Question

A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?
1 decagram=10 grams
1,000 milligrams = 1 gram
A) 0.002
B) 200
C) 2,000
D) 20,000

Answer 1

Hint: A variable is a letter that represents an unknown number. An expression is a group of numbers, symbols, and variables that represents another number.
To solve the question, read the linear problem carefully and note what is given in the question and what is required to find out. Translate the problem to the language of mathematics or mathematical conversions. Using the conditions given in the problems, solve the equation for the unknown.
And one more thing is metric conversions and customary unit conversions are very important to know while solving the questions.
1 decagram = 10 grams
1 gram = 1,000 milligrams

Complete step-by-step answer:
We have to find the number of 1-milligram doses that are there in one 2-decagram container.
So, firstly we will find the number of milligram in the container.
As we know that, 1 decagram = 10 grams
Therefore, 2 decagram = $2 \times 10$
2 decagram $ = {\text{ }}20grams$
And 1 gram = 1,000 milligrams
 $\begin{gathered}
  \therefore 20grams = 20 \times 1000milligrams \\
   = 20,000milligrams \\
\end{gathered} $
Since, 2 decagram = 20 grams = 20,000 milligrams
Hence, there will be 20,000 doses of 1-milligram in 2-decagram containers as it is stated that there is only one type of medicine in the container.

Note: To convert bigger units to a smaller unit multiply. To convert a smaller unit to a bigger unit divide.
There are two methods that are used for metric conversion problems. Students must remember that which units are smaller and which are bigger than only they can solve the problems correctly, for this they can make the conversion table and remember it.