Question

Using dimensional analysis How many mg are there in 8.75 X 107 kilograms?

Conversion factors:
[1000 g = 1 Kg]
[1000 mg = 1 g]
Can you please show the work

Answer 1

8.75×10¹³ mg

Step-by-step explanation:

From the question given above, we obtained:

Mass (in Kg) = 8.75×10⁷ Kg

Mass (in mg) =?

Next, we shall convert 8.75×10⁷ Kg to grams (g). This can be obtained as follow:

1 Kg = 1000 g

Therefore,

8.75×10⁷ Kg = 8.75×10⁷ Kg × 1000 g/1 kg

8.75×10⁷ Kg = 8.75×10¹⁰ g

Therefore, 8.75×10⁷ Kg is equivalent to 8.75×10¹⁰ g.

Finally, we shall convert 8.75×10¹⁰ g to mg. This can be obtained as illustrated below:

1 g = 1000 mg

Therefore,

8.75×10¹⁰ g = 8.75×10¹⁰ g × 1000 mg/ 1 g

8.75×10¹⁰ g = 8.75×10¹³ mg

Thus, 8.75×10⁷ Kg is equivalent to 8.75×10¹³ mg.