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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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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