The weight of 1 carat is given to be 200 mg.
Therefore, the weight of the hope diamond that contains 44.5 carats is given to be:of
[tex]\Rightarrow200\times44.5=8900\text{ mg}[/tex]We can convert mg to grams using the conversion:u
[tex]1000\text{ mg}\to1\text{ gram}[/tex]Therefore, 8900 mg will be:
[tex]\Rightarrow\frac{8900}{1000}=8.9\text{ grams}[/tex]The weight is 8.9 grams.