Hardy Spencer
05/03/2023 · High School
19. An orca has a mass of \( 3,628,000 \mathrm{~g} \). Re-write this mass using the best prefix from th
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Step-by-step Solution
To rewrite the mass of the orca, which is \( 3,628,000 \, \text{g} \), using the best metric prefix, we can convert grams to kilograms.
Since \( 1 \, \text{kg} = 1,000 \, \text{g} \), we can convert grams to kilograms by dividing by 1,000:
\[
3,628,000 \, \text{g} = \frac{3,628,000}{1,000} \, \text{kg} = 3,628 \, \text{kg}
\]
Now, we can express \( 3,628 \, \text{kg} \) using the metric prefix "kilo" (k), which represents \( 10^3 \) or 1,000.
Thus, we can write:
\[
3,628 \, \text{kg} = 3.628 \, \text{t} \quad \text{(where 1 t = 1,000 kg)}
\]
So, the mass of the orca can be rewritten as:
\[
3.628 \, \text{t} \quad \text{(metric tons)}
\]
This is the best prefix representation for the mass of the orca.
Quick Answer
The mass of the orca is \( 3.628 \, \text{t} \) (metric tons).
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