High School

A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms?

(Note: 1,000 mg = 1 g, 1,000 g = 1 kg.)

[tex]\square[/tex]

Answer :

Sure! Let's go through the steps to convert the given mass from milligrams (mg) to kilograms (kg).

1. Understand the problem: We need to convert a mass of 245 mg to kilograms. We know:
- 1,000 milligrams (mg) = 1 gram (g)
- 1,000 grams (g) = 1 kilogram (kg)

2. Convert milligrams to grams:
Since there are 1,000 milligrams in 1 gram, we can divide the mass in milligrams by 1,000 to get the mass in grams.
[tex]\[
\text{mass}_g = \frac{245 \text{ mg}}{1000} = 0.245 \text{ g}
\][/tex]

3. Convert grams to kilograms:
Since there are 1,000 grams in 1 kilogram, we can divide the mass in grams by 1,000 to get the mass in kilograms.
[tex]\[
\text{mass}_kg = \frac{0.245 \text{ g}}{1000} = 0.000245 \text{ kg}
\][/tex]

So, the mass of the sample in kilograms is 0.000245 kg.