversion of units is to convert or change different units having the same quantity, type through multiplicative or division factors. Similarly, we can solve the given question having a conversion factor between both the units.

Complete step by step answer:
We can convert any set of units of the same type that is having the same dimensional formula by the given below chart
 k h d m d c m
You can remember this by
King Henry Died Mother Didn’t Cry Much
This stands for
Kilometer Hectometer Decameter Unit(here meter) Decimeter Centimeter Millimeter
As we move one space towards the right we multiply by $10$ and similarly by ${{10}^{-1}}$ as we move one space towards the left. Similarly, we keep on adding the factor of $10$as we move the number of spaces.
We will change the above chart since we have liter as units in the question:
k h d l d c m
This stands for
Kiloleter Hectoleter Decaliter Liter Decileter Centilitre Mililiter
So, our required quantity change is
$mL\to L$
that means milli liter to liters
In the given chart we can see that there are three spaces between ml and l and it is going towards the left direction so we will multiply by ${{10}^{-3}}$ that is
$1mL\to {{10}^{-3}}L$
But we were asked $48.50mL$ so we will multiply both sides by $48.50$ and we will get
\[\begin{align}
  & 48.50mL\to {{10}^{-3}}\times 48.50L \\
 & 48.50mL\to 4.850\times {{10}^{-2}}L \\
 & 48.50mL\to 0.04850L \\
\end{align}\]

So our final answer is option c that is $0.04850L$

Note: The given answer can also be rewritten as $0.0485L$since the number of zeros after the decimal doesn’t matter they both will give us the same answer or they both have the same meaning.