Question

Convert the following into grams: 8254mg

Answer 1

Hint: There are 1000mg’s in one gram of the amount. Use this information in reverse order i.e. 1 mg will have $\dfrac{1}{1000}gram$ . Multiply the given weight in gram by $\dfrac{1}{1000}$ to get the conversion.

Complete step-by-step solution -
Here, we need to convert the term in ‘mg’ i.e. milligrams to grams (represented as ‘g’ only). So, we need to know the relation between both the units i.e. milligrams and grams.
Now as we know there are 1000 milligrams in 1 gram. So, we can write the relation as
$1gram=1000mg.......\left( i \right)$
As, we need to calculate the number of grams in 8254 milligrams. So, we can reverse the equation (i) by dividing the whole equation by 1500 and hence, we get
$\begin{align}
  & \dfrac{1}{1000}gram=1mg \\
 & \Rightarrow 1mg=\dfrac{1}{1000}gram.......\left( ii \right) \\
\end{align}$
Now, as we know the number of 1mg from the equation(ii). So, we can convert the given term i..e 8254mg to gram by multiplying 8254 by $\dfrac{1}{1000}$ as
$\begin{align}
  & 1mg=\dfrac{1}{1000}gram \\
 & 8254mg=\dfrac{1}{1000}\times 8254gram \\
 & 8254mg=\dfrac{8254}{1000}gram \\
\end{align}$
Now we can divide the number 8254 by 1000 by putting decimal before the third digit from the last as per the divisibility rules of multiples of 10. So, we get
8254 mg = 8.254 grams
Hence, there is 8.254 grams in 8254mg
So, the answer of the given problem is 8.254 gram.

Note: Conversion relation of milligram and gram should be clear for solving the problem. There is not only a mathematical method to get the relation, we just need to remember the relations between them. One may go wrong if he/she multiply the term in ‘mg’ by 1000 which is wrong as per the relation of them. So, be careful with this step as well, which is the key point of the question.