Answer :
Answer:
0.000245 kg
Explanation:
We have been requested to convert 245 mg into kg. We can use the provided conversion factors.
It is noted that
- 1,000 mg = 1 g, and
- 1,000 g = 1 kg
We can make these into conversion factors:
- 1,000 mg = 1 g can be written as 1,000 mg/1 g, or as 1g/1,000mg. [Since the nominator and denominator equal each other, the effective value of these conversion factors will always be 1, despite the factor that non=unit numbers are present:
- 1,000 mg/g, or as 0.001g/mg
- The utility of these factors is that they provide a convenient conversion of units, without making the value incorrect.
- 1,000 g = 1 kg can be written as 1,000 g/kg
Let's see what we can use to convert mg to kg:
The first factor (0.001g/mg) will allow us to convert mg into g:
(245mg)*(0.001g/mg) = 0.245 g [The mg unit cancels, leaving just grams.
The other factor (1,000 g/kg) will allow us to convert g into kg:
(0.245 g)/(1,000 g/kg)
This division results in 0.000245 kg, since g cancels, and kg moves to the top.
For those who enjoy multiplication over division, conversion factors are a second heaven. Since the numerator and denominator are equivalent, the conversion factor can be inverted:
(1,000 g/kg) is the same as (1 kg/1,000g)
Now we can do the same conversion, but it is easier to see the unit cancellation:
(0.245 g)/(1kg/1,000g)
grams cancel, leaving 0.245 x 10^-3 or 0.000245 kg, the same as above.
