Final answer:
Conversion of units requires using the correct factors to multiply or divide. For example, to convert milligrams to kilograms, divide by 1 million; kilometers to micrometers, multiply by 1 billion; picograms to nanograms, divide by 1,000; millimeters to kilometers, divide by 1 million.
Step-by-step explanation:
The student's question deals with converting different physical quantities from one unit to another. This process involves using the appropriate conversion factors between units and performing simple multiplication or division to get the correct answer. Below, I'll go through the provided exercises using these conversions:
2,057 mg into kg: To convert milligrams to kilograms, you divide by 1,000,000 (since there are 1,000,000 milligrams in a kilogram). Thus, 2,057 mg = 2,057 / 1,000,000 kg which is 0.002057 kg.
1.25 x 10-7 km into µm: To convert kilometers to micrometers, multiply by 1,000,000,000 (since there are 1,000 meters in a kilometer, and 1,000,000 micrometers in a meter). Thus, 1.25 x 10-7 km = 1.25 x 10-7 x 1,000,000,000 µm which is 125 µm.
9.3 × 10-4 pg into ng: To convert picograms to nanograms, divide by 1,000 (since there are 1,000 picograms in a nanogram). So, 9.3 × 10-4 pg = 9.3 × 10-4 / 1,000 ng, which equals 0.00093 ng.
6.5 x 104 mm into km: To convert millimeters to kilometers, divide by 1,000,000 (because there are 1,000 millimeters in a meter, and 1,000 meters in a kilometer). Therefore, 6.5 x 104 mm = 6.5 x 104 / 1,000,000 km which is 0.065 km.