Final answer:
To express the mass of Earth, which is given as 6.0 x 10¹⁵ teragrams, in milligrams, we multiply by 10¹ to convert to grams and then by 10³ to convert to milligrams, resulting in 6.0 x 10³⁰ milligrams.
Step-by-step explanation:
The mass of Earth given as 6.0 x 10¹⁵ teragrams must be expressed in milligrams. First, we convert 1 teragram (Tg) to grams (g) knowing that 1 Tg = 10¹ g. Then, we convert grams to milligrams (mg) by understanding that 1 g = 10³ mg.
To convert 6.0 x 10¹⁵ Tg to mg:
- Multiply 6.0 x 10¹⁵ Tg by 10¹ to get the mass in grams.
- Convert the result to milligrams by multiplying by 10³.
Therefore, the mass of Earth in milligrams is:
6.0 x 10¹⁵ Tg x 10¹ g/Tg x 10³ mg/g = 6.0 x 10¹⁵ x 10¹⁵ mg = 6.0 x 10³⁰ mg
The mass of Earth expressed in milligrams is 6.0 x 10³⁰ mg.
To convert the mass of Earth from teragrams to milligrams, you need to know the conversion factor between these units. There are 1,000,000,000,000 milligrams in one teragram.
The given mass of Earth is 6.0 x 10^15 teragrams. To convert this to milligrams, multiply the mass in teragrams by 1,000,000,000,000.
So, the mass of Earth in milligrams is 6.0 x 10^15 teragrams * 1,000,000,000,000 milligrams/teragram = 6.0 x 10^27 milligrams.