Answer :
To convert various units to grams, we can use the basic understanding that 1 kilogram (kg) is equal to 1000 grams (g) and 1 milligram (mg) is equal to 0.001 grams (g). Let's convert each unit step by step:
a) 93 mg
To convert milligrams to grams, use the conversion factor: 1 mg = 0.001 g.
So, [tex]93 \, \text{mg} = 93 \, \text{mg} \times 0.001 \, \text{g/mg} = 0.093 \, \text{g}.[/tex]
b) 105 kg
To convert kilograms to grams, use the conversion factor: 1 kg = 1000 g.
So, [tex]105 \, \text{kg} = 105 \, \text{kg} \times 1000 \, \text{g/kg} = 105,000 \, \text{g}.[/tex]
c) 0.57 kg
Similarly, converting kilograms to grams:
[tex]0.57 \, \text{kg} = 0.57 \, \text{kg} \times 1000 \, \text{g/kg} = 570 \, \text{g}.[/tex]
d) 0.5 mg
Again using the milligram to gram conversion:
[tex]0.5 \, \text{mg} = 0.5 \, \text{mg} \times 0.001 \, \text{g/mg} = 0.0005 \, \text{g}.[/tex]
These conversions are helpful not just in mathematics, but also in real-world applications like medicine and science, where precise measurements are crucial.
