?> How many Milligrams is in 1 Deciliter? | Math@TutorCircle.com
Sales Toll Free No: 1-855-666-7446

How many Milligrams is in 1 Deciliter?

TopTo measure the weights of quantities like some liquids or object we make use of many units. It depends on what is being measured, we allot the units. Units can be grams, kilograms, liters, milliliters, milligrams, deciliters etc. Let us see how many milligrams is in 1 deciliter.

We know that 1 liter of liquid measures 1 kilogram. 1 kilogram measures 100 grams. In 1 liter there are 10 deciliters. 1 gram has 1000 mg.
Using all the above measurement conversions we can find out the amount of milligrams in 1 deciliter as follows:

1 lt. = 1 kg......... equation (1)

As we know that 1 deciliter is 1 / 10th of 1 liter, we can write:

1 dl = 1 /10 lit

1 lt. = 10 dl …........equation (2)

Using equation 1 and 2 we can write:

10 dl = 1 kg

Or 1 dl = 1 /10 kg .......... equation (3)

Now:

1 kg = 100 grams …......... equation (4)

Substituting the value of 1 kg in equation 3 we get:

1 dl = 1 /10 kg,

Or 1 dl = 100 / 10 grams,

Or 1 dl = 10 grams …...........equation (5)

We know that: 1 gram = 1000 mg,

Sing this value of grams in equation 5 we get:

1 dl = 10 grams,

1 dl = 10 x 1000 mg,

Or 1 dl = 10000 mg = 104 mg

Thus we see that there are ten thousand milligrams in 1 deciliter. Therefore, milligram is the smallest unit out all the units we just discussed above. These units can be directly used with their conversion factors in the maths problems to get the answers in the desired units. For instance, how many mg are there in 24 dl?
The answer is 24 dl = 24 x 104mg.